Constantino Tsallis

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Constantino Tsallis is affiliated with the following schools: Federal University of Pernambuco, Cornell University, Federal University of Rio Grande do Norte

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According to Wikipedia, Constantino Tsallis is a naturalized Brazilian physicist of Greek descent, working in Rio de Janeiro at Centro Brasileiro de Pesquisas Físicas , Brazil. Biography Tsallis was born in Greece, and grew up in Argentina, where he studied physics at Instituto Balseiro, in Bariloche. In 1974, he received a Doctorat d'État ès Sciences Physiques degree from the University of Paris-Sud. He moved to Brazil in 1975 with his wife and daughter.

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Constantino Tsallis's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Possible generalization of Boltzmann-Gibbs statistics (1988) (7290)
Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World (2009) (1651)
The role of constraints within generalized nonextensive statistics (1998) (1146)
Entropy (2022) (1084)
Nonextensive Entropy: Interdisciplinary Applications (2004) (794)
Generalized statistical mechanics : connection with thermodynamics (1991) (587)
Nonextensive statistics: theoretical, experimental and computational evidences and connections (1999) (540)
Generalized simulated annealing (1995) (396)
Optimization by Simulated Annealing: Recent Progress (1995) (335)
Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems (1997) (315)
Black hole thermodynamical entropy (2012) (303)
On a q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics (2008) (274)
What are the Numbers that Experiments Provide (1994) (266)
Entropic nonextensivity: a possible measure of complexity (2000) (231)
Generalized entropy-based criterion for consistent testing (1998) (221)
Non-Gaussian equilibrium in a long-range Hamiltonian system. (2001) (221)
Nonadditive entropy and nonextensive statistical mechanics - An overview after 20 years (2009) (195)
Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive (2005) (188)
I. Nonextensive Statistical Mechanics and Thermodynamics: Historical Background and Present Status (2001) (186)
Nonextensive statistical mechanics and economics (2003) (185)
Some comments on Boltzmann-Gibbs statistical mechanics (1995) (180)
Breakdown of Exponential Sensitivity to Initial Conditions: Role of the Range of Interactions (1998) (179)
Power-law sensitivity to initial conditions—New entropic representation (1997) (178)
Non-extensive thermostatistics: brief review and comments (1995) (155)
Nonextensive foundation of Lévy distributions. (1999) (147)
Information gain within nonextensive thermostatistics (1998) (147)
The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks (2011) (140)
Nonadditive entropy: The concept and its use (2008) (137)
Nonextensive statistical mechanics: A brief introduction (2003) (137)
Constructing a statistical mechanics for Beck-Cohen superstatistics. (2002) (131)
Are citations of scientific papers a case of nonextensivity? (1999) (127)
What should a statistical mechanics satisfy to reflect nature (2004) (120)
Nonlinear relativistic and quantum equations with a common type of solution. (2011) (117)
Power-law sensitivity to initial conditions within a logisticlike family of maps: Fractality and nonextensivity (1997) (109)
Nonadditive entropy reconciles the area law in quantum systems with classical thermodynamics. (2006) (106)
Nonextensive physics: a possible connection between generalized statistical mechanics and quantum groups (1994) (104)
Introduction to Nonextensive Statistical Mechanics and Thermodynamics (2003) (102)
The rate of entropy increase at the edge of chaos (1999) (100)
Multiplicative noise: A mechanism leading to nonextensive statistical mechanics (2002) (94)
Non-Extensive Thermostatistical Approach of the Peculiar Velocity Function of Galaxy Clusters (1996) (94)
Geometry optimization and conformational analysis through generalized simulated annealing (1998) (88)
Is re-association in folded proteins a case of nonextensivity? (1999) (86)
Numerical indications of a q-generalised central limit theorem (2005) (84)
Peres criterion for separability through nonextensive entropy (2001) (84)
Generalized Box–MÜller Method for Generating $q$-Gaussian Random Deviates (2006) (83)
From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy pp and pp¯ collisions (2015) (83)
Special issue overview Nonextensive statistical mechanics: new trends, new perspectives (2005) (82)
Generalization of symmetric alpha-stable Lévy distributions for q>1. (2009) (82)
Preferential attachment growth model and nonextensive statistical mechanics (2004) (80)
Nonergodicity and central-limit behavior for long-range Hamiltonians (2007) (79)
Anomalous diffusion: nonlinear fractional Fokker–Planck equation (2002) (79)
Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos. (2002) (79)
Dynamical scenario for nonextensive statistical mechanics (2003) (78)
Central limit behavior of deterministic dynamical systems. (2007) (76)
Simple Method to Calculate Percolation, Ising, and Potts Clusters: Renormalization-Group Applications (1981) (75)
Fractons and the fractal structure of proteins (1984) (75)
Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system (2001) (75)
Closer look at time averages of the logistic map at the edge of chaos. (2008) (74)
Border between regular and chaotic quantum dynamics. (2002) (73)
NONEXTENSIVE THERMOSTATISTICS AND FRACTALS (1995) (71)
The classical N-body problem within a generalized statistical mechanics (1994) (69)
Fluxes of cosmic rays: a delicately balanced stationary state (2002) (68)
Nonextensive statistical mechanics (2005) (68)
Nonextensive Statistical Mechanics, Anomalous Diffusion and Central Limit Theorems (2004) (62)
Two-dimensional turbulence in pure-electron plasma: A nonextensive thermostatistical description (1997) (62)
Fermi-Pasta-Ulam model with long-range interactions: Dynamics and thermostatistics (2014) (62)
Student's t- and r-distributions: Unified derivation from an entropic variational principle (1997) (61)
Phase diagram of the Ising Model on a Cayley tree in the presence of competing interactions and magnetic field (1985) (60)
Predicting COVID-19 Peaks Around the World (2020) (59)
Nonadditive entropy and nonextensive statistical mechanics – Some central concepts and recent applications (2009) (58)
Generative model for feedback networks. (2005) (58)
Nonextensive aspects of self-organized scale-free gas-like networks (2005) (57)
Strictly and asymptotically scale invariant probabilistic models of N correlated binary random variables having q-Gaussians as N → ∞ limiting distributions (2008) (56)
Computational applications of nonextensive statistical mechanics (2009) (56)
Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution (1998) (56)
Universal behaviour of interoccurrence times between losses in financial markets: An analytical description (2011) (55)
Statistical-Mechanical Foundation of the Ubiquity of the Lévy Distributions in Nature [Phys. Rev. Lett. 75, 3589 (1995)] (1996) (55)
A nonextensive approach to the dynamics of financial observables (2006) (52)
Influence of the interaction range on the thermostatistics of a classical many-body system (2012) (52)
Escort mean values and the characterization of power-law-decaying probability densities (2008) (51)
On multivariate generalizations of the ^-central limit theorem consistent with nonextensive statistical mechanics (2006) (50)
Criticality of the Anisotropic Quantum Heisenberg Model on a Self-Dual Hierarchical Lattice (1983) (50)
Limit distributions of scale-invariant probabilistic models of correlated random variables with the q-Gaussian as an explicit example (2009) (50)
Crossover in diffusion equation: anomalous and normal behaviors. (2003) (49)
Infinite-range Ising ferromagnet: Thermodynamic limit within Generalized Statistical Mechanics (1995) (48)
A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model (2008) (48)
Generalized entropy arising from a distribution of q indices. (2004) (48)
Extensive versus Nonextensive Physics (1994) (47)
Complexity, Metastability and Nonextensivity, (2005) (47)
Risk aversion in economic transactions (2001) (46)
Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena (2003) (46)
Role of dimensionality in complex networks (2015) (46)
Ensemble averages and nonextensivity at the edge of chaos of one-dimensional maps. (2004) (45)
Extensivity and entropy production (2005) (45)
Variational method in generalized statistical mechanics (1993) (44)
Comment on “Thermodynamic stability conditions for the Tsallis and Rényi entropies” by J.D. Ramshaw (1995) (44)
An introduction to nonadditive entropies and a thermostatistical approach to inanimate and living matter (2014) (44)
Anomalous distributions, nonlinear dynamics, and nonextensivity (2004) (42)
Pure and random Potts-like models: real-space renormalization-group approach (1996) (42)
Diagonalization methods for the general bilinear Hamiltonian of an assembly of bosons (1978) (42)
Specific heat of a free particle in a generalized Boltzmann-Gibbs statistics (1993) (40)
Magnetization in a quenched random-bond Ising ferromagnet with anisotropic coupling constants (1983) (40)
Unified model for network dynamics exhibiting nonextensive statistics. (2007) (40)
New representations of pi and Dirac delta using the nonextensive-statistical-mechanics q-exponential function (2010) (39)
SPECIFIC HEAT ANOMALIES ASSOCIATED WITH CANTOR-SET ENERGY SPECTRA (1997) (39)
Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy (2007) (38)
q-Gaussians in the porous-medium equation: stability and time evolution (2008) (37)
Circular-like maps: sensitivity to the initial conditions, multifractality and nonextensivity (1999) (36)
Comment on "Critique of q-entropy for thermal statistics". (2003) (35)
Classical spin systems with long-range interactions: universal reduction of mixing (2001) (35)
Renormalization group approach to nonextensive statistical mechanics (2000) (35)
CONNECTION BETWEEN ENERGY SPECTRUM, SELF-SIMILARITY, AND SPECIFIC HEAT LOG-PERIODICITY (1998) (33)
Bridging a paradigmatic financial model and nonextensive entropy (2005) (33)
q-Generalization of the inverse Fourier transform (2010) (32)
Nonlinear Schroedinger Equation in the Presence of Uniform Acceleration (2012) (32)
The Potts model and flows: I. The pair correlation function (1986) (32)
Nonextensive statistical mechanics and central limit theorems I—Convolution of independent random variables and q‐product (2007) (32)
Dynamics and statistics of the Fermi–Pasta–Ulam β-model with different ranges of particle interactions (2016) (32)
Nonextensive statistical mechanics: a brief review of its present status (2002) (31)
Metastability and weak mixing in classical long-range many-rotator systems. (2002) (31)
Nonlinear inverse bremsstrahlung absorption and nonextensive thermostatistics (1997) (31)
Random matrix ensembles from nonextensive entropy. (2004) (31)
Classical and Quantum Complexity and Non-extensive Thermodynamics (2002) (31)
Quasi-stationary states in low-dimensional Hamiltonian systems (2003) (30)
Generalization of the Kolmogorov–Sinai entropy: logistic-like and generalized cosine maps at the chaos threshold (2000) (30)
Beyond Boltzmann–Gibbs–Shannon in Physics and Elsewhere (2019) (30)
Time-Evolving Statistics of Chaotic orbits of Conservative Maps in the Context of the Central Limit Theorem (2011) (29)
Mixing and equilibration: Protagonists in the scene of nonextensive statistical mechanics (2001) (28)
Classical infinite-range-interaction Heisenberg ferromagnetic model: metastability and sensitivity to initial conditions. (2003) (27)
Economics and Finance: q-Statistical Stylized Features Galore (2017) (27)
Nonextensivity at the edge of chaos of a new universality class of one-dimensional unimodal dissipative maps (2009) (27)
Specific heat of the harmonic oscillator within generalized equilibrium statistics (1989) (27)
Ubiquity of metastable-to-stable crossover in weakly chaotic dynamical systems (2003) (26)
Approximate critical surface of the bond-mixed square-lattice Ising model (1980) (26)
Nonextensive Statistical Mechanics and Nonlinear Dynamics (2008) (25)
Linear instability and statistical laws of physics (2005) (25)
Surface effects in the Potts ferromagnet (1985) (25)
On the connection between financial processes with stochastic volatility and nonextensive statistical mechanics (2005) (25)
Temperature fluctuations of the cosmic microwave background radiation: A case of non-extensivity? (2005) (25)
Phase diagram of anisotropic planar Potts ferromagnets: a new conjecture (1982) (25)
On the robustness of q-expectation values and Rényi entropy (2008) (25)
Influence of global correlations on central limit theorems and entropic extensivity (2006) (24)
Asymmetric unimodal maps at the edge of chaos. (2001) (24)
Nonadditive entropy Sq and nonextensive statistical mechanics: Applications in geophysics and elsewhere (2012) (24)
Noise, synchrony, and correlations at the edge of chaos. (2012) (24)
Reply to Comment on “Towards a large deviation theory for strongly correlated systems” (2012) (23)
Renormalisation group attemts to obtain the transition line of the square-lattice bond-dilute Ising model (1980) (23)
Black Hole Entropy: A Closer Look (2019) (23)
Nonextensive statistical mechanics and central limit theorems II—Convolution of q‐independent random variables (2007) (23)
Criticality of the routes to chaos of the1−a|x|zmap (1984) (23)
Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems (2014) (23)
Deviation from Gaussianity in the cosmic microwave background temperature fluctuations (2007) (22)
On a representation of the inverse Fq-transform (2008) (22)
q-moments remove the degeneracy associated with the inversion of the q-Fourier transform (2011) (21)
Curl forces and the nonlinear Fokker-Planck equation. (2016) (21)
Derivation of Lévy-type anomalous superdiffusion from generalized statistical mechanics (1995) (21)
A nonextensive critical phenomenon scenario for quantum entanglement (2000) (21)
Power-law distributions in economics: a nonextensive statistical approach (Invited Paper) (2005) (21)
Towards a large deviation theory for strongly correlated systems (2012) (21)
Some thoughts on theoretical physics (2003) (21)
Negative specific heat in a Lennard-Jones-like gas with long-range interactions (2001) (20)
Erratum: “Information gain within generalized thermostatistics” [J. Math. Phys. 39, 6490 (1998)] (1999) (20)
Critical temperature and nonextensivity in long-range interacting Lennard–Jones-like fluids (1999) (20)
On the foundations of statistical mechanics (2017) (20)
Imitation games: Power-law sensitivity to initial conditions and nonextensivity (1998) (20)
Stability of the entropy for superstatistics (2003) (20)
Possible Implication of a Single Nonextensive pT Distribution for Hadron Production in High-Energy pp Collisions (2014) (19)
A new entropy based on a group-theoretical structure (2015) (19)
Nonextensivity of the cyclic lattice Lotka-Volterra model. (2003) (19)
Stationary and uniformly accelerated states in nonlinear quantum mechanics (2014) (18)
Crossover from extensive to nonextensive behavior driven by long-range d=1 bond percolation (1999) (18)
On the non-Boltzmannian nature of quasi-stationary states in long-range interacting systems (2006) (18)
Anomalous sensitivity to initial conditions and entropy production in standard maps: Nonextensive approach (2004) (18)
Sensitivity to initial conditions of a d-dimensional long-range-interacting quartic Fermi-Pasta-Ulam model: Universal scaling. (2015) (18)
Pure and dilute Z(N) spin and generalised gauge lattice systems: duality and criticality (1982) (18)
NONEXTENSIVE STATISTICAL MECHANICS — APPLICATIONS TO NUCLEAR AND HIGH ENERGY PHYSICS (2003) (17)
Is the Entropy Sq Extensive or Nonextensive? (2004) (17)
Role of dimensionality in preferential attachment growth in the Bianconi–Barabási model (2017) (17)
Generalization of the possible algebraic basis of q-triplets (2016) (16)
From the nonlinear Fokker-Planck equation to the Vlasov description and back: Confined interacting particles with drag. (2018) (16)
Criticality of the D=2 bond-dilute anisotropic Heisenberg ferromagnet (1985) (16)
Nonextensivity: From Low-Dimensional Maps to Hamiltonian Systems (2002) (16)
Renormalisation group treatment of bond percolation in anisotropic and 'inhomogeneous' planar lattices (1981) (15)
A generalization of the cumulant expansion. Application to a scale-invariant probabilistic model (2010) (15)
Boltzmann-Gibbs entropy is sufficient but not necessary for the likelihood factorization required by Einstein (2014) (15)
Epidemiological Model With Anomalous Kinetics: Early Stages of the COVID-19 Pandemic (2020) (15)
Quenched bond-dilute Ising ferromagnet in square lattice: Thermodynamical properties (1983) (15)
Approach of Complexity in Nature: Entropic Nonuniqueness (2016) (15)
Multivariate Generalizations of the q--Central Limit Theorem (2007) (15)
Specific heat of multifractal energy spectra. (2001) (15)
Probability distributions extremizing the nonadditive entropy S(δ) and stationary states of the corresponding nonlinear Fokker-Planck equation. (2013) (15)
Occupancy of phase space, extensivity of Sq, and q-generalized central limit theorem (2005) (15)
Specific heat of the anisotropic rigid rotator within generalized statistics (1995) (15)
Human and Computer Learning: An Experimental Study (2004) (15)
q-Gaussian approximants mimic non-extensive statistical-mechanical expectation for many-body probabilistic model with long-range correlations (2009) (15)
Some Open Points in Nonextensive Statistical mechanics (2011) (14)
Time evolution towards q-Gaussian stationary states through unified Itô-Stratonovich stochastic equation. (2010) (14)
Separable-entangled frontier in a bipartite harmonic system (2002) (14)
Statistical characterization of the standard map (2016) (14)
d-Dimensional Classical Heisenberg Model with Arbitrarily-Ranged Interactions: Lyapunov Exponents and Distributions of Momenta and Energies (2019) (14)
Frontier between separability and quantum entanglement in a many spin system (2001) (14)
Critically of the anisotropic quantum Heisenberg model on a simple cubic lattice (1985) (14)
Fermi–Pasta–Ulam–Tsingou problems: Passage from Boltzmann to q-statistics (2017) (14)
Mother wavelet functions generalized through q-exponentials (2004) (13)
Extrapolated renormalization-group calculation of the surface tension in square-lattice Ising model (1981) (13)
The limit distribution in the q-CLT for q ≥ 1 is unique and can not have a compact support (2016) (13)
The Domany-Kinzel cellular automaton: relaxation time, susceptibility and constrained dynamics (1994) (13)
Self-dual cluster renormalisation-group approach for the square lattice Ising model: specific heat and magnetisation (1981) (13)
D-Dimensional ideal gas in parastatistics: Thermodynamic properties (1987) (12)
Break-collapse method for resistor networks and a renormalisation-group application (1983) (12)
Ferromagnetic phase breakdown of a quenched bond-mixed Ising model (1982) (12)
A majority-rule model : real-space renormalization-group solution and finite size scaling (1982) (12)
Spin wave specific heat in quasiperiodic Fibonacci structures (2001) (12)
New effective-field theory for the Potts model (1984) (12)
Magnetic field influence on the spin-Peierls instability in the quasi-one-dimensional magnetostrictive XY model: Thermodynamical properties (1983) (12)
On the critical frontiers of Potts ferromagnets (1981) (12)
A generalised model for asymptotically-scale-free geographical networks (2019) (12)
Acoustic emissions in compression of building materials: q-statistics enables the anticipation of the breakdown point (2019) (12)
A dimension scale-invariant probabilistic model based on Leibniz-like pyramids (2011) (12)
Surface ferro (or antiferro) magnetism in bulk antiferro (or ferro) magnets : renormalization group analysis (1986) (11)
The transverse-momenta distributions in high-energy $pp$ collisions -- A statistical-mechanical approach (2014) (11)
Nonlinear inhomogeneous Fokker-Planck equation within a generalized Stratonovich prescription. (2014) (11)
Overdamped dynamics of particles with repulsive power-law interactions (2018) (11)
Conjecture on the critical frontier of the Potts ferromagnet on planar lattices (1981) (11)
Dissipative effects in nonlinear Klein-Gordon dynamics (2015) (11)
On the Extensivity of the Entropy Sq, the q-Generalized Central Limit Theorem and the q-Triplet (2005) (11)
Influence of the interaction anisotropy on the appearence of surface magnetism (1987) (11)
Surface magnetisation of the Ising ferromagnet in a semi-infinite cubic lattice: renormalisation group approach (1989) (10)
On the hierarchical lattices approximation of Bravais lattices: specific heat and correlation length (1985) (10)
Unified long-memory mesoscopic mechanism consistent with nonextensive statistical mechanics (2011) (10)
Metastable states of the classical inertial infinite-range-interaction Heisenberg ferromagnet: role of initial conditions (2004) (10)
Symmetric $(q,\alpha)$-Stable Distributions. Part II: Second Representation (2006) (10)
On the role of complementarity in biogenesis: a critical phenomenon approach. (1985) (10)
Generalizing What We Learnt: Nonextensive Statistical Mechanics (2009) (10)
On the origin of self-replicating information-containing polymers from oligomeric mixtures (1983) (10)
Chaos edges of z-logistic maps: connection between the relaxation and sensitivity entropic indices. (2005) (10)
Statistical characterization of discrete conservative systems: The web map. (2017) (10)
Symmetric $(q,\alpha)$-Stable Distributions. Part I: First Representation (2006) (10)
Thermodynamics and Statistical Mechanics for Complex Systems --- Foundations and Applications (2015) (10)
New approach for multicriticality in directed and diode percolation (1983) (10)
First- and second-neighbor square-lattice Potts model: Renormalization-group treatment (1984) (10)
Inter-occurrence times and universal laws in finance, earthquakes and genomes (2016) (9)
Generalized Archie law — application to petroleum reservoirs (1992) (9)
q-generalized representation of the d-dimensional Dirac delta and q-Fourier transform (2017) (9)
Generalization to nonextensive systems of the rate of entropy increase: The Case of the logistic map (1999) (9)
Möbius Transforms, Cycles and q-triplets in Statistical Mechanics (2019) (9)
Long-ranged Fermi-Pasta-Ulam systems in thermal contact: Crossover from q-statistics to Boltzmann-Gibbs statistics (2017) (9)
Probability renormalisation group treatment of bond percolation in square, cubic and hypercubic lattices (1980) (9)
Thermostatistically approaching living systems: Boltzmann–Gibbs or nonextensive statistical mechanics? (2006) (9)
On the robustness of the $q$-Gaussian family (2015) (9)
Extended variational method in statistical mechanics (1982) (9)
Connecting complex networks to nonadditive entropies (2020) (9)
Probability distributions and associated nonlinear Fokker-Planck equation for the two-index entropic form S(q,δ). (2014) (9)
Criticality of the discrete N-vector ferromagnet in planar self-dual lattices (1990) (9)
Connection between scale-free networks and nonextensive statistical mechanics (2008) (8)
Circular-like maps: sensitivity to the initial conditions, multifractality and nonextensivity (1998) (8)
Non-Maxwellian behavior and quasistationary regimes near the modal solutions of the Fermi-Pasta-Ulam β system. (2012) (8)
Renormalization group specific heat and magnetization of the Ising ferromagnet in cubic and hypercubic lattices (1981) (8)
Classical statistical approach to anisotropic two-dimensionalXY-model (1976) (8)
Critical frontiers associated with the bond-diluted Ising ferromagnet on triangular and honeycomb lattices (1982) (8)
Spread damage in the discrete N-vector ferromagnet: exact results (1993) (8)
A generalization of the Zipf-Mandelbrot Law in Linguistics (2004) (8)
Nonstandard entropy production in the standard map (2002) (8)
Extensive nonadditive entropy in quantum spin chains (2007) (8)
Conjecture on the critical frontier of the fully anisotropic homogeneous quenched bond-mixed Potts ferromagnet in square lattice (1981) (8)
Fluxes of cosmic rays: A delicately balanced anomalous thermal equilibrium (2002) (8)
Comment on “Ergodicity and central-limit theorem in systems with long-range interactions” by Figueiredo A. et al. (2008) (8)
Mathematical Foundations of Nonextensive Statistical Mechanics (8)
Effects of external stresses on the metamagnetic transition of a highly anisotropic antiferromagnet (1971) (7)
Exponents Far from Tc. Application to the Specific Heat of Some Hierarchical Structures (1986) (7)
Long-range memory elementary 1D cellular automata: Dynamics and nonextensivity (2006) (7)
Nonlinear q-Generalizations of Quantum Equations: Homogeneous and Nonhomogeneous Cases - An Overview (2017) (7)
Sensitivity to initial conditions, entropy production, and escape rate at the onset of chaos (2011) (7)
Stock exchange: A statistical model (1995) (7)
Simple renormalisation group method for calculating thermal equations of states (1987) (7)
Exact time-dependent solutions for anomalous diffusion with absorption (2001) (7)
Long-range interacting classical systems: universality in mixing weakening (2000) (7)
Zeroth principle of thermodynamics in aging quasistationary states (2003) (7)
Nonlinear drag forces and the thermostatistics of overdamped motion. (2018) (6)
Anomalous diffusion and nonextensive scaling in a one-dimensional quantum model with long-range interactions (2000) (6)
Nonextensive Statistical Mechanics - An Approach to Complexity (2008) (6)
Risk aversion in financial decisions: A nonextensive approach (2003) (6)
Localized-spins ideal paramagnet within non-extensive thermostatistics (1996) (6)
Special scale-invariant occupancy of phase space makes the entropy Sq additive (2005) (6)
Statistics of the One-Dimensional Riemann Walk (2000) (6)
Conduction electron spin resonance due to exchange and spin-orbit scatterings by silute impurities in superconductors (1977) (6)
A critical phenomenon approach of biogenesis (1986) (6)
Biogenesis and the growth of DNA-like polymer chains: A computer simulation (1988) (6)
SURFACE MAGNETIC ORDER AND EFFECTS OF THE NATURE OF THE INTERACTIONS (1988) (6)
Risk aversion in trade transactions (2001) (6)
Aperiodic interactions on hierarchical lattices: an exact criterion for the Potts ferromagnet criticality (1998) (6)
CORRELATION FUNCTION STUDIES ON THE DOMANY-KINZEL CELLULAR AUTOMATON (1998) (6)
The Edge of Quantum Chaos (2002) (6)
GENERALIZING THE PLANCK DISTRIBUTION (2005) (6)
Criticality of the Potts ferromagnet in Migdal-Kadanoff-like hierarchical lattices (1987) (5)
Noisy coupled logistic maps in the vicinity of chaos threshold. (2016) (5)
Statistical mechanics for complex systems: On the structure of q-triplets (2016) (5)
On the universality classes of the Henon map (1985) (5)
Polychromatic majority model: criticality and real space renormalization group (1990) (5)
Z(6) model: Criticality and break-collape method (1989) (5)
Scaling properties of d-dimensional complex networks. (2018) (5)
Erratum: Thermal behavior of the Debye-Waller factor and the specific heat of anharmonic crystals (1980) (5)
COMPLEXITY, METASTABILITY, AND NONEXTENSIVITY: An International Conference (2007) (5)
Erratum to: ``Anomalous diffusion: nonlinear fractional Fokker Planck equation'' (2003) (5)
Do the simple and 2/3 majority models belong to the same universality class?: A monte carlo approach (1991) (5)
Advancing Faddeev: Math Can Deepen Physics Understanding (1998) (5)
q-generalization of symmetric alpha-stable distributions. Part II (2006) (5)
Nonlinear inhomogeneous Fokker-Planck equations: Entropy and free-energy time evolution. (2016) (5)
Dimerization in the magnetostrictive one-dimensional XY model (1981) (5)
Nonextensive statistical mechanics: Applications to high energy physics (2011) (5)
Gap Road to Chaos: Liapunov and Uncertainty Exponents and Multifractality (1989) (5)
Square-lattice random potts model: Criticality and pitchfork bifurcation (1984) (5)
Anisotropic cubic lattice Potts ferromagnet: renormalisation group treatment (1982) (5)
Bridging the ARCH model for finance and nonextensive entropy (2004) (5)
On the Emergence of Nonextensivity at the Edge of Quantum Chaos (2003) (5)
Phase diagram of the Z(4) ferromagnet in an anisotropic square lattice (1986) (5)
Nonextensive statistical mechanics and high energy physics (2014) (5)
The three-dimensional quantum Heisenberg ferromagnet with random anisotropy (1985) (5)
Structural phase transition of a linear magnetic chain under the influence of external magnetic field and stress (1976) (5)
Emergence of $q$-statistical functions in a generalized binomial distribution with strong correlations (2014) (5)
Thermal conductance of the coupled-rotator chain: Influence of temperature and size (2017) (4)
A generalised Hubbard Hamiltonian : influence of temperature and fractality (1991) (4)
Quasi-stationary-state duration in d -dimensional long-range model (2020) (4)
Nonextensive statistical mechanics, superstatistics and beyond: theory and applications in astrophysical and other complex systems (2020) (4)
Area-law-like systems with entangled states can preserve ergodicity (2020) (4)
Enthusiasm and Skepticism: Two Pillars of Science—A Nonextensive Statistics Case (2022) (4)
Dynamics of KH2PO4 type ferroelectric phase transitions (1972) (4)
Enhancement of surface magnetism due to bulk bond dilution (1986) (4)
Extensive Numerical Results for Integrable Case of Standard Map (2020) (4)
Critical properties of the D=3 bond-mixed quantum Heisenberg ferromagnet (1984) (4)
Renormalization group phase boundary of the three-dimensional bond-dilute Ising ferromagnet (1981) (4)
Electrostatic Field in a Slightly Orthorhombic Ionic Crystal — Application to the Calculation of Tetragonal BaTiO3 and PbTiO3 Birefringence (1970) (4)
Real-space renormalisation group: application to site percolation in square lattices (1979) (4)
A quenched bond-mixed Ising model: Ferromagnetic phase stability limit☆ (1983) (4)
Epidemiological model with anomalous kinetics - The Covid-19 pandemics (2020) (4)
On the connection between linear combination of entropies and linear combination of extremizing distributions (2016) (4)
On the critical point of the fully anisotropic quenched bond-random Potts ferromagnet in triangular and honeycomb lattices (1983) (4)
Roundoff-induced attractors and reversibility in conservative two-dimensional maps (2007) (4)
On the extensivity of the Entropy SQ for n <= 3 Specially Correlated Binary Subsystems (2004) (4)
On the geometrical interpretation of fraction and fractal dimensionality (1988) (4)
SYSTEMATIC APPROACH TO CRITICAL PHENOMENA BY THE EXTENDED VARIATIONAL METHOD AND COHERENT-ANOMALY METHOD (1990) (4)
Has the Spread-of-Damage Order Parameter a Conjugate Field? (1994) (4)
Structural Lifshitz point in the quasi d = 1 magnetostrictive XY model (1982) (4)
Functions of linear operators: Parameter differentiation (1999) (4)
Criticality of the discrete N-vector ferromagnet in a cubic lattice with a free surface (1990) (4)
Criticality of the semi-infinite Potts ferromagnet: a renormalisation group approach (1985) (4)
Self-dual planar lattice Ising ferromagnet within generalized thermostatistics (1996) (3)
q-GENERALIZATION OF SYMMETRIC α-STABLE DISTRIBUTIONS. PART II (2006) (3)
Specific heat of the anisotropic rigid rotator (1984) (3)
Comment on ``Temporal scaling at Feigenbaum point and nonextensive thermodynamics" by P. Grassberger (2005) (3)
A local-field-type model for immunological systems: time evolution in real and shape spaces (1996) (3)
Stability analysis of the entropies for superstatistics (2004) (3)
Entropy: A unifying path for understanding complexity in natural, artificial and social systems (2011) (3)
On the role of q-Fourier transform in physical complexity (2010) (3)
Approaching a large deviation theory for complex systems (2020) (3)
Comment on "Negative specific heat for a cluster of 147 Sodium atoms" by Schmidt et al (2001) (3)
Generalized Box-Müller Method for Generating (2007) (3)
Reconciling the Black Hole Entropy with Classical Thermodynamics (2012) (3)
On mixing and metaequilibrium in nonextensive systems (2001) (3)
Generalization of the Lie–Trotter product formula for q-exponential operators (1999) (3)
Interface in Potts ferromagnet: phase diagram and critical exponents (1985) (3)
Convergence of the probability of large deviations in a model of correlated random variables having compact-support Q-Gaussians as limiting distributions (2014) (3)
Boltzmann-Gibbs thermal equilibrium distribution for classical systems and Newton law: a computational discussion (2004) (3)
Advances in statistical physics (2009) (3)
Renormalisation-group specific heat of the square-lattice Potts ferromagnet (1983) (3)
Phase transition in a bond dilute two dimensional ising model (1980) (3)
Erratum to “Infinite-range Ising ferromagnet: thermodynamic limit within generalized statistical mechanics” [Physica A 213 (1995) 337]☆ (1995) (3)
Exactly solvable model for a genetically induced geographical distribution of a population (1993) (3)
Complexity, metastability and nonextensivity : 31st Workshop of the international school of solid state physics, Erice, Sicily, Italyl 20-26 July 2004 (2005) (3)
External stress influence on the spin-peierls phase diagram of the XY model (1983) (3)
Chaotic behavior of the Fermi--Pasta--Ulam $\beta $--model with different ranges of particle interactions (2016) (3)
Optimal Hebbian Learning Rules and the Role of Asymmetry (1994) (3)
Generative Historical Model of City Size Hierarchies : 430 BCE – 2005 ∗ (2005) (3)
Effect of cross-links on the autocatalytic polymerization of RNA-like chains (1998) (3)
On the maintenance of polygenic variance in a migrating population (1999) (3)
Along the Lines of Nonadditive Entropies: q-Prime Numbers and q-Zeta Functions (2021) (2)
Nonstandard mixing in the standard map (2001) (2)
THE GAP ROAD TO CHAOS AND ITS MAIN CHARACTERISTICS (1989) (2)
Thermodynamically consistent entropic-force cosmology (2022) (2)
Correlated majority model (1993) (2)
Generalizeo bond percolation and random models. Application to two - dimensional systems (1981) (2)
T. Dauxois' "Non-Gaussian distributions under scrutiny" under scrutiny (2007) (2)
Susceptibility of the Potts model on a hierarchical lattice: Renormalization group approach (1990) (2)
ON THE MEASURE OF FRACTAL DIMENSIONALITIES THROUGH PHYSICAL PROPERTIES (1986) (2)
Sensitivity to Initial Conditions and Nonextensivity in Biological Evolution (1996) (2)
Spin anisotropy effects on the dimerization of the magnetostrictive quasi-one-dimensional XY model (1982) (2)
Biogenesis: diversity, selection and fractality (1988) (2)
Anisotropic Heisenberg surface on semi-infinite Ising ferromagnet : renormalization group treatment (1985) (2)
Influence of Dilution and Nature of the Interaction on Surface and Interface Magnetism (1986) (2)
Comment on "Entropy of Classical Systems with Long-Range Interactions" by T.M. Rocha Filho et al, PRL 95, 190601 (2005) (2006) (2)
Nonlinear Fokker-Planck Equation for an Overdamped System with Drag Depending on Direction (2021) (2)
Nonadditive entropy : The concept and its use C . Tsallis (2009) (2)
Dynamical robustness of discrete conservative systems: Harper and generalized standard maps (2019) (2)
News and Views: About Complexity and Why to Care (2014) (2)
My friend Ricardo Ferreira, an impressive natural philosopher (2008) (2)
M ay 2 00 8 SYMMETRIC ( q , α )-STABLE DISTRIBUTIONS . PART I : FIRST REPRESENTATION (2008) (2)
Weak chaos and metastability in a symplectic system of many long-range-coupled standard maps (2006) (2)
Exploring the Neighborhood of q-Exponentials (2020) (2)
Nonadditive Entropies and Complex Systems (2019) (2)
Quasi-stationary-state duration in the classical d-dimensional long-range inertial XY ferromagnet. (2021) (2)
Generalization of the Peres criterion for local realism through nonextensive entropy (2000) (2)
Extensive q-entropy in quantum magnetic systems (2006) (2)
Complexity and Nonextensive Statistical Mechanics – Theory, Experiments, Observations and Computer Simulations (2008) (1)
WEAK CHAOS IN LARGE CONSERVATIVE SYSTEM – INFINITE-RANGE COUPLED STANDARD MAPS (2005) (1)
Edge of chaos of the classical kicked top map: Sensitivity to initial conditions (2005) (1)
The bond-diluted interface between semi-infinite Potts bulks: criticality (1986) (1)
Complex network growth model: Possible isomorphism between nonextensive statistical mechanics and random geometry. (2022) (1)
Historical Background and Physical Motivations (2009) (1)
Phase diagram of the Hubbard model with arbitrary band filling (1992) (1)
Statistical physics : invited papers from STATPHYS 17 : invited papers presented at the 17th IUPAP International Conference on Thermodynamics and Statistical Mechanics, Rio de Janeiro, 31 July-4 August 1989 (1990) (1)
First-principle validation of Fourier's law in d=1,2,3 classical systems (2022) (1)
Spontaneous magnetisation of the extended discrete N-vector ferromagnet (1992) (1)
Statistical mechanical approach of complex networks with weighted links (2021) (1)
Criticality in the duration of quasistationary state. (2021) (1)
Criticality of the three-state chiral clock model: a renormalisation group study (1990) (1)
A majority rule model — New finite size scaling (1983) (1)
Single quantum oscillator with an | x | ν -type potential: Specific heat (1984) (1)
Critical behaviour of the discrete n-vector model in a planar self-dual lattice: a renormalization group approach (1991) (1)
Influence of long-range forces in isotropic two-dimensional magnetism (1978) (1)
On the Extensivity of the Entropy S_q, the q-Generalized Central Limit Theorem and the q-Triplet(COMPLEXITY AND NONEXTENSIVITY:NEW TRENDS IN STATISTICAL MECHANICS) (2006) (1)
Towards a large deviation theory for statistical-mechanical complex systems (2011) (1)
Electrostatic field in a pseudo-cubic ionic structure. Application to all BaTio3 structure-types (1971) (1)
Edge of chaos of logistic-like maps: Sensitivity to the initial conditions and relaxation (2002) (1)
v1.1.2 Generative modeling of city-size scaling laws, 250 BCE - 2005: Embedded co-evolution in the theory of long-term geopolitical dynamics ∗ (2006) (1)
A new family of fuzzy operators and its use in the break-collapse method (1999) (1)
Entropy Optimization, Generalized Logarithms, and Duality Relations (2022) (1)
ENTROPY, A UNIFYING CONCEPT: FROM PHYSICS TO COGNITIVE PSYCHOLOGY (2010) (1)
Entropic extensivity and large deviations in the presence of strong correlations (2021) (1)
Phase diagram of a quenched bond-diluted double-bulk Potts ferromagnet (1989) (1)
Comment on ``Proposed central limit behavior in deterministic dynamical systems'' (2009) (1)
Critical surface of the quenched bond-diluted cubic model in self-dual lattice: Renormalization group approach (1993) (1)
Network model for feedback circuits (2005) (1)
Reply to Pessoa, P.; Arderucio Costa, B. Comment on “Tsallis, C. Black Hole Entropy: A Closer Look. Entropy 2020, 22, 17” (2021) (1)
J un 2 00 6 q-GENERALIZATION OF SYMMETRIC α-STABLE DISTRIBUTIONS . PART I (2006) (0)
N ov 2 00 1 Negative specific heat in a Lennard-Jones-like gas with long-range interactions (2001) (0)
A generative model for feedback networks - A Natasa Kejzar presentation, Applied Statistics conference, 2005 (2005) (0)
Learning with Boltzmann–Gibbs Statistical Mechanics (2009) (0)
A closer look at coupled logistic maps at the edge of chaos (2015) (0)
A pr 2 01 4 Comment on “ Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data ” by Pressé et al (2014) (0)
Subject Index Vol. 1, 2003 (2004) (0)
Role of dimensionality in preferential attachment growth model with random fitness (2017) (0)
Effective-Field Treatment of an Anisotropic Ising Ferromagnet (1983) (0)
Ju l 2 00 7 epl draft Nonergodicity and Central Limit Behavior in Long-range Hamiltonians (2007) (0)
Time evolution of nonadditive entropies: The logistic map (2022) (0)
Law of large numbers and q-Gaussian limiting distributions with compact support ( q < 1 ) (2014) (0)
Spectrum energy multifractality and equilibrium thermodynamics (1999) (0)
Final Comments and Perspectives (2009) (0)
Stochastic Dynamical Foundations of~Nonextensive Statistical Mechanics (2009) (0)
Connecting complex networks to nonadditive entropies (2021) (0)
Comment on `Spatiotemporal intermittency on the sandpile' (1992) (0)
Comparative study of the heavy-quark dynamics with the Fokker-Planck Equation and the Plastino-Plastino Equation (2023) (0)
Comment on “Pricing of financial derivatives based on the Tsallis statistical theory” by Zhao, Pan, Yue and Zhang (2021) (0)
Gap Road: Main Properties (1988) (0)
Comment on “ Negative Heat Capacity for a Cluster of 147 Sodium Atoms ” (2001) (0)
Anomalies in a Lennard-Jones-like gas with long-range interactions (2001) (0)
Feedback Circuits in Evolving Networks : Micro-Macro Linkages for Biases in Attachment , Routing and Distance Decay (2004) (0)
1 2 M ay 2 00 0 Generalization of the Kolmogorov-Sinai entropy : Logistic-and periodic-like dissipative maps at the chaos threshold (2022) (0)
Finite-size scaling of quasi-stationary-state temperature. (2022) (0)
Thermal behaviour of the ESR relaxation time in slightly dirty superconductors (1979) (0)
Front Matter for Volume 965 (2007) (0)
Generalizing Nonextensive Statistical Mechanics (2009) (0)
Comment on "Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data " by Press\'e et al (2014) (0)
Se p 20 01 Anomalies in a Lennard-Jones-like gas with long-range interactions (2008) (0)
Simple and multiple scattering in disordered one-dimensional media: Renormalisation group approach (1985) (0)
Thermodynamically consistent entropic late-time cosmological acceleration (2022) (0)
The Nonadditive Entropy Sq: A Door Open to the Nonuniversality of the Mathematical Expression of the Clausius Thermodynamic Entropy in Terms of the Probabilities of the Microscopic Configurations (2011) (0)
NUMERICAL STUDY OF A GENERALIZED DOMANY-KINZEL PROBABILISTIC ONE-DIMENSIONAL CELLULAR AUTOMATON (1991) (0)
Comment on "A Kac-potential treatment of nonintegrable interactions" by Vollmayr-Lee and Luijten (2000) (0)
SKIN EFFECT IN CONDUCTING FRACTALS (1985) (0)
A pr 2 00 6 Long-range memory elementary 1 D cellular automata : Dynamics and nonextensivity (2020) (0)
Thermodynamically consistent entropic inflation including subdominant contribution (2022) (0)
Creativity: The moment between fascination and knowledge (2012) (0)
CELLULAR-AUTOMATON-CONTROLLED LOGISTIC MAP: AN UNUSUAL TYPE OF NOISE (1992) (0)
Ising chain: Thermal conductivity and first-principle validation of Fourier law (2023) (0)
Generalization of the possible algebraic basis of q-triplets (2017) (0)
Probabilistic Models with Nonlocal Correlations: Numerical Evidence of Q-Large Deviation Theory (2022) (0)
Senses along Which the Entropy Sq Is Unique (2023) (0)
A pr 2 00 2 Metastability , negative specific heat and weak mixing in classical long-range many-rotator system (2018) (0)
Conjecture on the critical frontier of the ferromagnetic Potts model on planar lattices (1980) (0)
Entanglement can preserve the compact nature of the phase-space occupancy (2017) (0)
Ju n 19 99 Functions of linear operators : Parameter differentiation (1999) (0)
Nonextensive Footprints in Dissipative and Conservative Dynamical Systems (2023) (0)
Physics of Biological Oscillators: Outlook (2021) (0)
Relativistic gas: Lorentz-invariant distribution for the velocities. (2022) (0)
A ug 2 00 1 Nonstandard mixing in the standard map (2001) (0)
Ising spin glass on a D = 3 hierarchical lattice: Effects of tailed coupling distributions (1998) (0)
J an 2 01 9 Scaling properties of d-dimensional complex networks (2019) (0)
Retirement of Prof. H. Eugene Stanley as Main Editor of Physica A/Elsevier (2020) (0)
First-principle validation of Fourier’s law in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e715" altimg="si17.svg"><mml:mrow><mml:mi>d</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml (2023) (0)
Anisotropy, magnetic field, and stress influences on the phase transitions of spin‐flop‐type antiferromagnets (1984) (0)
Se p 20 01 Nonstandard mixing in the standard map (2001) (0)
Influence of Bond Dilution on the Free Surface and Interface Potts Ferromagnetism (1988) (0)
Medical Applications of Nonadditive Entropies (2023) (0)
2 8 M ar 2 00 2 Nonstandard entropy production in the standard map (2002) (0)
Remark on the Second Principle of Thermodynamics (2000) (0)
Extensivity of the nonadditive entropy Sq in Fermionic and Bosonic systems (2006) (0)
Spin Wave Specific Heat in Quasiperiodic (2008) (0)
Thermodynamical and Nonthermodynamical Applications (2009) (0)
Boltzmann-Gibbs thermal equilibrium distribution descends from Newton law: A computational evidence (2004) (0)
Contribution of the central peak to the ultrasonic attenuation in structural phase transitions (1975) (0)
Contents Vol. 1, 2003 (2004) (0)
Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics (2009) (0)
Fully anisotropic triangular lattice quenched bond-random potts ferromagnet: Almost exact critical frontier (1983) (0)
Cellular Automata and Spread of Damage: General Consideration and a Recent Illustration (1993) (0)
Back Matter for Volume 965 (2007) (0)
Free-energy formalism for inhomogeneous nonlinear Fokker-Planck equations (2017) (0)
Paradoxical probabilistic behavior for strongly correlated many-body classical systems (2015) (0)
1 O ct 2 01 5 Dissipative Effects in Nonlinear Klein-Gordon Dynamics (0)
Abstracts from the CECAM workshop on computer simulations of cellular automata (1989) (0)
From Nonlinear Statistical Mechanics to Nonlinear Quantum Mechanics – Concepts and Applications (2014) (0)
Acoustic Emissions in Rock Deformation and Failure: New Insights from Q-Statistical Analysis (2023) (0)
Some thoughts on theoretical physics Constantino Tsallis (2004) (0)
q-Statistics on symmetric generalized binomial distributions (2014) (0)
News and Views: About Complexity and Why to Care (2013) (0)
Nonadditive entropies Generalising Boltzmann’s approach to thermodynamics (2022) (0)
Neural complexity -- Statistical-mechanical approach of human electroencephalograms (2023) (0)
D ec 2 01 0 Limit distribution in the q-CLT for q ≥ 1 can not have a compact support (2018) (0)
Black hole thermodynamical entropy (2013) (0)
Comment on "Incomplete Equilibrium in Long-Range Interacting Systems" by F. Baldovin and E. Orlandini (2006) (0)
Publisher's Note: “A dimension scale-invariant probabilistic model based on Leibniz-like pyramids” [J. Math. Phys. 53, 023302 (2012)] (2012) (0)
Area-law-like systems with entangled states can preserve ergodicity (2020) (0)
REMARKS ON THE NONUNIVERSALITY OF BOLTZMANN-GIBBS STATISTICAL MECHANICS (2002) (0)
LIKE BEAUTY, COMPLEXITY IS HARD TO DEFINE (2017) (0)
On the foundations of statistical mechanics (2017) (0)
Limit distribution in the $q$-CLT for $q \ge 1$ can not have a compact support (2010) (0)
Spin‐Peierls instability in the quasi d=1 magnetostrictive xy model (invited) (1982) (0)

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