Giovanni Gallavotti

Giovanni Gallavotti's AcademicInfluence.com Rankings

Giovanni Gallavotti

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According to Wikipedia, Giovanni Gallavotti is an Italian mathematical physicist, born in Naples on 29 December 1941. He is the recipient of the "Premio Nazionale Presidente della Repubblica", presso la Classe di Scienze Naturali dell'Accademia Nazionale dei Lincei, 18 June 1997, and the Boltzmann Medal awarded by IUPAP- International Union of Pure and Applied Physics

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Giovanni Gallavotti'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

Dynamical Ensembles in Nonequilibrium Statistical Mechanics. (1994) (1252)
Nonequilibrium Thermodynamics (2003) (529)
Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis. (1996) (215)
Drift and diffusion in phase space (1994) (210)
The Fermi-Pasta-Ulam problem : a status report (2008) (208)
Renormalization theory and ultraviolet stability for scalar fields via renormalization group methods (1985) (202)
Statistical mechanics of lattice systems (1967) (188)
Perturbation Theory (2007) (184)
Statistical Mechanics: A Short Treatise (1999) (174)
The phase separation line in the two-dimensional Ising model (1972) (170)
Billiards and Bernoulli schemes (1974) (170)
Stability of motions near resonances in quasi-integrable Hamiltonian systems (1986) (159)
Twistless KAM tori (1993) (156)
Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem (1995) (155)
Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems (1990) (149)
TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW (1993) (145)
Aspects of Ergodic, Qualitative and Statistical Theory of Motion (2004) (122)
The elements of mechanics (1983) (113)
Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the fermi surface (1994) (105)
Chaotic principle: an experimental test (1996) (98)
Ergodicity, ensembles, irreversibility in Boltzmann and beyond (1994) (98)
The Fermi-Pasta-Ulam Problem (2008) (96)
Phase Transitions in Binary Lattice Gases (1971) (95)
Nonequilibrium and Irreversibility (2013) (92)
Correlation functions of a lattice system (1968) (91)
Foundations of Fluid Dynamics (2002) (90)
Ultraviolet stability in Euclidean scalar field theories (1980) (85)
Smooth prime integrals for quasi-integrable Hamiltonian systems (1982) (83)
Some probabilistic techniques in field theory (1978) (83)
Divergences and the Approach to Equilibrium in the Lorentz and the Wind-Tree Models (1969) (80)
Note on Two Theorems in Nonequilibrium Statistical Mechanics (1999) (79)
Chaotic dynamics, fluctuations, nonequilibrium ensembles. (1997) (76)
Renormalization-group approach to the theory of the Fermi surface. (1990) (72)
Instabilities and phase transitions in the ising model. A review (1972) (72)
On the classical KMS boundary condition (1975) (71)
A local fluctuation theorem (1998) (70)
Rigorous Theory Of The Boltzmann Equation In The Lorentz Gas (1972) (66)
Perturbations of geodesic flows on surface of constant negative curvature and their mixing properties (1984) (63)
Some problems connected with the description of coexisting phases at low temperatures in the Ising model (1973) (62)
Reversible Anosov diffeomorphisms and large deviations (1995) (59)
Equilibrium States of the Ising Model in the Two-Phase Region (1972) (58)
Dynamical ensembles equivalence in fluid mechanics (1996) (57)
On the massive sine-Gordon equation in the first few regions of collapse (1982) (55)
Hyperbolic Low-Dimensional Invariant Tori¶and Summations of Divergent Series (2001) (54)
Analyticity properties of a lattice gas (1967) (50)
Lyapunov spectra and nonequilibrium ensembles equivalence in 2D fluid mechanics (2002) (48)
Thermalization of a Magnetic Impurity in the Isotropic XY Model (1970) (47)
Some results for the exponential interaction in two or more dimensions (1979) (45)
Degenerate Elliptic Resonances (2004) (44)
Perturbation Theory for Classical Hamiltonian Systems (1983) (42)
New Methods in Nonequilibrium Gases and Fluids (1996) (42)
Stability and equilibrium states of infinite classical systems (1976) (41)
Entropy, thermostats, and chaotic hypothesis. (2006) (41)
Elliptic equations and Gaussian processes (1980) (40)
Billiards correlation functions (1994) (40)
Absence of Phase Transitions in Hard‐Core One‐Dimensional Systems with Long‐Range Interactions (1970) (40)
Renormalization group and the Fermi surface in the Luttinger model. (1992) (40)
Equivalence of Non-equilibrium Ensembles and Representation of Friction in Turbulent Flows: The Lorenz 96 Model (2014) (39)
Ising model and Bernoulli schemes in one dimension (1973) (39)
Majorant series convergence for twistless KAM tori (1995) (39)
Entropy production and thermodynamics of nonequilibrium stationary states: a point of view. (2004) (38)
Nonlinear Evolution and Chaotic Phenomena (1988) (37)
Classical KMS condition and Tomita-Takesaki theory (1976) (36)
Large Deviations in Rarefied Quantum Gases (2001) (36)
Field Theory and KAM tori (1993) (35)
Lectures on the billiard (1975) (34)
Equilibrium Statistical Mechanics (2005) (34)
A rigorous implementation of the Jeans - Landau - Teller approximation for adiabatic invariants (1995) (33)
A criterion of integrability for perturbed nonresonant harmonic oscillators. “Wick ordering” of the perturbations in classical mechanics and invariance of the frequency spectrum (1982) (33)
Surface tension in the two-dimensional Ising model (1973) (32)
Separatrix Splitting for Systems with Three Time Scales (1999) (32)
The “screening phase transitions” in the two-dimensional Coulomb gas (1985) (32)
Surface tension in the Ising model (1972) (32)
An Introduction to Chaos in Nonequilibrium Statistical Mechanics, by Jay R. Dorfman (2001) (32)
On the quantization of the electromagnetic field (1966) (31)
On the Calculation of an integral (1973) (30)
The Lavoisier law and the critical point (1975) (29)
Dynamics of a Local Perturbation in the X-Y Model II—Excitations† (1972) (29)
Equivalence of dynamical ensembles and Navier-Stokes equations (1996) (29)
Block-spin distributions for short-range attractive ising models (1975) (28)
Breakdown and regeneration of time reversal symmetry in nonequilibrium statistical mechanics (1998) (28)
Fluctuation patterns and conditional reversibility in nonequilibrium systems (1997) (27)
Dynamics of a Local Perturbation in the XY Model. I—Approach to Equilibrium (1971) (27)
Nonequilibrium Statistical Mechanics (Stationary): Overview (2006) (27)
Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scale systems (1998) (25)
Arnold‘s Diffusion in Isochronous Systems (1998) (25)
Quasi-integrable mechanical systems (2004) (25)
Lindstedt series, ultraviolet divergences and Moser's theorem (1995) (25)
Fractional Lindstedt series (2005) (22)
Nonequilibrium stationary states and entropy. (2003) (22)
Thermodynamic Limit of Time‐Dependent Correlation Functions for One‐Dimensional Systems (1970) (21)
Heat and fluctuations from order to chaos (2007) (21)
Entropy production in nonequilibrium thermodynamics: a review (2003) (21)
A Proof of the Griffiths Inequalities for the X‐Y Model (1971) (20)
Melnikov's approximation dominance. Some examples (1998) (20)
Markov processes, Bernoulli schemes, and Ising model (1973) (19)
On the mechanical equilibrium equations for classical systems (1968) (19)
Chaotic principle: Some applications to developed turbulence (1995) (19)
Invariant Tori: A Field theoretic point of view on Eliasson's work (1993) (19)
Block-spins interactions in the Ising model (1974) (18)
Nonequilibrium in statistical and fluid mechanics. Ensembles and their equivalence. Entropy driven intermittency (2000) (17)
Nonequilibrium and Fluctuation Relation (2019) (17)
$\Phi ^4$ field theory in dimension $4$ : a modern introduction to its unsolved problems (1984) (17)
The hierarchical model and the renormalization group (1975) (16)
Topics on chaotic dynamics (1994) (16)
Absence of phase transitions in one-dimensional systems with hard cores (1968) (16)
Non-equilibrium Statistical Mechanics of Turbulence (2015) (16)
A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems (1999) (16)
Renormalization theory in four dimensional scalar fields (II) (1985) (16)
Analyticity Properties of the Anisotropic Heisenberg Model (1968) (16)
Chaotic hypothesis (2008) (16)
Borel Summability and Lindstedt Series (2006) (15)
Nonequilibrium, thermostats, and thermodynamic limit (2009) (14)
A comment on 44 Euclidean field theory (1983) (14)
Quasi periodic motions from Hipparchus to Kolmogorov (1999) (14)
Fluctuation Relation beyond Linear Response Theory (2005) (14)
Stationary nonequilibrium statistical mechanics (2005) (13)
Reversible Anosov maps and large deviations (1995) (13)
An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systems (1999) (13)
Existence and uniqueness of equilibrium states for some spin and continuum systems (1973) (13)
Quasi Linear Flows on Tori:¶Regularity of their Linearization (1996) (13)
Fluctuation relation, fluctuation theorem, thermostats and entropy creation in nonequilibrium statistical physics (2006) (13)
Ergodicity: a historical perspective. Equilibrium and Nonequilibrium (2016) (13)
Perturbation theory and non-renormalizable scalar fields (1986) (13)
Classical Mechanics and Renormalization Group (1985) (12)
On the ultraviolet stability in statistical mechanics and field theory (1979) (12)
Irreversibility time scale. (2006) (12)
Counting Phase Space Cells in Statistical Mechanics (2001) (11)
Boundary Dissipation in a Driven Hard Disk System (2006) (11)
Equivalence of nonequilibrium ensembles in turbulence models. (2018) (11)
Pendulum: separatrix splitting (1997) (11)
On the cluster property above the critical temperature in lattice gases (1969) (11)
Chaotic Hypothesis and Universal Large Deviations Properties (1998) (11)
On thermostats: isokinetic or Hamiltonian? Finite or infinite? (2008) (11)
The exponential interaction in Rn (1979) (11)
A variational principle for the equilibrium of hard sphere systems (1968) (10)
The phase separation line in the two-dimensional Ising model and its relationship with the nonfree-random-walk problem (1972) (10)
Hamilton--Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systems (1997) (10)
Fluctuation theorem revisited (2004) (10)
Comments on "On the application of the Gallavotti--Cohen fluctuation relation to thermostatted steady states near equilibrium" (2004) (10)
Erratum to: Drift and diffusion in phase space (1998) (10)
Some remarks on Ising spin systems (1973) (10)
Renormalization group in Statistical Mechanics and Mechanics: gauge symmetries and vanishing beta functions (2000) (10)
Fluctuations relation and external thermostats: an application to granular materials (2006) (9)
Pendulum, elliptic functions, and relative cohomology classes (2010) (9)
Microscopic chaos and macroscopic entropy in fluids (2006) (8)
On homoclinic splitting problems (2000) (8)
Thermostats, Chaos and Onsager Reciprocity (2008) (8)
Boundary Conditions for the Heat Equation in a Several-Dimensional Region (1972) (8)
Non recursive proof of the KAM theorem (1993) (8)
1 2 D ec 2 00 3 Note on nonequilibrium stationary states and entropy (8)
Statistical mechanics of the electron-phonon system (1970) (8)
Introduction to FPU (2007) (8)
One dimensional lattice gases with rapidly decreasing interaction (1970) (7)
Thermodynamic limit for isokinetic thermostats (2009) (7)
Disorder in the 1D spinless Holstein model (1995) (7)
Entropy and Complexity (2004) (7)
Boltzmann's Legacy (2007) (7)
Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle (2012) (6)
Frictionless Thermostats and Intensive Constants of Motion (2009) (6)
Resonances within chaos. (2011) (6)
Reversible Viscosity and Navier–Stokes Fluids (2017) (6)
Kondo Effect in a Fermionic Hierarchical Model (2015) (6)
Entropy, nonequilibrium, chaos and infinitesimals (2006) (6)
Fluctuation Theorem and Chaos (2008) (5)
Classical Statistical Mechanics (1999) (5)
On the analyticity of the pressure in the hierarchical dipole gas (1989) (5)
Boundary conditions and correlation functions in the ν-dimensional Ising model at low temperature (1971) (5)
High‐Temperature Properties of Random Spin Systems (1970) (5)
Thermodynamic limit of isoenergetic and Hamiltonian Thermostats (2009) (5)
Finite thermostats in classical and quantum nonequilibrium (2018) (5)
Navier-Stokes equation: irreversibility turbulence and ensembles equivalence (2019) (5)
Aspects of Lagrange’s Mechanics and their legacy (2013) (5)
Nonequilibrium stationary state for a damped rotator (2013) (4)
Ensembles, turbulence and fluctuation theorem (2020) (4)
Surface tension in the Ising model (1971) (4)
Reminiscences on science at I.H.E.S. A problem on homoclinic theory and a brief review (1998) (4)
The Luttinger Model: Its Role in the RG-Theory of One Dimensional Many Body Fermi Systems (2000) (4)
Lindstedt series and Kolmogorov theorem (1995) (4)
The Stability Problem in ф4 Scalar Field Theories (1980) (3)
A comment to the talk by E. Seiler (1978) (3)
Classical KMS condition and Tomita-Takesaki theory (1976) (3)
Fast Arnold's diffusion in isochronous systems (1997) (3)
Lindstedt series and Hamilton--Jacobi equation for hyperbolic tori in three time scales problems (1998) (3)
Fluctuations and entropy driven space-time intermittency in Navier-Stokes fluids (2000) (3)
Probabilistic aspects of critical fluctuations (1972) (3)
Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing (2021) (3)
The Accademia dei Lincei to E. Fermi on the occasion of the 110th anniversary of his birthday (2011) (3)
Conservation laws in the hierarchical model (1974) (3)
A Theorem on Ellipses, an Integrable System and a Theorem of Boltzmann (2020) (3)
Renormalization Group and divergences (2014) (2)
The integrability problem and the Hamilton-Jacobi equation: A review (1984) (2)
Some problems connected with the phase separation in the Ising model at low temperature (1971) (2)
Classical Mechanics (2005) (2)
CKN Theory of Singularities of Weak Solutions of the Navier-Stokes Equations (2005) (2)
Exact Renormalization Group (2003) (2)
Methods in the theory of quasi periodic motions (1997) (2)
SRB distribution for Anosov maps (2005) (2)
Comments on Ruelle’s intermittency theory (2015) (2)
International Conference on Dynamical Systems in Mathematical Physics, Rennes, 1975, Sept. 14-21 (1976) (2)
Non-equilibrium Ensembles for the 3D Navier-Stokes Equations (2021) (2)
Stability near resonances in classical mechanics (1986) (2)
Dense sums (2019) (1)
Thermodynamic Limit and Stability (1999) (1)
About David Ruelle, After His 80th Birthday (2016) (1)
Lucio Russo: probability theory and current interests (2016) (1)
Some Problems on the Hamilton-Jacobi Equation (1987) (1)
Coexistence of Phases (1999) (1)
Ergodic and chaotic hypotheses: nonequilibrium ensembles in statistical mechanics and turbulence (1999) (1)
Fluctuation theorem (2008) (1)
Pendulum Integration and Elliptic Functions (2008) (1)
Exactly Soluble Models (1999) (1)
Random Matrices and Lyapunov Coefficients Regularity (2013) (1)
Foreword to the first edition (2004) (1)
The Beta-Function Method for Resummations in Field Theory (1990) (1)
Analytical Theories and Mathematical Aspects (2002) (1)
Renormalization Group (2020) (1)
Approximate symmetries and their spontaneous breakdown (1975) (1)
Special Problems in Chaotic Dynamics (2004) (1)
QUASI PARTICLES AND SCALING PROPERTIES AT THE FERMI SURFACE (2011) (1)
Kondo Effect in the Hierarchical s − d Model (2015) (1)
Quantum Nonequilibrium and Entropy creation (2007) (1)
One Dimensional Anomaly of the Fermi Surface (1994) (1)
Quasiperiodic Hamiltonian motions, scale invariance, harmonic oscillators (2018) (0)
Some Special Topics in KAM Theory (2004) (0)
About David Ruelle, After His 80th Birthday (2016) (0)
Atomism, Boltzmann and nonequilibrium statistical mechanics (1997) (0)
Quasi linear ows on tori : regularityof their linearizationF (1998) (0)
Phenomenic Reality and Models (1983) (0)
IL NUOVO CIMENTO VOL . 25 B , N . 2 11 Febbraio 1975 The Lavoisier Law ( 1 ) and the Critical Point (2007) (0)
Constructive Quantum Field Theory (2005) (0)
Book review (1992) (0)
General Qualitative Properties (2004) (0)
Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on Physica D (1998) (0)
Probabilistic aspects of critical phenomena (2012) (0)
Discrete Phase Space (2014) (0)
Statistical Properties of Turbulence (2002) (0)
The Erwin Schrr Odinger International Institute for Mathematical Physics Ergodicity, Ensembles, Irreversibility in Boltzmann and Beyond (2009) (0)
Resonances and chaos 1 Resonances within Chaos (2011) (0)
1 2 Se p 20 08 Thermostats , chaos and Onsager reciprocity (2009) (0)
Renormalization Group and divergences (2014) (0)
Analyticity, Singularity and Phase Transitions (2004) (0)
Equipartition and Critique (1999) (0)
1 : Degenerate elliptic resonances Degenerate elliptic resonances (2009) (0)
0 51 00 14 v 1 4 O ct 2 00 5 Constructive Quantum Field Theory (2008) (0)
Navier-Stokes and equivalence conjectures (2022) (0)
Introduction 1 Nonequilibrium , thermostats and thermodynamic limit (2009) (0)
Equivalent Ensembles, Turbulence and Fluctuation Theorem (2020) (0)
Introductory Article: Classical Mechanics (2006) (0)
Random Matrices and Lyapunov Coefficients Regularity (2015) (0)
I : Thermostats 1 Thermodynamic limit of isoenergetic and Hamiltonian Thermostats (2009) (0)
Aspects of Lagrange’s Mechanics and their legacy (2013) (0)
Abstracts of the workshop on statistical mechanics, dynamical systems, and turbulence (1983) (0)
2 1 M ay 2 00 4 1 : Degenerate elliptic resonances Degenerate elliptic resonances (2004) (0)
Stability Properties for Dissipative and Conservative Systems (1983) (0)
1 : Fractional Lindstedt series Fractional Lindstedt series (2005) (0)
Incipient Turbulence and Chaos (2002) (0)
Reminiscences on science at IHÉS. A problem on homoclinic theory and a brief review (2019) (0)
An eective model for graphene with long range interactions (2009) (0)
Continua and Generalities About Their Equations (2002) (0)
Kondo Effect in a Fermionic Hierarchical Model (2015) (0)
Drift and Diffusion in Phase Space. An Application to Celestial Mechanics (1993) (0)
Entropy driven intermitency (2000) (0)
BERNOULLI SCHEMES AND THEIR ISOMORPHISMS (2009) (0)
Chaotic principle : an experimental testF (1996) (0)
Ensembles, turbulence and fluctuation theorem (2020) (0)
The Theory of Motion from Hellenism to the 20th Century (2012) (0)
Equivalence of Non-equilibrium Ensembles and Representation of Friction in Turbulent Flows: The Lorenz 96 Model (2014) (0)
ANNALES DE L'I. H. P., SECTION A (1984) (0)
Lindstedt series , ultraviolet divergencesand (1998) (0)
General Properties of Gibbs and SRB Distributions (2004) (0)
Ergodicity: a historical perspective. Equilibrium and Nonequilibrium (2016) (0)
Finite thermostats in classical and quantum nonequilibrium (2018) (0)
Coarse Graining and Nonequilibrium (1999) (0)
Special Mechanical Systems (1983) (0)
An effective model for graphene with long range interactions (2009) (0)
A pr 1 99 6 Chaotic principle : an experimental test (1997) (0)
Kondo Effect in the Hierarchical $$s-d$$s-d Model (2015) (0)
Resonances and summation of divergent series (0)
Qualitative Aspects of One-Dimensional Motion (1983) (0)
Ergodicity and Ergodic Points (2004) (0)
O ct 2 00 5 Stationary nonequilibrium statistical mechanics (2005) (0)
Introduction to the Special Issue in Honor of Joel Lebowitz (2020) (0)
On the ϕ{ 4 / 4 }-problem (1986) (0)
Reversibility, irreversibility, friction and nonequilibrium ensembles in N–S equations (2022) (0)
H��egh-Krohn R.: The exponential interaction (1979) (0)
Classical mechanics and the quantum revolution in Fermi’s early works (2004) (0)
Random chaos 1 A fluctuation theorem in a random environment (2009) (0)
Introductory Article: Equilibrium Statistical Mechanics (2006) (0)
Special Ergodic Theory Problems in Nonchaotic Dynamics (2004) (0)
Errata : “Approximate symmetries and their spontaneous breakdown” (1976) (0)
Systems with Many Degrees of Freedom. Theory of the Constraints. Analytical Mechanics (1983) (0)
An experimental test of the lo al u tuation theoremin hains of weakly intera (1999) (0)

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