Jean-Pierre Eckmann | Academic Influence

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Jean-Pierre Eckmann

Mathematics

#1543

World Rank

#2513

Historical Rank

Mathematical Physics

#25

World Rank

#31

Historical Rank

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Mathematics

Jean-Pierre Eckmann's Degrees

PhD Physics University of Geneva

Why Is Jean-Pierre Eckmann Influential?

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According to Wikipedia, Jean-Pierre Eckmann is a Swiss mathematical physicist in the department of theoretical physics at the University of Geneva and a pioneer of chaos theory and social network analysis. Eckmann is the son of mathematician Beno Eckmann. He completed his PhD in 1970 under the supervision of Marcel Guenin at the University of Geneva. He has been a member of the Academia Europaea since 2001. In 2012, he became a fellow of the American Mathematical Society. He is also a member of the Göttingen Academy of Sciences and Humanities.

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Jean-Pierre Eckmann'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

Ergodic theory of chaos and strange attractors (1985) (4550)
Recurrence Plots of Dynamical Systems (1987) (2939)
Iterated maps on the interval as dynamical systems (1980) (1705)
Roads to turbulence in dissipative dynamical systems (1981) (690)
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems (1992) (626)
Entropy of dialogues creates coherent structures in e-mail traffic. (2004) (414)
The topological relationship between the large-scale attributes and local interaction patterns of complex networks (2004) (304)
Curvature of co-links uncovers hidden thematic layers in the World Wide Web (2001) (303)
Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures (1998) (286)
Instabilities and fronts in extended systems (1990) (247)
Universal properties of maps on an interval (1980) (191)
A global attracting set for the Kuramoto-Sivashinsky equation (1993) (167)
Decay properties and borel summability for the Schwinger functions inP(Φ)2 theories (1975) (165)
Positive Liapunov exponents and absolute continuity for maps of the interval (1983) (159)
Non-Equilibrium Statistical Mechanics¶of Strongly Anharmonic Chains of Oscillators (1999) (152)
Entropy Production in Nonlinear, Thermally Driven Hamiltonian Systems (1998) (147)
Period doubling bifurcations for families of maps on ℝn (1981) (139)
Uniqueness of the Invariant Measure¶for a Stochastic PDE Driven by Degenerate Noise (2000) (114)
Spectral Properties of Hypoelliptic Operators (2002) (113)
A computer-assisted proof of universality for area-preserving maps (1984) (112)
The physics of living neural networks (2007) (110)
A renormalization group analysis of the hierarchical model in statistical mechanics (1978) (110)
The time dependent amplitude equation for the Swift-Hohenberg problem (1990) (104)
Using Curvature and Markov Clustering in Graphs for Lexical Acquisition and Word Sense Discrimination (2004) (89)
Analyticity for the Kuramoto-Sivashinsky equation (1993) (83)
Imitation and contrarian behaviour: hyperbolic bubbles, crashes and chaos (2001) (80)
A complete proof of the Feigenbaum conjectures (1987) (78)
Computer Methods and Borel Summability Applied to Feigenbaum's Equation (1985) (77)
Leader neurons in population bursts of 2D living neural networks (2008) (76)
Nonequilibrium Energy Profiles for a Class of 1-D Models (2005) (74)
Hierarchical structures induce long-range dynamical correlations in written texts. (2006) (72)
Concepts and Results in Chaotic Dynamics: A Short Course (2006) (66)
Space-time behaviour in problems of hydrodynamic type: a case study (1992) (65)
Propagating fronts and the center manifold theorem (1991) (64)
Intermittency in the presence of noise (1981) (62)
Coarsening by Ginzburg–Landau Dynamics (1997) (56)
Spectral duality for planar billiards (1994) (55)
On the abundance of aperiodic behaviour for maps on the interval (1980) (55)
Desert ants achieve reliable recruitment across noisy interactions (2013) (55)
Resonances for intermittent systems (1989) (54)
Q-ANALYSIS OF FRACTAL SETS (1997) (54)
An application of Tomita's theory of modular Hilbert algebras: Duality for free Bose fields (1973) (53)
The non-linear stability of front solutions for parabolic partial differential equations (1994) (52)
Renormalisation groups with periodic and aperiodic orbits (1983) (50)
On universality for area-preserving maps of the plane (1981) (49)
Computing the topological entropy of maps (1983) (48)
Time-ordered products and Schwinger functions (1979) (46)
Porosities and dimensions of measures (1999) (46)
Ergodicity and slowing down in glass-forming systems with soft potentials: no finite-temperature singularities. (2008) (45)
Remarks on bootstrap percolation in metric networks (2009) (45)
Extensive Properties of the Complex Ginzburg–Landau Equation (1998) (45)
Hydrodynamic Lyapunov Modes in Translation-Invariant Systems (1999) (45)
Lyapunov Modes in Hard-Disk Systems (2004) (43)
Temperature profiles in Hamiltonian heat conduction (2004) (41)
Large deviations theory for Markov jump models of chemical reaction networks (2017) (38)
Thermal rectification in billiardlike systems. (2006) (37)
The Colored Hofstadter Butterfly for the Honeycomb Lattice (2014) (36)
On the bound state in weakly coupled λ(ϕ6−ϕ4)2 (1976) (36)
Existence of a fixed point of the doubling transformation for area-preserving maps of the plane (1982) (34)
The existence of dendritic fronts (1986) (34)
On the existence of fixed points of the composition operator for circle maps (1986) (34)
Physical model of the genotype-to-phenotype map of proteins (2016) (34)
A Model of Heat Conduction (2008) (33)
Non-equilibrium steady state and subgeometric ergodicity for a chain of three coupled rotors (2014) (33)
A model with persistent vacuum (1970) (33)
Liapunov spectra for infinite chains of nonlinear oscillators (1988) (32)
Study of the iterations of a mapping associated to a spin glass model (1984) (32)
Asymptotic perturbation expansion for the S-matrix and the definition of time ordered functions in relativistic quantum field models (1976) (31)
Invariant Measures for Stochastic PDE's in Unbounded Domains (2000) (31)
Geometric Stability Analysis for Periodic Solutions of the Swift-Hohenberg Equation (1996) (31)
The Maslov-WKB method for the (an-)harmonic oscillator (1976) (30)
Zeta functions with Dirichlet and Neumann boundary conditions for exterior domains (1996) (29)
Addendum: Ergodic theory of chaos and strange attractors (1985) (29)
The ɛ-expansion for the Hierarchical Model (1977) (28)
Solutions without phase-slip for the Ginsburg-Landau equation (1992) (27)
Borel summability of the mass and theS-matrix in ϕ4 models (1979) (27)
Non-linear Stability of Modulated Fronts¶for the Swift–Hohenberg Equation (2000) (27)
Transport properties of the Lorentz gas in terms of periodic orbits (1993) (27)
Liapunov Multipliers and Decay of Correlations in Dynamical Systems (2003) (27)
Non-equilibrium steady states for networks of oscillators (2017) (26)
Quasi-free generalized K-flows (1978) (26)
Green function of correlated genes in a minimal mechanical model of protein evolution (2018) (26)
Leaders of Neuronal Cultures in a Quorum Percolation Model (2010) (26)
Non-Equilibrium Steady States for Chains of Four Rotors (2015) (25)
Remarks on stochastic resonances (1982) (25)
Bounds on the unstable eigenvalue for period doubling (1990) (25)
Diffuse repair for the Ginzburg-Landau equation (1992) (24)
The Definition and Measurement of the Topological Entropy per Unit Volume in Parabolic PDE's (1998) (24)
UNIQUENESS OF THE HAMILTONIAN AND OF THE REPRESENTATION OF THE CCR FOR THE QUARTIC BOSON INTERACTION IN THREE DIMENSIONS. (1971) (23)
Depinning of domain walls with an internal degree of freedom (2009) (23)
Universal Scaling (2014) (23)
The definition and measurement of the topological entropy per unit volume in parabolic PDEs (1999) (22)
Loops and Self-Reference in the Construction of Dictionaries (2012) (22)
Hypercontractivity for anharmonic oscillators (1974) (22)
SCENARIO FOR THE ONSET OF SPACE-TIME CHAOS (1998) (22)
Fixed points of Feigenbaum's type for the equationfp(λx)≡λf(x) (1984) (22)
The stability of modulated fronts (1987) (22)
The Number of Large Graphs with a Positive Density of Triangles (2002) (21)
Scaling of Mandelbrot sets generated by critical point preperiodicity (1985) (21)
Spectral properties and bound-state scattering for weakly coupled λP(ϕ)2 models (1977) (21)
Strange Heat Flux in (An)Harmonic Networks (2003) (20)
Diffusive repair for the Ginzburg-Landau equation (1992) (19)
Normal forms for parabolic partial differential equations (1993) (19)
Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems (2005) (18)
Front solutions for the Ginzburg-Landau equation (1993) (18)
A spin-glass model with random couplings (1984) (18)
Colloquium: Proteins: The physics of amorphous evolving matter (2019) (17)
Topological Entropy and ε-Entropy for Damped Hyperbolic Equations (1999) (17)
A spin glass with random couplings (1984) (17)
Angular projections of fractal sets (1997) (15)
Unitary equivalence of local algebras in the quasifree representation (1974) (15)
The largest Liapunov exponent for random matrices and directed polymers in a random environment (1989) (13)
Non-Equilibrium Steady States (2003) (13)
Renarks on the classical limit of quantum field theories (1977) (13)
A note on the power spectrum of the iterates of Feigenbaum's function (1981) (13)
Lyapunov Exponents: Proceedings of a Conference Held in Oberwolfach, May 28-June 2, 1990 (1991) (13)
A numerical test of Borel summability in the ϵ-expansion of the hierarchical model (1977) (13)
Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem (2000) (13)
The generation of spatio-temporal chaos in large aspect ratio hydrodynamics (1991) (12)
Controllability for chains of dynamical scatterers (2007) (11)
Energy dissipation in Hamiltonian chains of rotators (2017) (10)
A Rigorous Upper Bound on the Propagation Speed for the Swift–Hohenberg and Related Equations (2002) (10)
On the Geometry of Chemical Reaction Networks: Lyapunov Function and Large Deviations (2017) (9)
Dialog in e-Mail Traffic (2003) (9)
Superdiffusive Heat Transport in a Class of Deterministic One-dimensional Many-Particle Lorentz Gases (2008) (9)
Representations of the CCR in the (φ4)3 model: Independence of space cutoff (1972) (9)
A Software Tool for Analysis in Function Spaces (1991) (8)
Phase Slips and the Eckhaus Instability (1995) (8)
Scattering phases and density of states for exterior domains (1995) (8)
Non-Linear Stability Analysis of Higher Order Dissipative Partial Differential Equations (1998) (8)
Dual fronts propagating into an unstable state (1993) (7)
Dynamics of Triangulations (2004) (7)
Dimensional reduction in complex living systems: Where, why, and how (2021) (6)
Time decay for fermion systems with persistent vacuum (1975) (6)
Colony entropy—Allocation of goods in ant colonies (2019) (6)
Controlling General Polynomial Networks (2013) (6)
Breathers as Metastable States for the Discrete NLS equation (2017) (6)
Noise and topology in driven systems—an application to interface dynamics (2011) (6)
On the abundance of aperiodic behaviour for maps on the unit interval (1980) (6)
Trees of Nuclei and Bounds on the Number of Triangulations of the 3-Ball (2012) (6)
A Topological Glass (2007) (6)
Physical model of the sequence-to-function map of proteins (2016) (5)
Rattling and freezing in a 1D transport model (2010) (5)
Oscillations of Observables in 1-Dimensional Lattice Systems (1997) (5)
Trading codes for errors (2008) (5)
On the Fractal Dimension of the Visible Universe (2003) (4)
An algorithm for solving fermion problems (1973) (4)
Decay of Hamiltonian Breathers Under Dissipation (2019) (4)
Synchronised brood transport by ants occurs without communication (2018) (4)
Decay of correlations in a topological glass (2011) (4)
Measures Invariant under Mappings of the Unit Interval (1985) (3)
The Topology of Semantic Knowledge (2013) (3)
ON THE ABUNDANCE OF CHAOTIC BEHAVIOR IN ONE DIMENSION * (1980) (3)
Angular Projection of Fractal Sets (1997) (3)
Asymptotic Perturbation Expansion for the S-matrix in P(⌽)2 Quantum Field Theory Models (1976) (3)
Bifurcations for Maps (1980) (3)
Spatio-Temporal Chaos (1991) (3)
Typical Behavior for One Map (2009) (2)
Colony entropy - Allocation of goods in ant colonies (2019) (2)
Green function of correlated genes and the mechanical evolution of protein (2018) (2)
Liapunov exponents from time series (1995) (2)
Stationary solutions for the Swift-Hohenberg equation in non-uniform backgrounds (1991) (2)
Chaos on demand (1995) (2)
On the renormilization group for the hierarchical model (1978) (2)
The RG-transformation for the hierarchical model (1978) (2)
Broken pencils and moving rulers: After an unpublished book by Mitchell Feigenbaum (2021) (2)
On the ionization of crystals (1975) (1)
The constructive method of Loeffel (1985) (1)
Renormalization Group Analysis of Some Highly Bifurcated Families (1980) (1)
Self reference in word definitions (2011) (1)
On the computation of the Galois group over the quotient field of ℂ[λ] (1976) (1)
Imaging in reflecting spheres. (2022) (1)
Porosities and dimensions of measures satisfying the doubling condition (1999) (1)
Non-vanishing profiles for the Kuramoto–Sivashinsky equation on the infinite line (2003) (1)
Two-Dimensional Poiseuille Flow (1985) (1)
Renormalization group analysis of functional composition: A review (1984) (1)
Lyapunov Exponents for Stock Returns (2018) (1)
Proof of the marginal stability bound for the Swift-Hohenberg equation and related equations (2000) (1)
Instabilities Appearing in Effective Field theories: When and How? (2022) (1)
Higher Dimensional Systems (2009) (1)
Trees of Nuclei and Bounds on the Number of Triangulations of the 3-Ball (2013) (1)
How do oscillating fronts form (1986) (1)
Ecalle's theory of resurgent functions (1985) (1)
Spectral Duality for Planar (1995) (0)
Crossover, Part II. A) Single phase region (1978) (0)
Negative Schwarzian Derivative (2009) (0)
An Introduction to the Unpublished Book"Reflections on a Tube"by Mitchell J. Feigenbaum (2023) (0)
The detection of relativistic corrections in cosmological N-body simulations (2019) (0)
Global properties of the flow (1978) (0)
Crossover. Part 2 (1978) (0)
80 50 14 v 1 1 5 M ay 1 99 8 Non-Linear Stability Analysis of Higher Order Dissipative Partial Differential Equations (1998) (0)
pa tt-so l / 9 50 30 01 8 M ar 1 99 5 Phase Slips and the Eckhaus Instability (1995) (0)
Unraveling the Fourier Law for Hamiltonian Systems (2004) (0)
Invariant Measures in Generic Dynamical Systems (1997) (0)
On the Relative Frequency of Periodic and Aperiodic Behavior (2009) (0)
Probabilistic formulation of the problem (1978) (0)
Discussion of the thermodyamic limit (1978) (0)
A Basic Problem (2006) (0)
Theoretical particle physics at the beginning of the nineties : [selected papers], Geneva, November 9th and 10th, 1990 (1991) (0)
Unimodal Maps and Thier Itineraries (2009) (0)
Relativistic changes to particle trajectories are difficult to detect (2019) (0)
Preface Personal perspectives in nonlinear science : Looking back , looking forward (0)
The equations at N (1985) (0)
C D ] 7 A ug 2 00 3 Non-Vanishing Profiles for the Kuramoto-Sivashinsky Equation on the Infinite Line February 8 , 2008 (2008) (0)
Itineraries and Orbits (2009) (0)
15 S ep 2 00 0 Uniqueness of the Invariant Measure for a Stochastic PDE Driven by Degenerate Noise February 8 , 2008 (2008) (0)
POROSITIES AND DIMENSIONS OF (2007) (0)
The existence of a non-trivial fixed point (1978) (0)
Crossover Part II. B) Two phase region (1978) (0)
CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS (1990) (0)
Abstracts of the workshop on statistical mechanics, dynamical systems, and turbulence (1983) (0)
CHAPTER II. SMALL SOLUTIONS (1990) (0)
Other Probabilistic Results (2006) (0)
Miscellaneous short proofs (1978) (0)
Self-Referred Decision Rules and Chaos (2007) (0)
CHAPTER VI. MULTISCALE ANALYSIS (1990) (0)
A ug 1 99 9 Hydrodynamic Lyapunov Modes in Translation Invariant Systems (2000) (0)
97 06 01 2 v 1 1 0 Ju n 19 97 Coarsening by Ginzburg-Landau Dynamics (1998) (0)
Progress in Physics ( 33 ) Outreach : Can Physics Cross Boundaries ? (2013) (0)
Abundance of Aperiodic Behavior (2009) (0)
Discussion of the critical indices (1978) (0)
Instabilities Appearing in Cosmological Effective Field theories: When and How? (2022) (0)
Weak Turbulence in Deterministic Systems (1981) (0)
Mathematical Physics A Model of Heat Conduction (2008) (0)
The Calculus of Itineraries (2009) (0)
Sensitive Dependence on Initial Conditions (2009) (0)
Systematics of the Stable Periods (2009) (0)
The equations for N (1985) (0)
The Colored Hofstadter Butterfly for the Honeycomb Lattice (2014) (0)
The flow around the fixed point (1978) (0)
Abstracts from the international conference on mathematical problems from the physics of fluids (1986) (0)
A solvable model for the josephson effect An algorithm for solving fermion systems. - II (1973) (0)
Leadership in 2D living neural networks (2007) (0)
Abelian sandpiles on cylinders (2022) (0)
Computer-assisted proofs (1985) (0)
Scaling and Related Predictions (2009) (0)
Controlling General Polynomial Networks (2014) (0)
Multiscaling generated by time dependent classical field theories (1993) (0)
Fuzzy recurrence plots (2017) (0)
CHAPTER I. SETTING THE STAGE (1990) (0)
C D ] 2 D ec 2 00 4 Lyapunov Modes in Hard-Disk Systems June 19 , 2018 (2022) (0)
One-Parameter Families of Maps (2009) (0)
Decay of correlations in a topological glass y (2011) (0)
Statistics and Statistical Mechanics (2006) (0)
Revisiting the Monge Problem in the Landauer Limit (2022) (0)
Non-Equilibrium Steady States for Chains of Four Rotors (2016) (0)
A quantitative analysis of concepts and semantic structure in written language: Long range correlations in dynamics of texts (2005) (0)
General Theory of Specific Binding: Insights from a Genetic-Mechano-Chemical Protein Model (2022) (0)
CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS (1990) (0)
Mechanical function of proteins constrains sequence space to a low dimension: a simple physical model. (2017) (0)
CHAPTER VII. FRONTS (1990) (0)
On the Geometry of Chemical Reaction Networks: Lyapunov Function and Large Deviations (2018) (0)
0 41 20 85 v 1 2 3 D ec 2 00 4 Dynamics of Triangulations March 28 , 2022 (2022) (0)
Hyperbolicity in Position Space Induces Scaling in Parameter Space (1985) (0)
0 Ju l 2 00 2 Spectral Properties of Hypoelliptic Operators (0)
CHAPTER III. BIFURCATION THEORY (1990) (0)
Protein as amorphous evolving matter (2019) (0)
RESEARCH ARTICLE Decay of Correlations in a Topological Glass (2011) (0)
The normal form of the flow (1978) (0)
Communications in Mathematical Physics Controlling General Polynomial Networks (2014) (0)

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What Schools Are Affiliated With Jean-Pierre Eckmann?

Jean-Pierre Eckmann is affiliated with the following schools:

University of Geneva

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