Infinite-range Ising ferromagnet: Thermodynamic limit within Generalized Statistical Mechanics

Possible generalization of Boltzmann-Gibbs statistics

1988 • 8,734 citations

Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

1944 • 6,099 citations

On Growth and Form

1917 • 4,330 citations

Introduction to Phase Transitions and Critical Phenomena

1972 • 4,053 citations

Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications

1990 • 3,918 citations

Introduction to Phase Transitions and Critical Phenomena

1973 • 3,785 citations

Statistics of the Two-Dimensional Ferromagnet. Part I

1941 • 1,661 citations

Two-dimensional turbulence

1980 • 1,083 citations

Long-range anticorrelations and non-Gaussian behavior of the heartbeat

1993 • 1,033 citations

q-deformation of Poincaré algebra

1991 • 767 citations

Generalized statistical mechanics: connection with thermodynamics

1991 • 747 citations

Is transport in porous media always diffusive? A counterexample

1980 • 633 citations

The Central Limit Theorem for Real and Banach Valued Random Variables

1981 • 611 citations

Stellar polytropes and Tsallis' entropy

1993 • 568 citations

New quantum Poincaré algebra and κ-deformed field theory

1992 • 511 citations

Generalized simulated annealing

1996 • 467 citations

Statistical mechanics of Euler equations in two dimensions

1990 • 413 citations

Quantum lie superalgebras and q-oscillators

1990 • 344 citations

Maximum entropy formalism, fractals, scaling phenomena, and 1/f noise: A tale of tails

1983 • 327 citations

Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model

1990 • 323 citations

Anomalous diffusion in ‘‘living polymers’’: A genuine Levy flight?

1990 • 315 citations

From Microphysics to Macrophysics

2007 • 294 citations

Chaos, solitons, and fractals

1991 • 287 citations

Gauge theories, vertex models, and quantum groups

1990 • 276 citations

Statistical mechanics, Euler’s equation, and Jupiter’s Red Spot

1992 • 242 citations

Reaction-Diffusion Processes, Critical Dynamics, and Quantum Chains

1994 • 241 citations

Some comments on Boltzmann-Gibbs statistical mechanics

1995 • 227 citations

Gravitational Physics of Stellar and Galactic Systems

1985 • 218 citations

Fractal random walks from a variational formalism for Tsallis entropies

1994 • 213 citations

Gravitational Physics of Stellar and Galactic Systems

1985 • 200 citations

Tsallis' entropy, Ehrenfest theorem and information theory

1993 • 190 citations

A maximum-entropy principle for two-dimensional perfect fluid dynamics

1991 • 189 citations

q-Deformed Poincaré algebra

1992 • 188 citations

Is equilibrium always an entropy maximum?

1984 • 172 citations

Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence

1993 • 144 citations

A fractal approach to entropy and distribution functions

1993 • 139 citations

On the irreversible nature of the Tsallis and Renyi entropies

1992 • 133 citations

Superdiffusion in random velocity fields

1990 • 130 citations

Analogs of renormalization group transformations in random processes

1981 • 109 citations

AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS

1993 • 108 citations

Information theory, approximate time dependent solutions of Boltzmann's equation and Tsallis' entropy

1994 • 104 citations

Exact Statistical Thermodynamics of Gravitational Interactions in One and Two Dimensions

1965 • 103 citations

THE CENTRAL LIMIT THEOREM FOR REAL AND BANACH VALUED RANDOM VARIABLES

1981 • 102 citations

Geometry optimization and conformational analysis through generalized simulated annealing

1998 • 102 citations

A q-deformed Lorentz algebra

1991 • 95 citations

The Langevin and Fokker-Planck equations in the framework of a generalized statistical mechanics

1994 • 93 citations

Anyons and quantum groups

1993 • 80 citations

The fluctuation-dissipation theorem in the framework of the Tsallis statistics

1994 • 77 citations

Student's t- and r-distributions: Unified derivation from an entropic variational principle

1997 • 71 citations

Quantum mechanics on a lattice and q-deformations

1992 • 69 citations

Reaction-diffusion processes as physical realizations of Hecke algebras

1993 • 68 citations

Entropies need not to be concave

1980 • 64 citations

Variational method in generalized statistical mechanics

1993 • 59 citations

Anomalous diffusion in elongated micelles and its Lévy flight interpretation

1991 • 57 citations

Dynamical aspects of Tsallis' entropy

1994 • 55 citations

Extensive versus Nonextensive Physics

1994 • 51 citations

Specific heat of a free particle in a generalized Boltzmann-Gibbs statistics

1993 • 46 citations

Ising chain in the generalized Boltzmann-Gibbs statistics

1991 • 38 citations

Remarks on the behavior of the Ising chain in the generalized statistics

1994 • 37 citations

A note on (p, q)-oscillators and bibasic hypergeometric functions

1993 • 31 citations

Mixing and ‘‘violent relaxation’’ for the one-dimensional gravitational Coulomb gas

1989 • 24 citations

The existence of dark matter in question

1993 • 22 citations

Anyonic realization of SUq(N) quantum algebra

1993 • 22 citations

Should entropy be concave?

1994 • 22 citations

Thermodynamics of superstrings

1987 • 22 citations

Learning dynamics of simple perceptrons with non-extensive cost functions

1996 • 12 citations

The Perpendicular Oscillations of a Homogeneous Slab of Stars

1973 • 12 citations

THERMO FIELD DYNAMICS OF DEFORMED SYSTEMS

1993 • 7 citations

Minimum Energy / Maximum Entropy States of a Self-gravitating System

1993 • 5 citations

Deformed systems at finite temperature

1994 • 5 citations

Author's reply

1973 • 1 citations