The role of constraints within generalized nonextensive statistics

Possible generalization of Boltzmann-Gibbs statistics

1988 • 8,734 citations

Self-organized criticality: An explanation of the 1/fnoise

1987 • 7,285 citations

The Fokker-Planck equation

1984 • 4,966 citations

The Fokker-Planck Equation

1984 • 1,791 citations

Thermodynamics of Chaotic Systems

1993 • 1,134 citations

Generalized statistical mechanics: connection with thermodynamics

1991 • 747 citations

Lévy Flights and Related Topics in Physics

1995 • 730 citations

Thermodynamics of chaotic systems

1993 • 713 citations

Stellar polytropes and Tsallis' entropy

1993 • 568 citations

Anomalous diffusion in the presence of external forces: Exact time-dependent solutions and their thermostatistical basis

1996 • 567 citations

Generalized simulated annealing

1996 • 467 citations

Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems

1998 • 424 citations

Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics

1996 • 342 citations

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

1983 • 327 citations

Microscopic dynamics of the nonlinear Fokker-Planck equation: A phenomenological model

1998 • 307 citations

A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics

1997 • 268 citations

What are the Numbers that Experiments Provide

1994 • 255 citations

Thermodynamics of Anomalous Diffusion

1995 • 253 citations

Breakdown of Exponential Sensitivity to Initial Conditions: Role of the Range of Interactions

1998 • 248 citations

Generalized statistics and solar neutrinos

1996 • 231 citations

Gravitational Physics of Stellar and Galactic Systems

1985 • 218 citations

Power-law sensitivity to initial conditions—New entropic representation

1997 • 212 citations

Gravitational Physics of Stellar and Galactic Systems

1985 • 200 citations

Tsallis' entropy, Ehrenfest theorem and information theory

1993 • 190 citations

Generalized simulated annealing algorithms using Tsallis statistics: Application to conformational optimization of a tetrapeptide

1996 • 165 citations

Non-equilibrium thermodynamics and anomalous diffusion

1996 • 155 citations

Measurements of inverse bremsstrahlung absorption and non-Maxwellian electron velocity distributions

1994 • 153 citations

Traveling salesman problem and Tsallis statistics

1995 • 151 citations

Relaxation of 2D turbulence to a metaequilibrium near the minimum enstrophy state

1994 • 147 citations

Non-Extensive Thermostatistical Approach of the Peculiar Velocity Function of Galaxy Clusters

1998 • 144 citations

Power-law sensitivity to initial conditions within a logisticlike family of maps: Fractality and nonextensivity

1997 • 142 citations

On the irreversible nature of the Tsallis and Renyi entropies

1992 • 133 citations

Early Universe Test of Nonextensive Statistics

1997 • 129 citations

Nonextensive physics: a possible connection between generalized statistical mechanics and quantum groups

1994 • 127 citations

On aq-generalization of circular and hyperbolic functions

1998 • 126 citations

Generalized Nonextensive Thermodynamics Applied to the Cosmic Background Radiation in a Robertson-Walker Universe

1996 • 126 citations

Generalization of Shannon’s theorem for Tsallis entropy

1997 • 122 citations

On the universality of thermodynamics' Legendre transform structure

1997 • 117 citations

Long-range interactions and nonextensivity in ferromagnetic spin models

1996 • 114 citations

Dynamic Linear Response Theory for a Nonextensive System Based on the Tsallis Prescription

1996 • 111 citations

Crossover from extensive to nonextensive behavior driven by long-range interactions

1995 • 111 citations

NONEXTENSIVE THERMOSTATISTICS AND FRACTALS

1995 • 96 citations

Statistical-Mechanical Foundation of the Ubiquity of the Lévy Distributions in Nature

1996 • 91 citations

Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution

1998 • 83 citations

Two-dimensional turbulence in pure-electron plasma: A nonextensive thermostatistical description

1997 • 80 citations

Comment on “Thermodynamic stability conditions for the Tsallis and Rényi entropies” by J.D. Ramshaw

1995 • 59 citations

The Peculiar Velocity Function of Galaxy Clusters

1996 • 58 citations

Nonextensivity and Tsallis statistics in magnetic systems

1997 • 58 citations

Comment on “Thermodynamics of Anomalous Diffusion”

1996 • 54 citations

Thermalization of an electron-phonon system in a nonequilibrium state characterizedby fractal distribution of phonon excitations

1997 • 53 citations

Perturbation and Variational Methods in Nonextensive Tsallis Statistics

1998 • 52 citations

Extensive and non-extensive thermodynamics. A molecular dynamic test

1996 • 52 citations

Power Law Velocity Fluctuations Due to Inelastic Collisions in Numerically Simulated Vibrated Bed of Powder

1995 • 49 citations

Zanette and Alemany Reply

1996 • 46 citations

Comparison study of pivot methods for global optimization

1997 • 45 citations

Maxwellian relative energies and solar neutrinos

1974 • 41 citations

Some general relations in arbitrary thermostatistics

1997 • 41 citations

When entropy does not seem extensive

1993 • 41 citations

Nonlinear inverse bremsstrahlung absorption and nonextensive thermostatistics

1997 • 41 citations

The one-dimensional Potts model with long-range interactions: a renormalization group approach

1997 • 40 citations

The Onsager reciprocity relations within Tsallis statistics

1997 • 34 citations

Imitation games: Power-law sensitivity to initial conditions and nonextensivity

1998 • 32 citations

Constraints for solar neutrinos fluxes

1997 • 32 citations

Simulated annealing with Tsallis weights a numerical comparison

1997 • 30 citations

Aging in models of nonlinear diffusion

1997 • 29 citations

Standard thermal statistics with q-entropies

1996 • 27 citations

Algorithm for multiple minima search

1998 • 26 citations

Nonpolynomial fitting of multiparameter functions

1996 • 25 citations

Non-standard thermal statistics with q-entropies

1996 • 19 citations

Damage spreading in the ‘sandpile’ model of SOC

1997 • 12 citations

Advancing Faddeev: Math Can Deepen Physics Understanding

1998 • 6 citations

Irreversible processes: The generalized affinities within Tsallis statistics

1998 • 6 citations

Hybrid Classical and Quantum Modeling of Defects, Interfaces, and Surfaces

1999 • 5 citations

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

1993 • 5 citations