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

Possible generalization of Boltzmann-Gibbs statistics

1988 • 8,734 citations

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

1990 • 3,918 citations

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

1993 • 1,033 citations

Generalized statistical mechanics: connection with thermodynamics

1991 • 747 citations

Fractal Space-Time And Microphysics: Towards A Theory Of Scale Relativity

1993 • 622 citations

Stellar polytropes and Tsallis' entropy

1993 • 568 citations

Generalized simulated annealing

1996 • 467 citations

Fractal Space-Time and Microphysics

1993 • 362 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

Gauge theories, vertex models, and quantum groups

1990 • 276 citations

Generalized statistical mechanics: connection with thermodynamics

1992 • 226 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

Is equilibrium always an entropy maximum?

1984 • 172 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

AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS

1993 • 108 citations

Exact Statistical Thermodynamics of Gravitational Interactions in One and Two Dimensions

1965 • 103 citations

Geometry optimization and conformational analysis through generalized simulated annealing

1998 • 102 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

H-theorems for the Tsallis and Renyi entropies

1993 • 79 citations

The classical N-body problem within a generalized statistical mechanics

1994 • 79 citations

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

1994 • 77 citations

Quantum mechanics on a lattice and q-deformations

1992 • 69 citations

Variational method in generalized statistical mechanics

1993 • 59 citations

Departure from Boltzmann-Gibbs statistics makes the hydrogen-atom specific heat a computable quantity

1995 • 57 citations

Dynamical aspects of Tsallis' entropy

1994 • 55 citations

Irreversibility and generalized entropies

1993 • 50 citations

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

1993 • 46 citations

Fluctuation Phenomena

1952 • 42 citations

N-body problems and gravitational dynamics

1993 • 35 citations

The Onsager reciprocity relations within Tsallis statistics

1997 • 34 citations

On Self-Organization

1994 • 28 citations

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

1989 • 24 citations

Irreversible thermodynamics in the framework of Tsallis entropy

1995 • 23 citations

The existence of dark matter in question

1993 • 22 citations

Anyonic realization of SUq(N) quantum algebra

1993 • 22 citations

Generalized Simulated Annealing

2017 • 15 citations

Learning dynamics of simple perceptrons with non-extensive cost functions

1996 • 12 citations

THERMO FIELD DYNAMICS OF DEFORMED SYSTEMS

1993 • 7 citations