Non-additive entropies and statistical mechanics at the edge of chaos: a bridge between natural and social sciences

C Tsallis - … Transactions of the Royal Society A, 2023 - royalsocietypublishing.org
The Boltzmann–Gibbs (BG) statistical mechanics constitutes one of the pillars of
contemporary theoretical physics. It is constructed upon the other pillars—classical …

Generalization of the Gauss map: A jump into chaos with universal features

C Beck, U Tirnakli, C Tsallis - Physical Review E, 2024 - APS
The Gauss map (or continued fraction map) is an important dissipative one-dimensional
discrete-time dynamical system that exhibits chaotic behavior, and it generates a symbolic …

Entropic extensivity and large deviations in the presence of strong correlations

U Tirnakli, M Marques, C Tsallis - Physica D: Nonlinear Phenomena, 2022 - Elsevier
Abstract The standard Large Deviation Theory (LDT) mirrors the Boltzmann–Gibbs (BG)
factor which describes the thermal equilibrium of short-range Hamiltonian systems, the …

[PDF][PDF] Extensividade Entrópica e Grandes Desvios na Presença de Correlações Não Locais

MM SOARES FILHO - cbpfindex.cbpf.br
A Teoria Padrão dos Grandes Desvios (LDT) espelha o fator de Boltzmann-Gibbs (BG) que
descreve o equilíbrio térmico de sistemas Hamiltonianos de curto alcance, cuja distribuição …