43 citations · 151 across the 8 of their papers we have counts for
8 papers
Statistical characterization of discrete conservative systems: The web map
Guiomar Ruiz, Ugur Tirnakli, Ernesto P. Borges +1
We numerically study the two-dimensional, area preserving, web map. When the map is governed by ergodic behavior, it is, as expected, correctly described by Boltzmann-Gibbs statist…
Statistical characterization of the standard map
Guiomar Ruiz, Ugur Tirnakli, Ernesto P. Borges +1
The standard map, paradigmatic conservative system in the phase space, has been recently shown to exhibit interesting statistical behaviors directly related to the value of…
Emergence of -statistical functions in a generalized binomial distribution with strong correlations
Guiomar Ruiz, Constantino Tsallis
We study a symmetric generalization of the binomial distribution recently introduced by Bergeron et al, where denotes the win probability,…
Reply to Comment on "Towards a large deviation theory for strongly correlated systems"
Guiomar Ruiz, Constantino Tsallis
The paper that is commented by Touchette contains a computational study which opens the door to a desirable generalization of the standard large deviation theory (applicable to a s…
Towards a large deviation theory for statistical-mechanical complex systems
Guiomar Ruiz, Constantino Tsallis
The theory of large deviations constitutes a mathematical cornerstone in the foundations of Boltzmann-Gibbs statistical mechanics, based on the additive entropy $S_{BG}=- k_B\sum_{…
Time--Evolving Statistics of Chaotic Orbits of Conservative Maps in the Context of the Central Limit Theorem
G. Ruiz, T. Bountis, C. Tsallis
We study chaotic orbits of conservative low--dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of iterates in the…