132 citations · 1.5k across the 59 of their papers we have counts for
Showing 2015Show all
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math-ph2015★ 8 cited
On the relevance of q-distribution functions: The return time distribution of restricted random walker
Jaleh Zand, Ugur Tirnakli, Henrik Jeldtoft Jensen
There exist a large literature on the application of -statistics to the out-of-equilibrium non-ergodic systems in which some degree of strong correlations exists. Here we study…
cond-mat.stat-mech2015
A closer look at coupled logistic maps at the edge of chaos
Ugur Tirnakli, Constantino Tsallis
We focus on a linear chain of first-neighbor-coupled logistic maps at their edge of chaos in the presence of a common noise. This model, characterised by the coupling strength…
cond-mat.stat-mech2015★ 132 cited
The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics
Ugur Tirnakli, Ernesto P. Borges
As well known, Boltzmann-Gibbs statistics is the correct way of thermostatistically approaching ergodic systems. On the other hand, nontrivial ergodicity breakdown and strong corre…