132 citations · 1.5k across the 59 of their papers we have counts for
61 papers
Central Limit Behavior at the Edge of Chaos in the z-Logistic Map
Abbas Ali Saberi, Ugur Tirnakli, Constantino Tsallis
We focus on the FeigenbaumCoulletTresser point of the dissipative one-dimensional z logistic map. We show that sums of iterates converge to q Gaussian distributions, which optimize…
Generalization of the Gauss Map: A jump into chaos with universal features
Christian Beck, Ugur Tirnakli, Constantino Tsallis
The Gauss map (or continued fraction map) is an important dissipative one-dimensional discrete-time dynamical system that exhibits chaotic behaviour and which generates a symbolic…
Fourier's law breakdown for the planar-rotor chain with long-range coupling
Henrique Santos Lima, Constantino Tsallis, Deniz Eroglu +1
The thermal conductivity, , of a homogeneous chain of generically-ranged interacting planar rotors, more precisely the inertial model, is numerically studied with the cou…
Independent Approximates provide a maximum likelihood estimate for heavy-tailed distributions
Amenah AL-Najafi, Ugur Tirnakli, Kenric P. Nelson
Heavy-tailed distributions are infamously difficult to estimate because their moments tend to infinity as the shape of the tail decay increases. Nevertheless, this study shows the…
First-principle validation of Fourier's law in d=1,2,3 classical systems
Constantino Tsallis, Henrique Santos Lima, Ugur Tirnakli +1
We numerically study the thermal transport in the classical inertial nearest-neighbor XY ferromagnet in , the total number of sites being given by , where is th…
Entropic extensivity and large deviations in the presence of strong correlations
Ugur Tirnakli, Mauricio Marques, Constantino Tsallis
The standard Large Deviation Theory (LDT) mirrors the Boltzmann-Gibbs (BG) factor which describes the thermal equilibrium of short-range Hamiltonian systems, the velocity distribut…