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19962025
most citedThe standard map: From Boltzmann-Gibbs statistics to Tsallis statistics

132 citations · 1.5k across the 59 of their papers we have counts for

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Showing 2008Show all

6 papers · 1 filter

cond-mat.stat-mech2008★ 26 cited

Self-organization in dissipative optical lattices

G. Baris Bagci, Ugur Tirnakli

We show that the transition from Gaussian to the q-Gaussian distributions occurring in atomic transport in dissipative optical lattices can be interpreted as self-organization by r…

cond-mat.stat-mech2008

Self-organization in nonadditive systems with external noise

G. Baris Bagci, Ugur Tirnakli

A nonadditive generalization of Klimontovich's S-theorem [G. B. Bagci, Int.J. Mod. Phys. B 22, 3381 (2008)] has recently been obtained by employing Tsallis entropy. This general ve…

cond-mat.stat-mech2008★ 21 cited

On the way towards a generalized entropy maximization procedure

G. Baris Bagci, Ugur Tirnakli

We propose a generalized entropy maximization procedure, which takes into account the generalized averaging procedures and information gain definitions underlying the generalized e…

cond-mat.stat-mech2008★ 7 cited

Generalized entropic structures and non-generality of Jaynes' Formalism

Thomas Oikonomou, Ugur Tirnakli

The extremization of an appropriate entropic functional may yield to the probability distribution functions maximizing the respective entropic structure. This procedure is known in…

cond-mat.stat-mech2008★ 1 cited

Convergence dynamics of 2-dimensional isotropic and anisotropic Bak-Sneppen models

Burhan Bakar, Ugur Tirnakli

The conventional Hamming distance measurement captures only the short-time dynamics of the displacement between the uncorrelated random configurations. The minimum difference techn…

cond-mat.stat-mech2008★ 99 cited

A closer look at time averages of the logistic map at the edge of chaos

Ugur Tirnakli, Constantino Tsallis, Christian Beck

The probability distribution of sums of iterates of the logistic map at the edge of chaos has been recently shown [see U. Tirnakli, C. Beck and C. Tsallis, Phys. Rev. E 75, 040106(…