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cond-mat.stat-mech2025
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…
cond-mat.stat-mech2025★ 3 cited
Interaction-correlated random matrices
Abbas Ali Saberi, Sina Saber, Roderich Moessner
We introduce a family of random matrices where correlations between matrix elements are induced via interaction-derived Boltzmann factors. Varying these yields access to different…