Distributional behavior of time averages of non-\(L^1\) observables in one-dimensional intermittent maps with infinite invariant measures

DOI10.1007/s10955-014-1138-0zbMath1369.37007arXiv1310.4055OpenAlexW3104540801MaRDI QIDQ2350110

Takuma Akimoto, Soya Shinkai, Yoji Aizawa

Publication date: 18 June 2015

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4055

zbMATH Keywords

distributional limit theoremanomalous diffusioninfinite ergodic theory

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional limit theorems; invariance principles (60F17) Dynamical systems involving maps of the interval (37E05)

Related Items (3)

Infinite ergodic theory meets Boltzmann statistics ⋮ Distributional behavior of diffusion coefficients obtained by single trajectories in annealed transit time model ⋮ Infinite ergodicity that preserves the Lebesgue measure

Cites Work

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