A generalized central limit theorem in infinite ergodic theory

DOI10.1007/s00440-013-0491-2zbMath1338.37011OpenAlexW2053810754MaRDI QIDQ2447294

Damien Thomine

Publication date: 25 April 2014

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-013-0491-2

zbMATH Keywords

regular variationcentral limit theoremMittag-Leffler distributionGibbs-Markov maps

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (8)

Fluctuations of ergodic sums on periodic orbits under specification ⋮ Differentiability of the diffusion coefficient for a family of intermittent maps ⋮ Lindeberg theorem for Gibbs–Markov dynamics ⋮ Potential kernel, hitting probabilities and distributional asymptotics ⋮ Growth of normalizing sequences in limit theorems for conservative maps ⋮ Local time and first return time for periodic semi-flows ⋮ Central limit theorems for the \(\mathbb{Z}^2\)-periodic Lorentz gas ⋮ Limit theorems for additive functionals of random walks in random scenery

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