Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails

DOI10.1088/1361-6544/ab9585zbMath1465.37009arXiv1903.09337OpenAlexW3178196668MaRDI QIDQ5136501

Tanja I. Schindler, Marc Kesseböhmer

Publication date: 26 November 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09337

zbMATH Keywords

spectral methodtransfer operatormean convergence\(\psi\)-mixingpiecewise expanding interval mapstrimmed sum process

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) (L^p)-limit theorems (60F25)

Related Items (3)

Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ Prime numbers in typical continued fraction expansions ⋮ Limit theorems for sums of products of consecutive partial quotients of continued fractions

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