Arcsine law for random dynamics with a core

DOI10.1088/1361-6544/acb398OpenAlexW4318615926MaRDI QIDQ5877228

Hisayoshi Toyokawa, Yushi Nakano, Kouji Yano, Fumihiko Nakamura

Publication date: 3 February 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.00226

zbMATH Keywords

random dynamical systemsarcsine lawinfinite ergodic theorycore dynamics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05) Nonsingular (and infinite-measure preserving) transformations (37A40) Random iteration (37H12)

Cites Work

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• On–off intermittency and chaotic walks
• Functional limit theorem for occupation time processes of intermittent maps
• Multiray generalization of the arcsine laws for occupation times of infinite ergodic transformations
• Arcsine and Darling–Kac laws for piecewise linear random interval maps

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