Arcsine and Darling–Kac laws for piecewise linear random interval maps-Reference-Cited by-同舟云学术

Arcsine and Darling–Kac laws for piecewise linear random interval maps

Published:2022-11-19 Issue:01 Volume:23 Page:
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Hata Genji¹,Yano Kouji²^ORCID

Affiliation:

1. SAPIX, Yoyogi, Shibuya-Ku, Tokyo 151-0053, Japan

2. Graduate School of Science, Kyoto University, Sakyo-Ku, Kyoto 606-8502, Japan

Abstract

We give examples of piecewise linear random interval maps satisfying arcsine and Darling–Kac laws, which are analogous to Thaler’s arcsine and Aaronson’s Darling–Kac laws for the Boole transformation. They are constructed by random switch of two piecewise linear maps with attracting or repelling fixed points, which behave as if they were indifferent fixed points of a deterministic map.

Funder

Japan Society for the Promotion of Science

Publisher

World Scientific Pub Co Pte Ltd

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493723500065

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