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Mathematics > Dynamical Systems
Title: Large deviations for occupation and waiting times of infinite ergodic transformations
(Submitted on 5 Mar 2024 (v1), last revised 10 Mar 2024 (this version, v2))
Abstract: We establish large deviation estimates related to the Darling--Kac theorem and generalized arcsine laws for occupation and waiting times of ergodic transformations preserving an infinite measure, such as non-uniformly expanding interval maps with indifferent fixed points. For the proof, we imitate the study of generalized arcsine laws for occupation times of one-dimensional diffusion processes and adopt a method of double Laplace transform.
Submission history
From: Toru Sera [view email][v1] Tue, 5 Mar 2024 05:06:46 GMT (26kb)
[v2] Sun, 10 Mar 2024 19:14:55 GMT (26kb)
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