Work

Functional limits for "tied down" occupation time processes of infinite ergodic transformations

Year: 2021

Type: preprint

Abstract: We prove functional, distributional limit theorems for the occupation times of pointwise dual ergodic transformations at "tied-down" times immediately after "excursions". The limiting processes are tied down Mittag-Leffler processes and the transformations involved exhibit functional tied-down renewal mixing properties strengthening those of [AS19].

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2104.12006

Authors: Aaronson, Jon., Sera, Toru

Institution: The University of Osaka

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Israel Science Foundation, Japan Society for the Promotion of Science

Awards: Stochastic analysis of intermittent maps and random dynamical systems via operator renewal theory, G5793981761, Analysis of occupations near indifferent fixed points of interval maps by methods for stochastic processes

OpenAlex ID: W3157965472

Cites: 19

Cited by: 1

Related to: 10