Local limit theorem for time-inhomogeneous functions of Markov processes

Fuente: arXiv
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Autori principali: Koralov, Leonid, Yan, Shuo
Natura: Preprint
Pubblicazione: 2023
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author Koralov, Leonid
Yan, Shuo
author_facet Koralov, Leonid
Yan, Shuo
contents In this paper, we consider a continuous-time Markov process and prove a local limit theorem for the integral of a time-inhomogeneous function of the process. One application is in the study of the fast-oscillating perturbations of linear dynamical systems.
format Preprint
id arxiv_https___arxiv_org_abs_2308_00880
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Local limit theorem for time-inhomogeneous functions of Markov processes
Koralov, Leonid
Yan, Shuo
Probability
60F05, 60J25
In this paper, we consider a continuous-time Markov process and prove a local limit theorem for the integral of a time-inhomogeneous function of the process. One application is in the study of the fast-oscillating perturbations of linear dynamical systems.
title Local limit theorem for time-inhomogeneous functions of Markov processes
topic Probability
60F05, 60J25
url https://arxiv.org/abs/2308.00880