Strongly quasi-mixing properties for one-dimensional diffusion processes with killing

In this paper, we establish sufficient conditions for the existence of strongly (uniformly and exponentially) quasi-mixing limits of one-dimensional diffusion processes with killing. As a by-product, these conditions also ensure that the considered processes have strong quasi-ergodicity, strong frac...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2024-08, Vol.57 (32), p.325002
Main Authors: Liao, Saixia, Zhang, Hanjun, Li, Huasheng
Format: Article
Language:English
Subjects:
fractional quasi-ergodicity
mean-ratio quasi-ergodicity
quasi-ergodicity
quasi-mixing limit
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we establish sufficient conditions for the existence of strongly (uniformly and exponentially) quasi-mixing limits of one-dimensional diffusion processes with killing. As a by-product, these conditions also ensure that the considered processes have strong quasi-ergodicity, strong fractional quasi-ergodicity and uniform mean-ratio quasi-ergodicity. Moreover, the quasi-ergodic speeds of these three quasi-ergodicities are also characterized.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ad637f