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Moderate deviations for rough differential equations.

Authors :
Inahama, Yuzuru
Xu, Yong
Yang, Xiaoyu
Source :
Bulletin of the London Mathematical Society. May2024, p1. 11p.
Publication Year :
2024

Abstract

Small noise problems are quite important for all types of stochastic differential equations. In this paper, we focus on rough differential equations driven by scaled fractional Brownian rough path with Hurst parameter H∈(1/4,1/2]$H\in (1/4, 1/2]$. We prove a moderate deviation principle for this equation as the scale parameter tends to zero. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00246093
Database :
Academic Search Index
Journal :
Bulletin of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
177508137
Full Text :
https://doi.org/10.1112/blms.13097