A singular SDE driven by additive fractional Brownian motion with Hurst parameter H<1/2

Fuente: arXiv
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Autores principales: Song, Xiaoming, Tortoriello, Alexander
Formato: Preprint
Publicado: 2026
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author Song, Xiaoming
Tortoriello, Alexander
author_facet Song, Xiaoming
Tortoriello, Alexander
contents In this article we study a class of singular stochastic differential equations driven by fractional Brownian motion with Hurst parameter H<1/2. The solution is constructed as the limit of a family of approximating processes, and its trajectory properties are investigated.
format Preprint
id arxiv_https___arxiv_org_abs_2604_10266
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A singular SDE driven by additive fractional Brownian motion with Hurst parameter H<1/2
Song, Xiaoming
Tortoriello, Alexander
Probability
In this article we study a class of singular stochastic differential equations driven by fractional Brownian motion with Hurst parameter H<1/2. The solution is constructed as the limit of a family of approximating processes, and its trajectory properties are investigated.
title A singular SDE driven by additive fractional Brownian motion with Hurst parameter H<1/2
topic Probability
url https://arxiv.org/abs/2604.10266