Rough stochastic differential equations

Fuente: arXiv
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Autori principali: Friz, Peter K., Hocquet, Antoine, Lê, Khoa
Natura: Preprint
Pubblicazione: 2021
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author Friz, Peter K.
Hocquet, Antoine
Lê, Khoa
author_facet Friz, Peter K.
Hocquet, Antoine
Lê, Khoa
contents We establish a simultaneous generalization of Itô's theory of stochastic and Lyons' theory of rough differential equations. The interest in such a unification comes from a variety of applications, including pathwise stochastic filtering, - control and the conditional analysis of stochastic systems with common noise.
format Preprint
id arxiv_https___arxiv_org_abs_2106_10340
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Rough stochastic differential equations
Friz, Peter K.
Hocquet, Antoine
Lê, Khoa
Probability
60L20, 60H10
We establish a simultaneous generalization of Itô's theory of stochastic and Lyons' theory of rough differential equations. The interest in such a unification comes from a variety of applications, including pathwise stochastic filtering, - control and the conditional analysis of stochastic systems with common noise.
title Rough stochastic differential equations
topic Probability
60L20, 60H10
url https://arxiv.org/abs/2106.10340