Quasi-sure non-self-intersection for rough differential equations driven by fractional Brownian motion
type: Item
instance of: scholarly article
title: Quasi-sure non-self-intersection for rough differential equations driven by fractional Brownian motion
zbMATH Open document ID: 1492.60302
DOI: 10.1214/22-ECP454
author: Yanyan Li
published in: Electronic Communications in Probability
publication date: 2022-03-11T00:00:00Z
Mathematics Subject Classification ID: 60L20
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H07
zbMATH DE Number: 7488310
zbMATH Keywords: rough differential equations
zbMATH Keywords: stochastic differential equations
zbMATH Keywords: fractional Brownian motion
zbMATH Keywords: Malliavin calculus
zbMATH Keywords: capacity
Wikidata QID: Q115240765
MaRDI profile type: Publication
cites work: On probability laws of solutions to differential systems driven by a fractional Brownian motion
cites work: Quasi-sure existence of Gaussian rough paths and large deviation principles for capacities
cites work: A quasi-sure non-degeneracy property for the Brownian rough path
cites work: Integration of Paths--A Faithful Representation of Paths by Noncommutative Formal Power Series
cites work: Stochastic analysis, rough path analysis and fractional Brownian motions.
cites work: Q5794056
cites work: Q5610799
cites work: Multidimensional Stochastic Processes as Rough Paths
cites work: Basic properties of Brownian motion and a capacity on the Wiener space
cites work: Dirichlet forms and symmetric Markov processes
cites work: Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces
cites work: QUASI-SURE EXISTENCE OF BROWNIAN ROUGH PATHS AND A CONSTRUCTION OF BROWNIAN PANTS
cites work: Malliavin differentiability of solutions of rough differential equations
cites work: On Brownian motions in $n$-space
cites work: Intersections of Brownian motions
cites work: Q5791821
cites work: Fractal dimensions of rough differential equations driven by fractional Brownian motions
cites work: Q4039796
cites work: Fine properties of fractional Brownian motions on Wiener space
cites work: Differential equations driven by rough signals
cites work: System Control and Rough Paths
cites work: Differential equations driven by rough paths. Ecole d'Eté de Probabilités de Saint-Flour XXXIV -- 2004. Lectures given at the 34th probability summer school, July 6--24, 2004.
cites work: Q3749875
cites work: Q4337939
cites work: Fractional Brownian Motions, Fractional Noises and Applications
cites work: Brownian Motion
cites work: The Malliavin Calculus and Related Topics
cites work: Positive generalized Wiener functions and potential theory over abstract Wiener spaces
cites work: (r, p)-Capacity on the Wiener space and properties of Brownian motion
full work available at URL: 22-ecp454
OpenAlex ID: W4214830009
description: scientific article; zbMATH DE number 7488310