Invariance properties of Brownian motion via Lie's symmetries

Fuente: arXiv
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Auteurs principaux: Dehò, Susanna, De Vecchi, Francesco C., Morando, Paola, Ugolini, Stefania
Format: Preprint
Publié: 2026
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author Dehò, Susanna
De Vecchi, Francesco C.
Morando, Paola
Ugolini, Stefania
author_facet Dehò, Susanna
De Vecchi, Francesco C.
Morando, Paola
Ugolini, Stefania
contents The invariance properties of Brownian motion are investigated and revisited within a recent Lie symmetry approach to stochastic differential equations. Some notable properties of the process can be recovered by a related integration by parts formula developed in the same research area.
format Preprint
id arxiv_https___arxiv_org_abs_2602_18251
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Invariance properties of Brownian motion via Lie's symmetries
Dehò, Susanna
De Vecchi, Francesco C.
Morando, Paola
Ugolini, Stefania
Probability
The invariance properties of Brownian motion are investigated and revisited within a recent Lie symmetry approach to stochastic differential equations. Some notable properties of the process can be recovered by a related integration by parts formula developed in the same research area.
title Invariance properties of Brownian motion via Lie's symmetries
topic Probability
url https://arxiv.org/abs/2602.18251