# A random string with reflection in a convex domain

Abstract : We study the motion of a random string in a convex domain $O$ in $\R^d$, namely the solution of a vector-valued stochastic heat equation, confined in the closure of $O$ and reflected at the boundary of $O$. We study the structure of the reflection measure by computing its Revuz measure in terms of an infinite-dimensional integration by parts formula. Our method exploits recent results on weak convergence of Markov processes with log-concave invariant measures.
Keywords :
Type de document :
Pré-publication, Document de travail
2010
Domaine :

https://hal.archives-ouvertes.fr/hal-00473274
Contributeur : Said Bounebache <>
Soumis le : mercredi 14 avril 2010 - 21:25:29
Dernière modification le : mercredi 12 octobre 2016 - 01:03:56

### Identifiants

• HAL Id : hal-00473274, version 1
• ARXIV : 1004.1197

### Citation

Said Bounebache. A random string with reflection in a convex domain. 2010. <hal-00473274>

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