Stochastic flows on metric graphs

Hatem Hajri; Olivier Raimond

doi:10.1214/EJP.v19-2773

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Home > Journals > Electron. J. Probab. > Volume 19 > Article

2014 Stochastic flows on metric graphs

Hatem Hajri, Olivier Raimond

Author Affiliations +

Hatem Hajri,¹ Olivier Raimond²
¹Université du Luxembourg
²Université Paris Ouest Nanterre La Défense

Electron. J. Probab. 19: 1-20 (2014). DOI: 10.1214/EJP.v19-2773

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Abstract

We study a simple stochastic differential equation driven by one Brownian motion on a general oriented metric graph whose solutions are stochastic flows of kernels. Under some condition, we describe the laws of all solutions. This work is a natural continuation of previous works by Hajri, Hajri-Raimond and Le Jan-Raimond where some particular graphs have been considered.