10 citations · 15 across the 6 of their papers we have counts for
4 papers · 1 filter
Powers of Brownian Green Potentials
Claude Dellacherie, Mauricio Duarte, Servet Martínez +2
In this article we study stability properties of , the standard Green kernel for an open regular set in . In we show that is again a Green kernel of…
Gravitation versus Brownian motion
Sayan Banerjee, Krzysztof Burdzy, Mauricio Duarte
We investigate the motion of an inert (massive) particle being impinged from below by a particle performing (reflected) Brownian motion. The velocity of the inert particle increase…
Asymptotics for the heat kernel in multicone domains
Pierre Collet, Mauricio Duarte, Servet Martinez +2
A multi cone domain is an open, connected set that resembles a finite collection of cones far away from the origin. We study the rate of decay in time of…
Spinning Brownian motion
Mauricio A. Duarte
We prove strong existence and uniqueness for a reflection process in a smooth, bounded domain that behaves like obliquely-reflected-Brownian-motion, except that the directi…