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math.PR2021
A collection of results relating the geometry of plane domains and the exit time of planar Brownian motion
Maher Boudabra, Andrew Buttigieg, Greg Markowsky
We prove a number of results relating exit times of planar Brownian with the geometric properties of the domains in question. Included are proofs of the conformal invariance of mod…
math.PR2021
On the duration of stays of Brownian motion in domains in Euclidean space
Dimitrios Betsakos, Maher Boudabra, Greg Markowsky
Let denote the first exit time of a Brownian motion from a domain in . Given domains containing the origin, we investigate th…
math.PR2021
On the finiteness of moments of the exit time of planar Brownian motion from comb domains
Maher Boudabra, Greg Markowsky
A comb domain is defined to be the entire complex plain with a collection of vertical slits, symmetric over the real axis, removed. In this paper, we consider the question of deter…