2 citations · 3 across the 6 of their papers we have counts for
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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…
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…
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…
On the Dirichlet eigenvalue problem and the conformal Skorokhod embedding problem
Maher Boudabra, Greg Markowsky
In a recent work by Gross, the following problem was stated and solved: given a measure with finite second moment, find a simply connected domain in $\CC$ such that the rea…
Remarks on the speeds of a class of random walks on the integers
Maher Boudabra, Greg Markowsky
In recent years, there has been an interest in deriving certain important probabilistic results as consequences of deterministic ones; see for instance \cite{beig} and \cite{acc}.…
On the probability of fast exits and long stays of planar Brownian motion in simply connected domains
Dimitrios Betsakos, Maher Boudabra, Greg Markowsky
Let denote the first exit time of a planar Brownian motion from a domain . Given two simply connected planar domains $U,W \neq \SC$ containing , we investigate the case…