2 citations · 3 across the 3 of their papers we have counts for
7 papers
A variant of Cauchy's argument principle for analytic functions which applies to curves containing zeroes
Maher Boudabra, Greg Markowsky
It is known that the Cauchy's argument principle, applied to an holomorphic function , requires that has no zeros on the curve of integration. In this short note, we give a…
A note on the moments of sequences of complex numbers
Greg Markowsky, Maher Boudabra
We give a short proof that the limsup of the p-th root of the modulus of the p-th moment of a sequence of complex numbers is equal to the modulus of the maximum of the sequence.Thi…
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…
Maximizing the -th moment of exit time of planar Brownian motion from a given domain
Maher Boudabra, Greg Markowsky
In this paper we address the question of finding the point which maximizes the -th moment of the exit time of planar Brownian motion from a given domain. We present a geometrica…