7 citations · 26 across the 47 of their papers we have counts for
35 papers · 1 filter
A collection of results relating the geometry of plane domains and the exit time of planar Brownian motion, II
Greg Markowsky, Clayton McDonald
This paper is the sequel to another with the same name (Buttigieg et al., Comput. Methods Funct. Theory, 2023), and is concerned with results of the same type. We deduce a result o…
A method of solution for the inverse problem for -functions of planar Brownian motion
Greg Markowsky, Clayton McDonald
Given a planar domain , the harmonic measure distribution function , with base point , is the harmonic measure with pole at of the parts of the boundary which are…
Stochastic Domination of Exit Times for Random Walks and Brownian Motion with Drift
Xi Geng, Greg Markowsky
In this note, by an elementary use of Girsanov's transform we show that the exit time for either a biased random walk or a drifted Brownian motion on a symmetric interval is stocha…
On the exponential integrability of the derivative of intersection and self-intersection local time for Brownian motion and related processes
Kaustav Das, Greg Markowsky, Binghao Wu
We show that the derivative of the intersection and self-intersection local times of alpha-stable processes are exponentially integrable for certain parameter values. This includes…
Comments on the infinitely divisibility of the Conway--Maxwell--Poisson distribution
Greg Markowsky, Preet Patel
In an elegant recent paper \cite{geng2022conway}, Geng and Xia settled the question of the infinite divisibility of the Conway--Maxwell--Poisson distribution, using in large part s…
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…