3 papers
math.CV2025
Complex analytic proofs of two probabilistic theorems
Greg Markowsky, Clayton McDonald
In this paper, we use purely complex analytic techniques to prove two results of the first author which were hitherto given only probabilistic proofs. A general form of the PhragmÃ…
math.PR2025
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…
math.PR2025
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…