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math.PR2020
Quickest Real-Time Detection of a Brownian Coordinate Drift
Philip A. Ernst, Goran Peskir
Consider the motion of a Brownian particle in two or more dimensions, whose coordinate processes are standard Brownian motions with zero drift initially, and then at some random/un…
math.PR2020
Asymptotic behavior of the occupancy density for obliquely reflected Brownian motion in a half-plane and Martin boundary
Philip Ernst, Sandro Franceschi
Let be the occupancy density of an obliquely reflected Brownian motion in the half plane and let (, ) be the polar coordinates of a point in the upper half plane. This wo…
math.PR2020
The rencontre problem
F. Thomas Bruss, Philip A. Ernst, Dongzhou Huang
Let be independent sequences of Bernoulli random v…