28 citations · 259 across the 61 of their papers we have counts for
7 papers · 1 filter
Simultaneous boundary hitting by coupled reflected Brownian motions
Krzysztof Burdzy
(i) Uncountably many synchronized reflected Brownian motions can hit the boundary of a domain at the same time. (ii) Measures associated to local times of two synchronized re…
Billiards with Markovian reflection laws
Clayton Barnes, Krzysztof Burdzy, Carl-Erik Gauthier
We construct a class of reflection laws for billiard processes in the unit interval whose stationary distribution for the billiard position and its velocity is the product of the u…
On pinned billiard balls and foldings
Jayadev S. Athreya, Krzysztof Burdzy, Mauricio Duarte
We consider systems of "pinned balls," i.e., balls that have fixed positions and pseudo-velocities. Pseudo-velocities change according to the same rules as those for velocities of…
On the number of hard ball collisions
Krzysztof Burdzy, Mauricio Duarte
We give a new and elementary proof that the number of elastic collisions of a finite number of balls in the Euclidean space is finite. We show that if there are balls of equal…
A lower bound for the number of elastic collisions
Krzysztof Burdzy, Mauricio Duarte
We prove by example that the number of elastic collisions of balls of equal mass and equal size in -dimensional space can be greater than for and $d\geq 2…
Knudsen gas in flat tire
Krzysztof Burdzy, Carl-Erik Gauthier
We consider random reflections (according to the Lambertian distribution) of a light ray in a thin variable width (but almost circular) tube. As the width of the tube goes to zero,…