28 citations · 259 across the 61 of their papers we have counts for
77 papers
The spine of two-particle Fleming-Viot process in a bounded interval
Krzysztof Burdzy, János Engländer, Donald E. Marshall
We show that the spine of the Fleming-Viot process driven by Brownian motion and starting with two particles in a bounded interval has a different law from that of Brownian motion…
The supremum of Brownian local times on Hölder curves, II
Richard F. Bass, Krzysztof Burdzy
For , we consider , the local time of space-time Brownian motion on the curve . Let be the class of all functions whose Hölder norm of…
On the size of earthworm's trail
Krzysztof Burdzy, Shi Feng, Daisuke Shiraishi
We investigate the number of holes created by an ``earthworm'' moving on the two-dimensional integer lattice. The earthworm is modeled by a simple random walk. At the initial time,…
From pinned billiard balls to partial differential equations
Krzysztof Burdzy, Jeremy G. Hoskins, Stefan Steinerberger
We discuss the propagation of kinetic energy through billiard balls fixed in place along a one-dimensional segment. The number of billiard balls is assumed to be large but finite a…
Hausdorff Dimension of the Brownian Earthworm (WXML Winter 2017 Report)
Clayton Barnes, Krzysztof Burdzy, Alex Forney +3
Simulations support the conjecture that the dimension of the trace of Brownian earthworm is strictly greater than 3/2.
Upper bound on the number of collisions of pinned billiard balls
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…