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math.PR2022
On the coming down from infinity of coalescing Brownian motions
Clayton Barnes, Leonid Mytnik, Zhenyao Sun
Consider a system of Brownian particles on the real line where each pair of particles coalesces at a certain rate according to their intersection local time. Assume that there are…
math.PR2022
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.