8 citations · 33 across the 14 of their papers we have counts for
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Geometry-induced criticality in -adic scaling limits of random walks
Rahul Rajkumar, David Weisbart
An anisotropy parameter in induces on a duality-compatible, two-scale filtration that collapses to one scale at the right endpoint. This filtration def…
Brownian Motion in the -Adic Integers is a Limit of Discrete Time Random Walks
Tyler Pierce, David Weisbart
Vladimirov defined an operator on balls in , the -adic numbers, that is analogous to the Laplace operator in the real setting. Kochubei later provided a probabilist…
Brownian Motion in a Vector Space over a Local Field is a Scaling Limit
Tyler Pierce, Rahul Rajkumar, Andrea Stine +2
For any natural number , the Vladimirov-Taibleson operator is a natural analogue of the Laplace operator for complex-valued functions on a -dimensional vector space over…
Components and Exit Times of Brownian Motion in two or more -Adic Dimensions
Rahul Rajkumar, David Weisbart
The fundamental solution of a pseudo-differential equation for functions defined on the -fold product of the -adic numbers, , induces an analogue of the Wiener…
-Adic Brownian Motion is a Scaling Limit
David Weisbart
A -adic Brownian motion is a continuous time stochastic process in a -adic state space that has a Vladimirov operator as its infinitesimal generator. The current work shows t…
Buffon's Problem determines Gaussian Curvature in three Geometries
Aizelle Abelgas, Bryan Carrillo, John Palacios +2
A version of the classical Buffon problem in the plane naturally extends to the setting of any Riemannian surface with constant Gaussian curvature. The Buffon probability determine…