8 citations · 33 across the 14 of their papers we have counts for
4 papers · 2 filters
-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…
On Infinitesimal Generators and Feynman-Kac Integrals of Adelic Diffusion
David Weisbart
For each prime , a Vladimirov operator with a positive exponent specifies a -adic diffusion equation and a measure on the Skorokhod space of -adic paths. The product, ,…
Estimates of Certain Exit Probabilities for -Adic Brownian Bridges
David Weisbart
For each prime , a diffusion constant together with a positive exponent specify a Vladimirov operator and an associated -adic diffusion equation. The fundamental solution of…