8 citations · 33 across the 14 of their papers we have counts for
6 papers · 1 filter
-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…
Modernizing Archimedes' Construction of
David Weisbart
In his famous work, "Measurement of a Circle," Archimedes described a procedure for measuring both the circumference of a circle and the area it bounds. Implicit in his work is the…
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, ,…
Constructing Span Categories From Categories Without Pullbacks
David Weisbart, Adam Yassine
Span categories provide an abstract framework for formalizing mathematical models of certain systems. The mathematical descriptions of some systems, such as classical mechanical sy…
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…