Rate of convergence of uniform transport processes to a Brownian sheet

We give the rate of convergence to a Brownian sheet from a family of processes constructed starting from a set of independent standard Poisson processes. These processes have realizations that converge almost surely to the Brownian sheet, uniformly in the unit square.

Bibliographic Details
Main Author: Rovira Carles
Format: Article
Language:English
Published: De Gruyter 2020-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0041