Some exit times estimates for Super-Brownian motion and Fleming-Viot Process

TL;DR

This paper derives exit time estimates and large deviation bounds for super-Brownian motion and Fleming-Viot processes, providing insights into their behavior within specified intervals over time.

Contribution

It introduces new exit time estimates for these population models and applies large deviation principles to strengthen the bounds.

Findings

Exit time estimates for super-Brownian motion and Fleming-Viot process

Large deviation bounds for the models

Enhanced understanding of process behavior within intervals

Abstract

Estimates for exit time from an interval of length 2r before a prescribed time T are derived for solutions of a class of stochastic partial differential equations used to characterize two population models: super-Brownian motion and Fleming-Viot Process. These types of estimates are then derived for the two population models. The corresponding large deviation results are also applied for the acquired bounds.