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.
Another approach to some rough and stochastic partial differential equations
A lattice scheme for stochastic partial differential equations of elliptic type in dimension $d\ge 4$
Stochastic partial differential equations: a rough path view
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