54 citations · 89 across the 17 of their papers we have counts for
17 papers
Survival of a long random string among hard Poisson traps
Siva Athreya, Mathew Joseph, Carl Mueller
In [AJM26], we gave large-time asymptotic bounds on the annealed survival probability of a moving polymer taking values in . This polymer is a solution of…
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation
Mohammud Foondun, Mathew Joseph, Kunwoo Kim
We consider the stochastic heat equation on with periodic boundary conditions and driven by space-time white noise. Under various natural conditions, we study small ball…
Small ball probabilities and a support theorem for the stochastic heat equation
Siva Athreya, Mathew Joseph, Carl Mueller
We consider the following stochastic partial differential equation on where we consider to be the circle with end points identified: \begin{…
Longest increasing path within the critical strip
Partha Dey, Mathew Joseph, Ron Peled
A Poisson point process of unit intensity is placed in the square . An increasing path is a curve connecting with which is non-decreasing in each coordinat…
An invariance principle for the stochastic heat equation
Mathew Joseph
We approximate the white-noise driven stochastic heat equation by replacing the fractional Laplacian by the generator of a discrete time random walk on the one dimensional lattice,…
An approximation result for a class of stochastic heat equations with colored noise
Mohammud Foondun, Shiu-Tang Li, Mathew Joseph
We show that a large class of stochastic heat equations can be approximated by systems of interacting stochastic differential equations. As a consequence, we prove various comparis…