71 citations · 352 across the 75 of their papers we have counts for
4 papers · 1 filter
Strong approximations in a charged-polymer model
Yueyun Hu, Davar Khoshnevisan
We study the large-time behavior of the charged-polymer Hamiltonian of Kantor and Kardar [Bernoulli case] and Derrida, Griffiths, and Higgs [Gaussian case], using strong appr…
Zeros of a two-parameter random walk
Davar Khoshnevisan, Pal Revesz
We prove that the number gamma(N) of the zeros of a two-parameter simple random walk in its first N-by-N time steps is almost surely equal to N to the power 1+o(1) as N goes to inf…
Dynkin's isomorphism theorem and the stochastic heat equation
Nathalie Eisenbaum, Mohammud Foondun, Davar Khoshnevisan
Consider the stochastic heat equation $\partial_t u = \sL u + \dot{W}$, where $\sL$ is the generator of a [Borel right] Markov process in duality. We show that the solution is loca…
On the global maximum of the solution to a stochastic heat equation with compact-support initial data
Mohammud Foondun, Davar Khoshnevisan
Consider a stochastic heat equation for a space-time white noise and a constant . Under some suitable conditions on th…