71 citations · 128 across the 15 of their papers we have counts for
6 papers · 2 filters
A Local time correspondence for stochastic partial differential equations
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart
It is frequently the case that a white-noise-driven parabolic and/or hyperbolic stochastic partial differential equation (SPDE) can have random-field solutions only in spatial dime…
Level sets of the stochastic wave equation driven by a symmetric Lévy noise
Davar Khoshnevisan, Eulalia Nualart
We consider the solution of a system of linear stochastic wave equations driven by a -dimensional symmetric space-time Lévy noise. We prov…
Harmonic analysis of additive Levy processes
Davar Khoshnevisan, Yimin Xiao
Let denote independent -dimensional Lévy processes, and consider the -parameter random field \[\X(\bm{t}):= X_1(t_1)+...+X_N(t_N).\] First we demonstrate th…
Dynamical percolation on general trees
Davar Khoshnevisan
Häggström, Peres, and Steif (1997) have introduced a dynamical version of percolation on a graph . When is a tree they derived a necessary and sufficient condition for perco…
Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart
We consider a system of d non-linear stochastic heat equations in spatial dimension 1 driven by d-dimensional space-time white noise. The non-linearities appear both as additive dr…
Hitting Probabilities for Systems of Non-Linear Stochastic Heat Equations with Additive Noise
Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart
We consider a system of coupled non-linear stochastic heat equations in spatial dimension 1 driven by -dimensional additive space-time white noise. We establish upper and lo…