71 citations · 352 across the 75 of their papers we have counts for
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Semi-discrete semi-linear parabolic SPDEs
Nicos Georgiou, Mathew Joseph, Davar Khoshnevisan +1
Consider an infinite system \[\partial_tu_t(x)=(\mathscr{L}u_t)(x)+ σ\bigl(u_t(x)\bigr)\partial_tB_t(x)\] of interacting Itô diffusions, started at a nonnegative deterministic boun…
Weak existence of a solution to a differential equation driven by a very rough fBm
Davar Khoshnevisan, Jason Swanson, Yimin Xiao +1
We prove that if is Lipschitz continuous, then for every there exists a probability space on which we can construct a fractional Brownian…
Non-linear noise excitation and intermittency under high disorder
Davar Khoshnevisan, Kunwoo Kim
Consider the semilinear heat equation on the interval with Dirichlet zero boundary condition and a nice non-random initial functi…
Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups
Davar Khoshnevisan, Kunwoo Kim
Consider the stochastic heat equation , where denotes the generator of a Lévy process on a locally compact Hausdorff Abelian group $G…