71 citations · 352 across the 75 of their papers we have counts for
5 papers · 2 filters
Dissipation and high disorder
Le Chen, Michael Cranston, Davar Khoshnevisan +1
Given a field of independent standard Brownian motions, indexed by , the generator of a suitable Markov process on $\mathbf{Z}^d,\,\,\ma…
The dimension of the range of a transient random walk
Nicos Georgiou, Davar Khoshnevisan, Kunwoo Kim +1
We find formulas for the macroscopic Minkowski and Hausdorff dimensions of the range of an arbitrary transient walk in Z^d. This endeavor solves a problem of Barlow and Taylor (199…
Decorrelation of total mass via energy
Le Chen, Davar Khoshnevisan, Kunwoo Kim
The main result of this small note is a quantified version of the assertion that if u and v solve two nonlinear stochastic heat equations, and if the mutual energy between the init…
Analysis of the gradient of the solution to a stochastic heat equation via fractional Brownian motion
Mohammud Foondun, Davar Khoshnevisan, Pejman Mahboubi
Consider the stochastic partial differential equation , where denotes space-time white noise and denotes the fractional Laplace operat…
Strong invariance and noise-comparison principles for some parabolic stochastic PDEs
Mathew Joseph, Davar Khoshnevisan, Carl Mueller
We consider a system of interacting diffusions on the integer lattice. By letting the mesh size go to zero and by using a suitable scaling, we show that the system converges (in a…