7 citations · 11 across the 5 of their papers we have counts for
5 papers
Intermittency and multifractality: A case study via parabolic stochastic PDEs
Davar Khoshnevisan, Kunwoo Kim, Yimin Xiao
Let denote space-time white noise, and consider the following stochastic partial differential equations: (i) , started identically at one; and (ii)…
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…
On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations
Le Chen, Kunwoo Kim
In this paper, we prove a sample-path comparison principle for the nonlinear stochastic fractional heat equation on with measure-valued initial data. We give quantitat…