71 citations · 352 across the 75 of their papers we have counts for
80 papers
The ergodic theory of SPDEs in a weak-noise regime
Mathew Joseph, Davar Khoshnevisan, Kunwoo Kim +1
Consider a parabolic SPDE \[ \partial_t u = Δu + σ(u)η, \] on , where is a centered, generalized Gaussian noise with $\text{Cov}[η(t\,,x)\,,η(s\…
On the slow points of fractional Brownian motion
Davar Khoshnevisan, Cheuk Yin Lee
Esser and Loosveldt have recently resolved a long-standing open problem in the folklore by proving that fractional Brownian motion (fBm) has slow points in the sense of Kahane, fol…
Points of slow growth for parabolic SPDEs
Davar Khoshnevisan, Cheuk Yin Lee
Consider the stochastic PDE, on , subject to , where denotes space-time white noi…
Uniform dimension theorems for parabolic SPDEs
Davar Khoshnevisan, Cheuk Yin Lee, Fei Pu +1
Consider the following -dimensional system of Itô type stochastic PDEs, \begin{align*}\left[\begin{aligned} &\partial_t u(t\,,x) = \partial^2_x u(t\,,x) + b(u(t\,,x)) + σ(u(t\,,…
On the local well-posedness of randomly forced reaction-diffusion equations with initial data and a superlinear reaction term
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart
We consider a parabolic stochastic partial differential equation (SPDE) on that is forced with multiplicative space-time white noise with a bounded and Lipschitz diffusio…
On the passage times of self-similar Gaussian processes on curved boundaries
Davar Khoshnevisan, Cheuk Yin Lee
Let denote the smallest that a continuous, self-similar Gaussian process with self-similarity index moves at least units. We prove that: (i) If…