4 papers
Polarity of points for Gaussian random fields in critical dimension
Youssef Hakiki, Cheuk Yin Lee, Yimin Xiao
We study the property of hitting points for a class of -valued continuous Gaussian random fields on with stationary increments, i.i.d. coordinates, and…
On the Fourier dimension of fractional Brownian graphs
Cheuk Yin Lee, Samy Tindel
In this note we prove that the Fourier dimension of the graph of a fractional Brownian motion with Hurst parameter is equal to 1. This finishes to solve a…
Fourier dimension of the graph of fractional Brownian motion with
Chun-Kit Lai, Cheuk Yin Lee
We prove that the Fourier dimension of the graph of fractional Brownian motion with Hurst index greater than is almost surely 1. This extends the result of Fraser and Sahlste…
Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds
David Candil, Le Chen, Cheuk Yin Lee
We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann bound…