Images of Gaussian Random Fields : Salem Sets and Interior Points

@inproceedings{Shieh2006ImagesOG,
  title={Images of Gaussian Random Fields : Salem Sets and Interior Points},
  author={Narn-Rueih Shieh and Yimin Xiao},
  year={2006}
}
Let X = {X(t), t ∈ RN} be a Gaussian random field in R with stationary increments. For any Borel set E ⊂ R , we provide sufficient conditions for the image X(E) to be a Salem set or to have interior points by studying the asymptotic properties of the Fourier transform of the occupation measure of X and the continuity of the local times of X on E… CONTINUE READING