Persistence and Ball Exponents for Gaussian Stationary Processes

Naomi Feldheim, Ohad Feldheim, Sumit Mukherjee

Consider a real Gaussian stationary process $f_{\rho }$, indexed on either $\mathbb{R}$ or $\mathbb{Z}$ and admitting a spectral measure $\rho$. We study $θ_ρ^\ell=-\lim\limits_{T\to\infty}…