Department of         Mathematical Sciences Events People Colloquia and Seminars Conferences Centers Positions Areas of Research About the Department Alumni Math Colloquium Fedor Nazarov Kent State Title: The sharp upper bound for the probability that a stationary Gaussian process with a spectral gap remains positive on along interval Abstract: Let $f$ be a stationary Gaussian process on $\mathbb Z$ whose spectral measure has no mass in a neighborhood of the origin. Then the probability that $f(k)\ge 0$ for all $k=0,1,\dots,n$ does not exceed $e^{-cn^2}$ and the bound is the best possible without additional assumptions. Date: Friday, September 15, 2017Time: 4:30 pmLocation: Wean Hall 7500Submitted by:  BukhNote: Refreshments at 5:30 pm, Wean Hall 6220.