Event № 1355
Event № 1355
WI
Geometric Functional Analysis and Probability Seminar
- Naomi Feldheim University of Minnesota
15/01/2015, Thursday, 11:05
Type: Lecture
Name: Geometric Functional Analysis and Probability Seminar
Title: Persistence Probability for Stationary Gaussian processes
Speaker: Naomi Feldheim University of Minnesota
Place:
Room 261, Ziskind Building, Weizmann Institute of Science
Abstract:
The $N$ persistence probability of a stationary process is the pr obability that it is positive on a time interval of length $N$. On the int=obability that it is positive on a time interval of length $N$. On the integers, the independent sequence has persistence probability $2^{-N}$. It is therefore natural to conjecture that in general, given sufficient independence, the persistence probability of stationary Gaussian processes will decay exponentially. In the talk we formulate in spectral language simple broad sufficient conditions for upper and lower exponential bounds on the persistence probability. The results hold also for Gaussian processes on the real line, and generalize bounds given by Newell and Rosenblatt in the 1960's, and by Antezana, Buckley, Marzo and Olsen in 2012. Joint work with Ohad Feldheim.
SubmittedBy:
Gizel Maimon , gizel.maimon@weizmann.ac.il
EventLink: Event № 1355