Probability Seminar: Naomi Feldheim
Date
-
Topic
New results on zeroes of stationary Gaussian functions
Speakers
Details
We consider (complex) Gaussian analytic functions on a horizontal strip, whose distribution is invariant with respect to horizontal shifts (i.e., "stationary"). Let N(T) be the number of zeroes in [0,T] x [a,b]. First, we present an extension of a result by Wiener, concerning the existence and characterization of the limit N(T)/T as T approaches infinity. Secondly, we characterize the growth of the variance of N(T). For the last part, we consider real stationary Gaussian functions on the real axis and discuss the "gap probability" (i.e., the probability that the function has no zeroes in [0,T]). This part is a joint work with Ohad Feldheim.
Additional Information
Location: ESB 2012
Naomi Feldheim, Tel Aviv University
Naomi Feldheim, Tel Aviv University
This is a Past Event
Event Type
Scientific, Seminar
Date
September 25, 2013
Time
-
Location