2015
Dec
22

# Dynamics & probability: Naomi Feldheim (Stanford), "New results on zeroes of stationary Gaussian functions"

2:00pm to 3:00pm

## Location:

Math 209 (Manchester building)

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]. We present an extension of a result by Wiener, concerning the existence and characterization of the limit N(T)/T as T approaches infinity, as well as characterize the growth of the variance of N(T).