Seminar series
Date
Mon, 06 Nov 2017
Time
14:15 -
15:15
Location
L3
Speaker
IGOR WIGMAN
Organisation
Kings College London
This talk is based on a joint work with Dmitry Beliaev.
We study the volume distribution of nodal domains of families of naturally arising Gaussian random field on generic manifolds, namely random band-limited functions. It is found that in the high energy limit a typical instance obeys a deterministic universal law, independent of the manifold. Some of the basic qualitative properties of this law, such as its support, monotonicity and continuity of the cumulative probability function, are established.