On the topology of the zero sets of monochromatic random waves
Mathematical Physics
2014-12-16 v1 Analysis of PDEs
math.MP
Probability
Abstract
This note concerns the topology of the connected components of the zero sets of monochromatic random waves on compact Riemannian manifolds without boundary. In [SW] it is shown that these are distributed according to a universal measure on the space of smooth topological types. Our goal is to determine the support of this measure.
Keywords
Cite
@article{arxiv.1412.4437,
title = {On the topology of the zero sets of monochromatic random waves},
author = {Yaiza Canzani and Peter Sarnak},
journal= {arXiv preprint arXiv:1412.4437},
year = {2014}
}