11 citations · 15 across the 5 of their papers we have counts for
4 papers
Topology and nesting of the zero set components of monochromatic random waves
Yaiza Canzani, Peter Sarnak
This paper is dedicated to the study of the topologies and nesting configurations of the components of the zero set of monochromatic random waves. We prove that the probability of…
On the topology of the zero sets of monochromatic random waves
Yaiza Canzani, Peter Sarnak
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 tha…
Nullspaces of Conformally Invariant Operators. Applications to -curvature
Yaiza Canzani, A. Rod Gover, Dmitry Jakobson +1
We study conformal invariants that arise from functions in the nullspace of conformally covariant differential operators. The invariants include nodal sets and the topology of noda…
Scalar curvature and -curvature of random metrics
Yaiza Canzani, Dmitry Jakobson, Igor Wigman
We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous q…