Radial Toeplitz operators and invariant determinantal point processes on Cayley trees

Abstract

We give a complete description of bounded radial Toeplitz operators on the Hilbert space associated with a Cayley tree. As an application, we give a complete classification of a rich family of determinantal point processes on Cayley trees whose correlation kernels and thus distributions are invariant under the action of the graph automorphisms of the Cayley trees.

20 pages

Cited by in corpus (1)

• Hyper-positive definite functions II: A complete study of branching-Toeplitz operators