Radial Toeplitz operators and invariant determinantal point processes on Cayley trees
Functional Analysis
2019-12-17 v1 Probability
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.
Cite
@article{arxiv.1912.06797,
title = {Radial Toeplitz operators and invariant determinantal point processes on Cayley trees},
author = {Yanqi Qiu},
journal= {arXiv preprint arXiv:1912.06797},
year = {2019}
}
Comments
20 pages