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arXiv · 1912.06797

Radial Toeplitz operators and invariant determinantal point processes on Cayley trees

Yanqi Qiu
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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.

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Yanqi Qiu. 2019-12-14. Radial Toeplitz operators and invariant determinantal point processes on Cayley trees. https://arxiv.org/abs/1912.06797

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