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A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators

Spectral Theory 2023-10-12 v3 Mathematical Physics math.MP Probability

Abstract

This paper proves a probabilistic Weyl-law for the spectrum of randomly perturbed Berezin-Toeplitz operators, generalizing a result proven by Martin Vogel in 2020. This is done following Vogel's strategy using an exotic symbol calculus developed by the author in a recent paper.

Cite

@article{arxiv.2207.09599,
  title  = {A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators},
  author = {Izak Oltman},
  journal= {arXiv preprint arXiv:2207.09599},
  year   = {2023}
}

Comments

25 pages, 3 figures

R2 v1 2026-06-25T01:04:02.104Z