arXiv Open Access 2023

Determinants of Laplacians on random hyperbolic surfaces

Frédéric Naud

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Abstrak

We investigate the behaviour of the regularized determinant of the Laplace-Beltrami operator on compact hyperbolic surfaces when the genus goes to infinity. We show that for all popular models of random surfaces, with high probability as the genus goes to infinity, the determinant has an exponential growth with a universal exponent. Limit results for some moments of the logarithm of the determinant are then derived.

Topik & Kata Kunci

math.SP math.DG

Penulis (1)

Frédéric Naud

Format Sitasi

APA MLA BibTeX

Naud, F. (2023). Determinants of Laplacians on random hyperbolic surfaces. https://arxiv.org/abs/2301.09965

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓