English

Spectral gap for random Schottky surfaces

Spectral Theory 2024-08-01 v1 Probability

Abstract

We establish a spectral gap for resonances of the Laplacian of random Schottky surfaces, which is optimal according to a conjecture of Jakobson and Naud.

Cite

@article{arxiv.2407.21506,
  title  = {Spectral gap for random Schottky surfaces},
  author = {Irving Calderón and Michael Magee and Frédéric Naud},
  journal= {arXiv preprint arXiv:2407.21506},
  year   = {2024}
}
R2 v1 2026-06-28T17:59:11.441Z