Thermodynamic expansion to arbitrary moduli

Abstract

We extend the thermodynamic expansion results in [BourgainGamburdSarnak2011, MageeOhWinter2015] from square-free to arbitrary moduli by developing a novel decoupling technique and applying [BourgainVarju2012].

9 pages

References in corpus (1)

• Expanding maps and continued fractions

Cited by in corpus (2)

• Explicit spectral gap for Hecke congruence covers of arithmetic Schottky surfaces
• Uniform resonance free regions for convex cocompact hyperbolic surfaces and expanders