Eigenfunctions of Schrödinger operators on BS-converging hyperbolic surfaces exhibit quantum mixing in sufficiently large spectral windows.
A Moebius inversion formula to discard tangled hyperbolic surfaces
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.SP 3years
2026 3representative citing papers
Typical hyperbolic surfaces under the Weil-Petersson measure have spectral gap at least 2/9 - ε.
A survey of recent results proving that random hyperbolic surfaces of large genus have near-optimal spectral gaps, after Hide–Magee, Anantharaman–Monk, and Hide–Macera–Thomas.
citing papers explorer
-
Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit
Eigenfunctions of Schrödinger operators on BS-converging hyperbolic surfaces exhibit quantum mixing in sufficiently large spectral windows.
-
Typical hyperbolic surfaces have a spectral gap greater than $2/9 - \epsilon$
Typical hyperbolic surfaces under the Weil-Petersson measure have spectral gap at least 2/9 - ε.
-
Bass notes of random hyperbolic surfaces of large genus
A survey of recent results proving that random hyperbolic surfaces of large genus have near-optimal spectral gaps, after Hide–Magee, Anantharaman–Monk, and Hide–Macera–Thomas.