A large-scale analogue of Zelditch's quantum mixing theorem is established for compact hyperbolic surfaces using the wave equation and geodesic flow mixing, valid for arithmetic and Weil-Petersson random surfaces.
Spectral gap of random hyperbolic surfaces
3 Pith papers cite this work. Polarity classification is still indexing.
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Cutoff is established for geodesic paths and Brownian motion on compact hyperbolic manifolds in any dimension.
Eigenfunctions of Schrödinger operators on BS-converging hyperbolic surfaces exhibit quantum mixing in sufficiently large spectral windows.
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Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces
A large-scale analogue of Zelditch's quantum mixing theorem is established for compact hyperbolic surfaces using the wave equation and geodesic flow mixing, valid for arithmetic and Weil-Petersson random surfaces.
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Cutoff for geodesic paths on hyperbolic manifolds
Cutoff is established for geodesic paths and Brownian motion on compact hyperbolic manifolds in any dimension.
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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.