Quantum variance vanishes for local and pseudolocal operators on Benjamini-Schramm convergent hyperbolic surfaces, assuming bounded injectivity radius and a spectral gap.
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Quantum Ergodicity on large hyperbolic surfaces for local and pseudolocal operators
Quantum variance vanishes for local and pseudolocal operators on Benjamini-Schramm convergent hyperbolic surfaces, assuming bounded injectivity radius and a spectral gap.