Quantum Ergodicity for Eisenstein functions
Yannick Bonthonneau, Steve Zelditch
TL;DR
This paper presents a new proof of Quantum Ergodicity for Eisenstein Series on cusped hyperbolic surfaces, extending the results to higher dimensions with variable curvature.
Contribution
It introduces a novel proof technique for Quantum Ergodicity of Eisenstein Series and generalizes the result to higher-dimensional, variable curvature settings.
Findings
Quantum Ergodicity holds for Eisenstein Series on cusped hyperbolic surfaces.
Extension of Quantum Ergodicity to higher-dimensional manifolds with variable curvature.
New proof method simplifies understanding of Eisenstein Series behavior.
Abstract
A new proof is given of Quantum Ergodicity for Eisenstein Series for cusped hyperbolic surfaces. This result is also extended to higher dimensional examples, with variable curvature.
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