8 citations · 45 across the 21 of their papers we have counts for
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math.AP2015★ 6 cited
Quantum Ergodicity for Eisenstein functions
Yannick Bonthonneau, Steve Zelditch
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 curvatur…
math.SP2015★ 7 cited
Weyl laws for manifolds with hyperbolic cusps
Yannick Bonthonneau
We give Weyl-type estimates on the natural spectral counting function for manifolds with exact hyperbolic cusps. We treat three different cases: without assumption on the compact p…
math.SP2015★ 1 cited
Resonance-free regions for negatively curved manifolds with cusps
Yannick Bonthonneau
The Laplace-Beltrami operator on cusp manifolds has continuous spectrum. The resonances are complex numbers that replace the discrete spectrum of the compact case. They are the pol…