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Asymptotics of resonances for hyperbolic surfaces

By David Borthwick

Appears in collection : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamique

After a brief introduction to the spectral theory of hyperbolic surfaces, we will focus on the problem of understanding the asymptotic distribution of resonances for hyperbolic surfaces. The theory of open quantum chaotic systems has inspired several interesting conjectures about this distribution. We will highlight the recent theoretical progress towards these conjectures, and present some of the latest numerical evidence.

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Citation data

  • DOI 10.24350/CIRM.V.19142803
  • Cite this video Borthwick, David (15/03/2017). Asymptotics of resonances for hyperbolic surfaces. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19142803
  • URL https://dx.doi.org/10.24350/CIRM.V.19142803

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