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<titleInfo><title>Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces</title></titleInfo>





<name type="personal">
  <namePart type="given">Benjamin</namePart>
  <namePart type="family">Delarue</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">70575</identifier></name>
<name type="personal">
  <namePart type="given">Guendalina</namePart>
  <namePart type="family">Palmirotta</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">109467</identifier></name>














<abstract lang="eng">We prove that the Patterson-Sullivan and Wigner distributions on the unit
sphere bundle of a convex-cocompact hyperbolic surface are asymptotically
identical. This generalizes results in the compact case by
Anantharaman-Zelditch and Hansen-Hilgert-Schr\&quot;oder.</abstract>

<originInfo><dateIssued encoding="w3cdtf">2024</dateIssued>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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<relatedItem type="host"><titleInfo><title>arXiv:2411.19782</title></titleInfo>
  <identifier type="arXiv">2411.19782</identifier>
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<bibliographicCitation>
<apa>Delarue, B., &amp;#38; Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. In &lt;i&gt;arXiv:2411.19782&lt;/i&gt;.</apa>
<short>B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).</short>
<mla>Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” &lt;i&gt;ArXiv:2411.19782&lt;/i&gt;, 2024.</mla>
<bibtex>@article{Delarue_Palmirotta_2024, title={Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces}, journal={arXiv:2411.19782}, author={Delarue, Benjamin and Palmirotta, Guendalina}, year={2024} }</bibtex>
<ama>Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. &lt;i&gt;arXiv:241119782&lt;/i&gt;. Published online 2024.</ama>
<ieee>B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces,” &lt;i&gt;arXiv:2411.19782&lt;/i&gt;. 2024.</ieee>
<chicago>Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” &lt;i&gt;ArXiv:2411.19782&lt;/i&gt;, 2024.</chicago>
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