The probabilistic nature of McShane's identity: planar tree coding of simple loops
| Autor: | Ser Peow Tan, François Labourie |
|---|---|
| Přispěvatelé: | Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2017 |
| Předmět: |
Mathematics - Differential Geometry
Discrete mathematics Statistics::Applications Hyperbolic geometry 010102 general mathematics Probabilistic logic Geometric Topology (math.GT) 16. Peace & justice Space (mathematics) 01 natural sciences Interpretation (model theory) Mathematics - Geometric Topology Identity (mathematics) Differential geometry Differential Geometry (math.DG) Simple (abstract algebra) [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] 0103 physical sciences FOS: Mathematics 010307 mathematical physics Geometry and Topology 0101 mathematics Projective geometry Mathematics |
| Zdroj: | Geometriae Dedicata Geometriae Dedicata, Springer Verlag, 2018, ⟨10.1007/s10711-017-0307-0⟩ |
| ISSN: | 0046-5755 1572-9168 |
| DOI: | 10.48550/arxiv.1707.07441 |
| Popis: | In this article, we discuss a probabilistic interpretation of McShane's identity as describing a finite measure on the space of embedded paths though a point. Comment: 25 pages |
| Databáze: | OpenAIRE |
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