The probabilistic nature of McShane’s identity: planar tree coding of simple loops
Author:
Funder
FP7 Ideas: European Research Council
National University of Singapore
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology
Link
http://link.springer.com/article/10.1007/s10711-017-0307-0/fulltext.html
Reference17 articles.
1. Birman, J.S., Series, C.: Geodesics with bounded intersection number on surfaces are sparsely distributed. Topology 24(2), 217–225 (1985)
2. Bowditch, B.H.: A proof of McShane’s identity via Markoff triples. Bull. Lond. Math. Soc. 28(1), 73–78 (1996)
3. Bridgeman, M.J., Tan, S.P.: Identities on hyperbolic manifolds. In: Papadopoulos, A. (ed.) Handbook of Teichmüller Theory. vol. V, pp. 19–53. European Mathematical Society, Zürich (2016)
4. Hu, H., Tan, S.P., Zhang, Y.: A new identity for $${{\rm SL}} (2, {\mathbb{C}})$$ SL ( 2 , C ) -characters of the once punctured torus group. Math. Res. Lett. 22, 485–499 (2015)
5. Hu, H., Tan, S.P., Zhang, Y.: Polynomial automorphisms of $${\mathbb{C}}^n$$ C n preserving the Markoff–Hurwitz polynomial. Geom. Dedicata. https://doi.org/10.1007/s10711-017-0235-z
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