The probabilistic nature of McShane's identity: planar tree coding of simple loops

François Labourie (1) , Ser Peow Tan

1 LJAD - Laboratoire Jean Alexandre Dieudonné

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.

Domaines: Géométrie différentielle [math.DG]; Topologie géométrique [math.GT]

François Labourie, Ser Peow Tan. The probabilistic nature of McShane's identity: planar tree coding of simple loops. Geometriae Dedicata, 2018, ⟨10.1007/s10711-017-0307-0⟩. ⟨hal-01654564⟩