Shabat polynomials and harmonic measure

Philippe Biane (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

This note is inspired by [BZ], which describes the true shape of a tree. Each planar tree (remember that a planar tree is a tree in which, for each vertex, the adjacent edges are cyclically ordered) has a distinguished embedding in the complex plane (up to similitude).

Domaines: Informatique et langage [cs.CL]

Philippe Biane. Shabat polynomials and harmonic measure. Catherine Donati-Martin, Michel Émery, Alain Rouault, Christophe Stricker. Séminaire de Probabilités XLII, 1979 (1), Springer, pp.147-151, 2009, Lecture Notes in Mathematics, ⟨10.1007/978-3-642-01763-6_5⟩. ⟨hal-00622782⟩