C*-académie
Graphed pseudogroups and associated branching numberMaría Fernández de Córdoba
Friday 04 December 2009 14:00 - Orléans - Salle de Séminaire
Résumé :
The branching number of an infinite locally finite tree is an aproximation of the average number of branches per vertex. We extend the notion of branching number to any measurable graphed pseudogroup of finite type acting on a probability space. We prove that such a pseudogroup is amenable if its branching number is equal to $1$. In order to prove that this actually generalizes results of C. Series and V. Kaimanovich on equivalence relations with polynomial and subexponential growth, we describe an example of minimal lamination whose holonomy pseudogroup has branching number $1$ and exponential growth
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