Percolation sur le système à trois points et Analyse harmonique sur le graphe de Pascal (Suite)

Lundi 15 octobre 2007 - Quint Jean-françois - Villetaneuse

Résumé : Abstract : The three dot system is an action by homeomorphisms of $\mathbb Z2$ on a compact space, which invariant measures are supposed to satisfy rigidity properties analoguous to the ones of invariant measures of angle doubling and tripling on the circle. For such measures, we establish a dichotomy which is related to percolation properties.
lien sur l’article : http://arxiv.org/abs/0709.0239
* Analyse harmonique sur le graphe de Pascal
Abstract : We prove a spectral decomposition theorem for a well-known self-similar graph, for some finite graphs which are quotients of this graph and for a compactification of it.
lien sur l’article : http://arxiv.org/abs/0709.0240

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