GT ADG-Systèmes Dynamiques

Werner's measure on selfavoiding loops
HAN Yong (Mapmo)
Tuesday 11 October 2016 14:00 -  Orléans -  Salle de Séminaire

Résumé :
I will talk about Werner's measure. This is a family of measures defined on the simple loops on Riemann Surfaces. And it satisfies a property called "conformal restriction" which characterizes this measure uniquely. In fact,for planar domains this measure can be regarded as the outer boundary of a Brownian loop. For Riemann surfaces, this measure is determined by its restriction on annular regions, therefore if one can define this measure in an annular region, then one gets this measure. I will follow Werner's paper to introduce the construction of this measure.

Liens :

• The conformally invariant measure on self-avoiding loops W. Werner