GT ADG-Systèmes DynamiquesWerner's measure on selfavoiding loops
HAN Yong (Mapmo)
mardi 11 octobre 2016 14:00 - Orléans - Salle de Séminaire
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.