On The Brownian Loop Measure

Michel Zinsmeister; Yong Han; Yuefei Wang

arxiv: 1707.00965 · v1 · pith:AZ7JVF56new · submitted 2017-07-04 · 🧮 math-ph · math.MP· math.PR

On The Brownian Loop Measure

Yong Han , Yuefei Wang , Michel Zinsmeister This is my paper

classification 🧮 math-ph math.MPmath.PR

keywords brownianloopmeasureformulabeliaevboundarycardycomputations

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In 2003 Lawler and Werner introduced the Brownian loop measure and studied some of its properties. Cardy and Gamsa has predicted a formula for the total mass of the Brownian loop measure on the set of simple loops in the upper half plane and disconnect two given points from the boundary. In this paper we give a rigorous proof of the formula using a result by Beliaev and Viklund and heavy computations.

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On The Brownian Loop Measure

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