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On The Brownian Loop Measure
Han, Yong1; Wang, Yuefei2,3; Zinsmeister, Michel4
AbstractIn 2003 Lawler and Werner introduced the Brownian loop measure and studied some of its properties. In 2006 Cardy and Gamsa predicted a formula for the total mass that the Brownian loop measure assigns to the set of simple loops in the upper half plane disconnecting two given points from the boundary. In this paper we give a rigorous proof of this formula. Moreover, we present several applications of the formula to conformal restriction measures and CLE.
KeywordBrownian loop measure SLE bubble measure Brownian bubble measure Cardy-Gamsa's formula
Funding ProjectUniversite d'Orleans (FR) Institut Denis Poisson ; University of Chinese Academy of Sciences[11688101] ; Universite d'Orleans
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000470682700008
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Document Type期刊论文
Corresponding AuthorHan, Yong
Affiliation1.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100190, Peoples R China
4.Univ Orleans Orleans, COST, Inst Denis Poisson, BP 6759, F-45067 Orleans, France
Recommended Citation
GB/T 7714
Han, Yong,Wang, Yuefei,Zinsmeister, Michel. On The Brownian Loop Measure[J]. JOURNAL OF STATISTICAL PHYSICS,2019,175(5):987-1005.
APA Han, Yong,Wang, Yuefei,&Zinsmeister, Michel.(2019).On The Brownian Loop Measure.JOURNAL OF STATISTICAL PHYSICS,175(5),987-1005.
MLA Han, Yong,et al."On The Brownian Loop Measure".JOURNAL OF STATISTICAL PHYSICS 175.5(2019):987-1005.
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