arXiv Analytics

Sign in

arXiv:2103.07870 [math.PR]AbstractReferencesReviewsResources

A note on the GFF with one free boundary condition

Yong Han, Yuefei Wang, Zipeng Wang

Published 2021-03-14Version 1

In this note, we shall prove an explicit formula on the probability of the level line of the Gaussian Free Field (GFF) with mixed boundary condition terminating at the free boundary, which generalizes the results of GFF with Dirichlet boundary condition.

Related articles: Most relevant | Search more
arXiv:1307.4424 [math.PR] (Published 2013-07-16)
Conformal field theory of dipolar SLE with the Dirichlet boundary condition
arXiv:1401.7197 [math.PR] (Published 2014-01-28)
On the Bellman function of Nazarov, Treil and Volberg
arXiv:1202.5172 [math.PR] (Published 2012-02-23, updated 2013-01-11)
Phase transition and level-set percolation for the Gaussian free field