Weak LQG metrics and Liouville first passage percolation

Weak LQG metrics and Liouville first passage percolation

Abstract For $$\gamma \in (0,2)$$γ∈(0,2), we define a weak$$\gamma $$γ-Liouville quantum gravity (LQG) metric to be a function $$h\mapsto D_h$$h↦Dh which takes in an instance of the planar Gaussian free field and outputs a metric on the plane satisfying a certain list of natural axioms. We show tha...

書目詳細資料
Main Authors:	Dubédat, Julien, Falconet, Hugo, Gwynne, Ewain, Pfeffer, Joshua, Sun, Xin
其他作者:	Massachusetts Institute of Technology. Department of Mathematics
格式:	Article
語言:	English
出版:	Springer Berlin Heidelberg 2021
在線閱讀:	https://hdl.handle.net/1721.1/131625

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