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...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131625 |