Environment seen from infinite geodesics in Liouville quantum gravity

DOI10.1214/23-aop1671MaRDI QIDQ6581183

Manan Bhatia, Riddhipratim Basu, Shirshendu Ganguly

Publication date: 30 July 2024

Published in: The Annals of Probability (Search for Journal in Brave)

zbMATH Keywords

geodesicsGaussian free fieldfirst passage percolationLiouville quantum gravity

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Self-similar stochastic processes (60G18)

Cites Work

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• Geodesics in large planar maps and in the Brownian map
• Liouville quantum gravity and KPZ
• The dimension of the boundary of a Liouville quantum gravity metric ball
• Confluence of geodesics in Liouville quantum gravity for \(\gamma \in (0,2)\)
• The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions
• Tightness of Liouville first passage percolation for \(\gamma \in (0,2)\)
• Thick points of the Gaussian free field
• Some limit theorems for percolation processes with necessary and sufficient conditions
• Subadditive ergodic theory
• Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
• SLE as a mating of trees in Euclidean geometry
• Strong laws of large numbers for weakly correlated random variables
• Geodesics in two-dimensional first-passage percolation
• The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
• Local metrics of the Gaussian free field
• Conformal covariance of the Liouville quantum gravity metric for \(\gamma\in (0,2)\)
• Three-halves variation of geodesics in the directed landscape
• Geodesics and metric ball boundaries in Liouville quantum gravity
• Weak LQG metrics and Liouville first passage percolation
• Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\)
• Harmonic functions on mated-CRT maps
• An elementary approach to Gaussian multiplicative chaos
• Gaussian free fields for mathematicians
• 50 Years of First-Passage Percolation
• Dynamic Scaling of Growing Interfaces
• A First Course in Sobolev Spaces
• The directed landscape

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