Heat kernel for Liouville Brownian motion and Liouville graph distance
type: Item
instance of: scholarly article
title: Heat kernel for Liouville Brownian motion and Liouville graph distance
zbMATH Open document ID: 1480.60090
author: Jian Ding
author: Fuxi Zhang
author: Ofer Zeitouni
published in: Communications in Mathematical Physics
publication date: 2019-10-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1807.00422
Mathematics Subject Classification ID: 60G15
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 60J35
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 83C80
zbMATH DE Number: 7120760
zbMATH Keywords: Liouville Brownian motion
zbMATH Keywords: Liouville quantum gravity
MaRDI profile type: Publication
OpenAlex ID: W2811182681
arXiv ID: 1807.00422
cites work: Q4001807
cites work: Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions
cites work: Diffusion in planar Liouville quantum gravity
cites work: An elementary approach to Gaussian multiplicative chaos
cites work: KPZ formula derived from Liouville heat kernel
cites work: Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field
cites work: The Brunn-Minkowski inequality in Gauss space
cites work: Dynamical freezing in a spin glass system with logarithmic correlations
cites work: Another derivation of the geometrical KPZ relations
cites work: Large deviations techniques and applications.
cites work: Liouville first-passage percolation: subsequential scaling limits at high temperature
cites work: Upper Bounds on Liouville First‐Passage Percolation and Watabiki's Prediction
cites work: The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
cites work: On the Liouville heat kernel for \(k\)-coarse MBRW
cites work: Non-universality for first passage percolation on the exponential of log-correlated Gaussian fields
cites work: Liouville metric of star-scale invariant fields: tails and Weyl scaling
cites work: Liouville quantum gravity and KPZ
cites work: Ecole d'ete de probabilités de Saint-Flour IV-1974
cites work: On the heat kernel and the Dirichlet form of Liouville Brownian motion
cites work: Liouville Brownian motion
cites work: A distance exponent for Liouville quantum gravity
cites work: Q5732774
cites work: Decompositions of log-correlated fields with applications
cites work: Q3729757
cites work: The concentration of measure phenomenon
cites work: Liouville heat kernel: regularity and bounds
cites work: Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
cites work: Liouville quantum gravity and the Brownian map. III: The conformal structure is determined
cites work: Quantum Loewner evolution
cites work: KPZ formula for log-infinitely divisible multifractal random measures
cites work: Gaussian multiplicative chaos and applications: a review
cites work: Spectral dimension of Liouville quantum gravity
cites work: Gaussian multiplicative chaos and Liouville quantum gravity
cites work: Gaussian multiplicative chaos revisited
cites work: On Gaussian multiplicative chaos
cites work: Gaussian free fields for mathematicians
cites work: Q4120793
Wikidata QID: Q127879441
DOI: 10.1007/S00220-019-03467-8
description: scientific article