Anomalous diffusion of random walk on random planar maps
type: Item
instance of: scholarly article
title: Anomalous diffusion of random walk on random planar maps
zbMATH Open document ID: 1471.60160
author: Ewain Gwynne
author: Tom Hutchcroft
publication date: 2020-09-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1807.01512
Mathematics Subject Classification ID: 60K50
Mathematics Subject Classification ID: 60J67
Mathematics Subject Classification ID: 60D05
zbMATH DE Number: 7250122
zbMATH Keywords: anomalous diffusion
zbMATH Keywords: \(\gamma\)-Liouville quantum gravity
zbMATH Keywords: uniform infinite planar triangulation
MaRDI profile type: Publication
OpenAlex ID: W3044551581
arXiv ID: 1807.01512
cites work: The scaling limit of random simple triangulations and random simple quadrangulations
cites work: Boundaries of planar graphs, via circle packings
cites work: Unimodular hyperbolic triangulations: circle packing and random walk
cites work: Processes on unimodular random networks
cites work: Growth and percolation on the uniform infinite planar triangulation
cites work: Uniform infinite planar triangulations
cites work: Random Fields and Geometry
cites work: Joint convergence of random quadrangulations and their cores
cites work: Markov chains, Riesz transforms and Lipschitz maps
cites work: Brownian Motion and Harmonic Analysis on Sierpinski Carpets
cites work: Q4946126
cites work: Ergodic theory on stationary random graphs
cites work: Simple random walk on the uniform infinite planar quadrangulation: Subdiffusivity via pioneer points
cites work: Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field
cites work: Natural parametrization of SLE: the Gaussian free field point of view
cites work: Bijective counting of Kreweras walks and loopless triangulations
cites work: Bijective counting of tree-rooted maps and shuffles of parenthesis systems
cites work: Diffusion in planar Liouville quantum gravity
cites work: An elementary approach to Gaussian multiplicative chaos
cites work: Random walk on the incipient infinite cluster for oriented percolation in high dimensions
cites work: The Brunn-Minkowski inequality in Gauss space
cites work: Recurrence of distributional limits of finite planar graphs
cites work: The hyperbolic Brownian plane
cites work: Basic properties of the infinite critical-FK random map
cites work: Indistinguishability of trees in uniform spanning forests
cites work: The Brownian plane
cites work: How fast planar maps get swallowed by a peeling process
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: Markov type and threshold embeddings
cites work: Liouville quantum gravity and KPZ
cites work: Heat kernel for Liouville Brownian motion and Liouville graph distance
cites work: Recurrence of planar graph limits
cites work: An almost sure KPZ relation for SLE and Brownian motion
cites work: A mating-of-trees approach for graph distances in random planar maps
cites work: A distance exponent for Liouville quantum gravity
cites work: Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for \(\kappa>8\)
cites work: Harmonic functions on mated-CRT maps
cites work: On the Riemann surface type of random planar maps
cites work: Liouville Brownian motion
cites work: Liouville Brownian motion and thick points of the Gaussian free field
cites work: Q3729757
cites work: Subdiffusive behavior of random walk on a random cluster
cites work: Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\)
cites work: An approximation of partial sums of independent RV's, and the sample DF. II
cites work: The Alexander-Orbach conjecture holds in high dimensions
cites work: Random walks on disordered media and their scaling limits. École d'Été de Probabilités de Saint-Flour XL -- 2010
cites work: Uniqueness and universality of the Brownian map
cites work: Discrete uniformizing metrics on distributional limits of sphere packings
cites work: Probability on trees and networks
cites work: Applications of a Planar Separator Theorem
cites work: The Brownian map is the scaling limit of uniform random plane quadrangulations
cites work: Imaginary geometry. I: Interacting SLEs
cites work: Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
cites work: On the Enumeration of Tree-Rooted Maps
cites work: Quasisymmetric uniformization and heat kernel estimates
cites work: Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
cites work: Gaussian multiplicative chaos and applications: a review
cites work: Q4120793
cites work: Gaussian free fields for mathematicians
cites work: Conformal weldings of random surfaces: SLE and the quantum gravity zipper
cites work: Quantum gravity and inventory accumulation

Anomalous diffusion of random walk on random planar maps (cites work)
cites work: A contour line of the continuum Gaussian free field

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cites work: Q4456607

Anomalous diffusion of random walk on random planar maps (cites work)
cites work: Multidimensional version of the results of Komlos, Major and Tusnady for vectors with finite exponential moments

Anomalous diffusion of random walk on random planar maps (DOI)
DOI: 10.1007/S00440-020-00986-7

Anomalous diffusion of random walk on random planar maps (published in)
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete