Upper Bounds on Liouville First‐Passage Percolation and Watabiki's Prediction
From MaRDI portal
Publication:5204885
DOI10.1002/cpa.21846zbMath1442.60098arXiv1610.09998OpenAlexW3099494430WikidataQ127820647 ScholiaQ127820647MaRDI QIDQ5204885
Publication date: 5 December 2019
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09998
Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (27)
Tightness of Liouville first passage percolation for \(\gamma \in (0,2)\) ⋮ Geodesics and metric ball boundaries in Liouville quantum gravity ⋮ KPZ formulas for the Liouville quantum gravity metric ⋮ Brownian loops and the central charge of a Liouville random surface ⋮ Subsequential scaling limits for Liouville graph distance ⋮ Liouville quantum gravity with matter central charge in (1, 25): a probabilistic approach ⋮ Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures ⋮ Tightness of supercritical Liouville first passage percolation ⋮ Correlation length of the two-dimensional random field Ising model via greedy lattice animal ⋮ Introduction to the Liouville quantum gravity metric ⋮ Nesting statistics in the \(O(n)\) loop model on random planar maps ⋮ Anomalous diffusion of random walk on random planar maps ⋮ Geometric and spectral properties of causal maps ⋮ Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\) ⋮ A distance exponent for Liouville quantum gravity ⋮ The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds ⋮ Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity ⋮ Bounds for distances and geodesic dimension in Liouville first passage percolation ⋮ Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field ⋮ Random walk on random planar maps: spectral dimension, resistance and displacement ⋮ Liouville metric of star-scale invariant fields: tails and Weyl scaling ⋮ The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity ⋮ The dimension of the boundary of a Liouville quantum gravity metric ball ⋮ A mating-of-trees approach for graph distances in random planar maps ⋮ Heat kernel for Liouville Brownian motion and Liouville graph distance ⋮ Comparison of discrete and continuum Liouville first passage percolation ⋮ Critical behaviour of loop models on causal triangulations
This page was built for publication: Upper Bounds on Liouville First‐Passage Percolation and Watabiki's Prediction