Non-universality for first passage percolation on the exponential of log-correlated Gaussian fields

DOI10.1007/s00440-017-0811-zzbMath1428.60068arXiv1506.03293OpenAlexW2964208310WikidataQ115607564 ScholiaQ115607564MaRDI QIDQ1656548

Jian Ding, Fuxi Zhang

Publication date: 10 August 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03293

zbMATH Keywords

Gaussian free fieldfirst passage percolationlog-correlated Gaussian fields

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (9)

Tightness of Liouville first passage percolation for \(\gamma \in (0,2)\) ⋮ Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups ⋮ On the Liouville heat kernel for \(k\)-coarse MBRW ⋮ Subsequential scaling limits for Liouville graph distance ⋮ Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures ⋮ A distance exponent for Liouville quantum gravity ⋮ The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds ⋮ Liouville metric of star-scale invariant fields: tails and Weyl scaling ⋮ Heat kernel for Liouville Brownian motion and Liouville graph distance

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