Percolation probability and critical exponents for site percolation on the UIPT

DOI10.4153/s0008414x22000554zbMath1525.05190arXiv2201.11920OpenAlexW4306928919MaRDI QIDQ6057820

Laurent Ménard

Publication date: 26 October 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11920

zbMATH Keywords

critical exponentspercolationtriangulationsrandom planar mapsUIPT

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Exact enumeration problems, generating functions (05A15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Enumeration in graph theory (05C30) Combinatorial probability (60C05) Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) Asymptotic enumeration (05A16) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Cites Work

• Unnamed Item
• Unnamed Item
• The peeling process of infinite Boltzmann planar maps
• Percolation on uniform infinite planar maps
• Percolation on random triangulations and stable looptrees
• Universal aspects of critical percolation on random half-planar maps
• Counting surfaces. CRM Aisenstadt chair lectures
• The dimension of the SLE curves
• Uniform infinite planar triangulations
• Growth and percolation on the uniform infinite planar triangulation
• The geometry of a critical percolation cluster on the UIPT
• Planar maps as labeled mobiles
• Duality of random planar maps via percolation
• Percolations on random maps. I: Half-plane models
• More on theO(n) model on random maps via nested loops: loops with bending energy
• A recursive approach to theO(n) model on random maps via nested loops
• A Boltzmann Approach to Percolation on Random Triangulations
• Loop models on random maps via nested loops: the case of domain symmetry breaking and application to the Potts model
• Simple peeling of planar maps with application to site percolation
• Local convergence of large random triangulations coupled with an Ising model
• Pivotal, cluster, and interface measures for critical planar percolation
• Convergence of uniform triangulations under the Cardy embedding

This page was built for publication: Percolation probability and critical exponents for site percolation on the UIPT