The scaling limits of the minimal spanning tree and invasion percolation in the plane

DOI10.1214/17-AOP1252zbMath1426.60117arXiv1309.0269OpenAlexW2963310008MaRDI QIDQ1621448

Gábor Pete, Christophe Garban, Oded Schramm

Publication date: 8 November 2018

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0269

zbMATH Keywords

scaling limitHausdorff dimensionconformal invarianceinvasion percolationminimal spanning treecritical and near-critical percolation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Trees (05C05) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuum limits in quantum field theory (81T27) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items

Some toy models of self-organized criticality in percolation, Multisource invasion percolation on the complete graph, Models of random subtrees of a graph, Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes, Geometry of the minimal spanning tree of a random 3-regular graph, Liouville dynamical percolation, Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation, Near-critical spanning forests and renormalization

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