Planar Maps, Random Walks and Circle Packing

DOI10.1007/978-3-030-27968-4zbMath1471.60007OpenAlexW2907389849MaRDI QIDQ5194779

Asaf Nachmias

Publication date: 17 September 2019

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-27968-4

zbMATH Keywords

electric networkcircle packingrandom walkplanar maprecurrence random walk

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Circle packings and discrete conformal geometry (52C26)

Related Items (8)

The local limit of uniform spanning trees ⋮ Recurrence of a weighted random walk on a circle packing with parabolic carrier ⋮ Infinite stable Boltzmann planar maps are subdiffusive ⋮ Random walks on mated-CRT planar maps and Liouville Brownian motion ⋮ Non-intersection of transient branching random walks ⋮ The Dirichlet problem for orthodiagonal maps ⋮ Invariant embeddings of unimodular random planar graphs ⋮ Some criteria for circle packing types and combinatorial Gauss-Bonnet Theorem

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