Counter examples to invariant circle packing

DOI10.1214/21-AIHP1234zbMath1498.52036arXiv1912.12862OpenAlexW2997627413MaRDI QIDQ2083862

Ali Khezeli

Publication date: 11 October 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12862

zbMATH Keywords

circle packingunimodular random graphsstationary point processpoint-stationary point process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Special processes (60K99) Circle packings and discrete conformal geometry (52C26)

Cites Work

• Unimodular hyperbolic triangulations: circle packing and random walk
• Asymptotic fringe distributions for general families of random trees
• Invariant transports of stationary random measures and mass-stationarity
• Limit theorems for products of positive random matrices
• Uniform infinite planar triangulations
• Hyperbolic and parabolic packings
• Recurrence of planar graph limits
• Invariant embeddings of unimodular random planar graphs
• Unimodular Hausdorff and Minkowski dimensions
• One-ended spanning trees in amenable unimodular graphs
• Hyperbolic and parabolic unimodular random maps
• Fixed points, Koebe uniformization and circle packings
• Processes on unimodular random networks
• The Canophy graph and level statistics for random operators on trees
• Random non-crossing plane configurations: A conditioned Galton-Watson tree approach
• Triangulating the Circle, at Random
• Eternal Family Trees and dynamics on unimodular random graphs
• Shift-coupling of random rooted graphs and networks

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