Coarse geometry and randomness. École d'Été de Probabilités de Saint-Flour XLI -- 2011

DOI10.1007/978-3-319-02576-6zbMath1282.05001OpenAlexW594205391MaRDI QIDQ390823

Itai Benjamini

Publication date: 9 January 2014

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

Full work available at URL: https://doi.org/10.1007/978-3-319-02576-6

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Planar graphs; geometric and topological aspects of graph theory (05C10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Random walks on graphs (05C81)

Related Items (16)

On covers of graphs by Cayley graphs ⋮ Percolation and isoperimetry on roughly transitive graphs ⋮ Sub-tree counts on hyperbolic random geometric graphs ⋮ Hyperbolicity vs. amenability for planar graphs ⋮ Surviving ends in Bernoulli percolation on graphs roughly isometric to a tree ⋮ Local-to-global-rigidity of lattices in \(SL_n(\mathbb{K})\) ⋮ Random walk speed is a proper function on Teichmüller space ⋮ Asymptotic entropy of the ranges of random walks on discrete groups ⋮ On the structure of random graphs with constant \(r\)-balls ⋮ Locally infinite graphs and symmetries ⋮ Amenability of Groups and G-Sets ⋮ Mixing time bounds via bottleneck sequences ⋮ Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs ⋮ Planar stochastic hyperbolic triangulations ⋮ Quantum ergodicity on graphs: from spectral to spatial delocalization ⋮ Asymptotics for 2D critical and near-critical first-passage percolation

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