Horocyclic products of trees

DOI10.4171/JEMS/130zbMath1155.05009arXivmath/0601417OpenAlexW2068790504MaRDI QIDQ936156

Markus Neuhauser, Wolfgang Woess, Laurent Bartholdi

Publication date: 13 August 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601417

zbMATH Keywords

spectrumnormal formMarkov operatortreesgrowth functionhorocyclesrestricted wreath productDiestel-Leader graph

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Extensions, wreath products, and other compositions of groups (20E22) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (25)

Shannon's theorem for locally compact groups ⋮ Compactifications of horospheric products ⋮ Automorphisms of higher rank lamplighter groups ⋮ On the geometry of Cayley automatic groups ⋮ Metric properties of Diestel-Leader groups. ⋮ Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups. ⋮ Highly arc-transitive digraphs -- structure and counterexamples ⋮ On the asymmetry of stars at infinity ⋮ Constructing highly arc transitive digraphs using a direct fibre product ⋮ Brownian motion on treebolic space: escape to infinity ⋮ Higher rank lamplighter groups are graph automatic ⋮ The Dehn function of Baumslag's metabelian group. ⋮ Simulations and the lamplighter group ⋮ Geometry of the conjugacy problem in lamplighter groups ⋮ Sharply \(k\)-arc-transitive-digraphs: finite and infinite examples ⋮ Simple groups separated by finiteness properties ⋮ On the spectrum of lamplighter groups and percolation clusters ⋮ Simple groups and irreducible lattices in wreath products ⋮ Counting subgraphs in hyperbolic graphs with symmetry ⋮ Semidualities from products of trees ⋮ Conjugacy Length in Group Extensions ⋮ Self-similar groups of type \(FP_n\) ⋮ Reidemeister classes in lamplighter-type groups ⋮ A characterization of superreflexivity through embeddings of lamplighter groups ⋮ Coarse distinguishability of graphs with symmetric growth

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