Growth tightness for word hyperbolic groups.

DOI10.1007/s00209-002-0434-6zbMath1045.20035OpenAlexW1990774702MaRDI QIDQ1865581

Igor G. Lysenok, Goulnara N. Arzhantseva

Publication date: 27 March 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-002-0434-6

zbMATH Keywords

geodesicsword hyperbolic groupsfinitely generated groupsgrowth tightness

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Hyperbolic groups and nonpositively curved groups (20F67) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (19)

Central limit theorems for counting measures in coarse negative curvature ⋮ Growth tight actions of product groups ⋮ Growth tightness for groups with contracting elements ⋮ Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces. ⋮ Growth of periodic quotients of hyperbolic groups ⋮ Patterson-Sullivan measures and growth of relatively hyperbolic groups ⋮ Growth and cogrowth of normal subgroups of a free group ⋮ Counting problems in graph products and relatively hyperbolic groups ⋮ Entropy sensitivity of languages defined by infinite automata, via Markov chains with forbidden transitions ⋮ The rates of growth in a hyperbolic group ⋮ Entropy and drift in word hyperbolic groups ⋮ Minimisers of the Allen-Cahn equation and the asymptotic plateau problem on hyperbolic groups ⋮ Purely exponential growth of cusp-uniform actions ⋮ On the growth of quotients of Kleinian groups ⋮ Asymptotic properties of coverings in negative curvature ⋮ Attainability of the exponent of exponential growth in free products of cyclic groups ⋮ Growth of quasiconvex subgroups ⋮ Growth tightness of surface groups ⋮ Growth and ergodicity of context-free languages

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