Fixed-point property of random groups.

DOI10.1007/s10455-008-9139-3zbMath1236.20046OpenAlexW2044551273MaRDI QIDQ2391010

Shin Nayatani, Hiroyasu Izeki, Takefumi Kondo

Publication date: 24 July 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9139-3

zbMATH Keywords

finitely generated groupsharmonic mapsfixed-point theoremsKazhdan constantisometric actionsrandom groupsHadamard spacesrandom-group actions

Mathematics Subject Classification ID

Geometric group theory (20F65) Harmonic maps, etc. (58E20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Probabilistic methods in group theory (20P05)

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Cites Work

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• Gradient flows on nonpositively curved metric spaces and harmonic maps
• Random walk in random groups.
• Property (T) and Kazhdan constants for discrete groups
• Rigidity of commensurators and irreducible lattices
• Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
• Actions de groupes de Kazhdan sur le cercle
• Weil-Petersson metric on the universal Teichmüller space
• Generalized harmonic maps and representations of discrete groups

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