Metric spaces of arbitary finitely-generated scaling group

DOI10.1512/IUMJ.2024.73.9918MaRDI QIDQ6631920

Daniel N. Levitin

Publication date: 3 November 2024

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Geometric group theory (20F65) Lipschitz and coarse geometry of metric spaces (51F30)

Cites Work

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• Coarse differentiation of quasi-isometries. I: Spaces not quasi-isometric to Cayley graphs
• Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups.
• Coarse differentiation and quasi-isometries of a class of solvable Lie groups. I.
• Large scale geometry
• Quasi-isometries between groups with infinitely many ends
• Coarse differentiation of quasi-isometries. II: Rigidity for Sol and lamplighter groups
• Measure-scaling quasi-isometries
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• Quasi-flats and rigidity in higher rank symmetric spaces
• Non-rectifiable Delone sets in SOL and other solvable groups
• Asymptotic geometry of lamplighters over one-ended groups

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