Iterated Minkowski sums, horoballs and north-south dynamics

DOI10.4171/GGD/670MaRDI QIDQ2694833

Tom Meyerovitch, Jeremias Epperlein

Publication date: 4 April 2023

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09221

zbMATH Keywords

amenabilityMinkowski sumMinkowski productabstract convexity structuremaximum cellular automaton

Mathematics Subject Classification ID

Geometric group theory (20F65) Lattices and convex bodies (number-theoretic aspects) (11H06) Dynamical aspects of cellular automata (37B15) Symbolic dynamics (37B10)

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Cites Work

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• Horofunctions on graphs of linear growth
• Handbook of Hilbert geometry
• The action of a nilpotent group on its horofunction boundary has finite orbits.
• Almost convex groups
• On convergence of configurations
• Dynamically simple homeomorphisms of the Cantor set
• Group \(C^*\)-algebras as compact quantum metric spaces
• On pointwise periodicity in tilings, cellular automata, and subshifts
• Frobenius problem and dead ends in integers
• Algebraic Proof for the Geometric Structure of Sumsets
• On groups with full Banach mean value
• Bitopological Spaces
• On recurrence in zero dimensional flows
• SOME REMARKS ON DEPTH OF DEAD ENDS IN GROUPS
• Riemann Surfacese and Related Topics (AM-97)
• Measures of the non-convexity of sets and the Shapley–Folkman–Starr theorem
• On Quasi-Metric Spaces
• Deep pockets in lattices and other groups
• Horoball Hulls and Extents in Positive Definite Space
• Busemann points of infinite graphs
• BUSEMANN POINTS OF ARTIN GROUPS OF DIHEDRAL TYPE