Theorems of Wolff–Denjoy type for semigroups of nonexpansive mappings in geodesic spaces

DOI10.1002/mana.202100404zbMath1529.37007OpenAlexW4377140423WikidataQ122499988 ScholiaQ122499988MaRDI QIDQ6074616

Andrzej Wiśnicki, Aleksandra Huczek

Publication date: 12 October 2023

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

Full work available at URL: https://doi.org/10.1002/mana.202100404

zbMATH Keywords

nonexpansive mappingPicard iterationone-parameter semigroupholomorphic dynamicsgeodesic spaceHilbert's projective metricWolff-Denjoy theoremKobayashi's distance

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamics in general topological spaces (37B02)

Cites Work

• Unnamed Item
• Theorems of Denjoy-Wolff type
• Wolff-Denjoy theorems in nonsmooth convex domains
• The Denjoy-Wolff theorem in \(\mathbb C^n\)
• Horospheres and iterates of holomorpic maps
• The Denjoy-Wolff theorem in the open unit ball of a strictly convex Banach space
• Non-expanding maps and Busemann functions
• Iteration of Contractions and Analytic Maps
• The dynamics of contractions
• SUBADDITIVE COCYCLES AND HOROFUNCTIONS
• Wolff–Denjoy theorems in geodesic spaces

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