SELF-SIMILAR INVERSE SEMIGROUPS AND SMALE SPACES

DOI10.1142/S0218196706003153zbMath1173.37008MaRDI QIDQ3421598

Volodymyr V. Nekrashevych

Publication date: 7 February 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

inverse semigroupshyperbolic dynamicsPenrose tilingsadic transformationsSmale spacesself-similar semigroupsspace of tilings

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Inverse semigroups (20M18) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (8)

On the complexity of the word problem for automaton semigroups and automaton groups ⋮ Inverse semigroups associated with one-dimensional generalized solenoids ⋮ Dynamics of polynomial diffeomorphisms of \(\mathbb {C}^2\): combinatorial and topological aspects ⋮ Hyperbolic groupoids and duality ⋮ Automaton semigroups and groups: on the undecidability of problems related to freeness and finiteness ⋮ Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). III: Iterated monodromy groups ⋮ Extensions of amenable groups by recurrent groupoids ⋮ On the structure theory of partial automaton semigroups

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