Dimension Groups and Dynamical Systems - Archive ouverte HAL
Ouvrages Année : 2022

Dimension Groups and Dynamical Systems

Résumé

We give a description of the link between topological dynamical systems and their dimension groups. The focus is on minimal systems and, in particular, on substitution shifts. We describe in detail the various classes of systems including Sturmian shifts and interval exchange shifts. This is a preliminary version of a book which will be published by Cambridge University Press. Any comments are of course welcome.

Dates et versions

hal-03746074 , version 1 (04-08-2022)

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Fabien Durand, Dominique Perrin. Dimension Groups and Dynamical Systems. Cambridge University Press, 196, 2022, Cambridge Studies in Advanced Mathematics, ⟨10.1017/9781108976039⟩. ⟨hal-03746074⟩
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