most citedInvariants for the Smale space associated to an expanding endomorphism of a flat manifold

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math.OA2025

Synchronizing Dynamical Systems: Finitely presented systems and Ruelle algebras

Robin J. Deeley, Andrew M. Stocker

The main goals of the present paper are to determine the structure of the -algebras associated to a finitely presented system and to develop the basic theory of the Ruelle…

math.OA2022

Synchronizing Dynamical Systems: Shift Spaces and -Theory

Robin J Deeley, Andrew M Stocker

Building on our previous work, we give a thorough presentation of the techniques developed for synchronizing dynamical systems in the special case of synchronizing shift spaces. Fo…

math.OA2022

Synchronizing Dynamical Systems: their groupoids and -algebras

Robin J. Deeley, Andrew M. Stocker

Building on work of Ruelle and Putnam in the Smale space case, Thomsen defined the homoclinic and heteroclinic -algebras for an expansive dynamical system. In this paper we…