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(2004 / vol.7 / no.2)
Reversals On SFT's
Jungseob Lee
Pages. 119-125     



Reversals of topological dynamical systems are homeomorphisms that are skew-commuting with the underlying actions. In this article we consider reversals for subshits of finite type and their properties. We represent such reversals in terms of transition matrices and permutation matrices. Also found are necessary and/or sufficient conditions for ann SFT to admit reversals of given finite order. Reversals of order 2 are treated first and the results are generalized to reversals of any finite order.



1. Introduction and preliminaries
2. Representation of reversals in SFTs
3. Existence of a reversal
References



reversal, reversible system, subshift of finite type.



11B68, 11M06, 33E20