On some new invariants for shift equivalence for shifts of finite type
Copyright policy )On some new invariants for shift equivalence for shifts of finite type
We introduce a new computable invariant for strong shift equivalence of shifts of finite type. The invariant is based on an invariant introduced by Trow, Boyle, and Marcus, but has the advantage of being readily computable. We summarize briefly a large-scale numerical experiment aimed at deciding strong shift equivalence for shifts of finite type given by irreducible $2\times 2$-matrices with entry sum less than 25, and give examples illustrating to power of the new invariant, i.e., examples where the new invariant can disprove strong shift equivalence whereas the other invariants that we use can not.
Revised version
- University of Copenhagen Denmark
- KOBENHAVNS UNIVERSITET Denmark
- University of Copenhagen Denmark
- University of copenhaguen Denmark
- University of Copenhagen Denmark
Class groups and Picard groups of orders, Algebra and Number Theory, Mathematics - Number Theory, Other algebras and orders, and their zeta and \(L\)-functions, Symbolic dynamics, Dynamical Systems (math.DS), Strong shift equivalence, Measure-preserving transformations, 11R65 11R11 11Y99 37B10, FOS: Mathematics, Number Theory (math.NT), Mathematics - Dynamical Systems, strong shift equivalence, Picard groups of orders
Class groups and Picard groups of orders, Algebra and Number Theory, Mathematics - Number Theory, Other algebras and orders, and their zeta and \(L\)-functions, Symbolic dynamics, Dynamical Systems (math.DS), Strong shift equivalence, Measure-preserving transformations, 11R65 11R11 11Y99 37B10, FOS: Mathematics, Number Theory (math.NT), Mathematics - Dynamical Systems, strong shift equivalence, Picard groups of orders
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