Some examples of sequence entropy as an isomorphism invariant

Dekking, F. M.

doi:10.1090/S0002-9947-1980-0561831-2

Some examples of sequence entropy as an isomorphism invariant
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Trans. Amer. Math. Soc. 259 (1980), 167-183 Request permission

Abstract:

With certain geometrically diverging sequences A and the shift T on dynamical systems arising from substitutions we associate a Markov shift S such that the A-entropy of T equals the usual entropy of S. We present examples to demonstrate the following results. Sequence entropy can distinguish between an invertible ergodic transformation and its inverse. A-entropy does not depend monotonically on A. The variational principle for topological sequence entropy need not hold.

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Isomorphism of some Morse dynamical systems