The degrees of onesided resolvingness and the limits of onesided resolving directions for endomorphisms and automorphisms of the shift

Details The degrees of onesided resolvingness and the limits of onesided resolving directions for endomorphisms and automorphisms of the shift The degrees of onesided resolvingness and the limits of onesided resolving directions for endomorphisms and automorphisms of the shift

2010-01-13

arxiv.org/abs/1001.2157v2

Mathematics

Dynamical Systems

56 pages; statements corrected in page 2 (line 11 from the bottom) and page 4, small mistakes corrected

Scientific paper

We introduce the notions of the degrees of onesided resolvingness and the limits of onesided resolving directions for onto endomorphisms and automorphisms of subshifts, and develop a theory which illuminates the fundamental structure of overall dynamics of onto endomorphisms and automorphisms of subshifts. Onto endomorphisms of transitive topological Markov shifts and automorphisms of topological Markov shifts are treated in detail.

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