Elsevier

Journal of Complexity

Volume 8, Issue 3, September 1992, Pages 239-264
Journal of Complexity

Anosov endomorphisms on branched surfaces

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Abstract

Anosov endomorphisms on branched surfaces and their shift equivalence represent certain 2-dimensional hyperbolic attractors and their topological conjugacy. R. F. Williams conjectured that if the Anosov endomorphism is non-expanding, then the branch structure may be eliminated via shift equivalence. This paper verifies the conjecture under an additional assumption that the branch structure has no crossings.

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