Topological entropy of m-fold maps on trees

Details Topological entropy of m-fold maps on trees Topological entropy of m-fold maps on trees

2006-09-11

arxiv.org/abs/math/0609299v1

Mathematics

Dynamical Systems

34 pages, to appear in Ergodic Theory and Dynamical Systems

Scientific paper

We establish the analogue for maps on trees of the result established in two
papers by the first author for interval maps, that a continuous self- map for
which all but countably many points have at least m preimages (and none have
less than two) has topological entropy bounded below by log m.

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