Topological entropy of $m$-fold maps on trees
نویسندگان
چکیده
منابع مشابه
TOPOLOGICAL ENTROPY OF m-FOLD MAPS
We investigate the relation between preimage multiplicity and topological entropy for continuous maps. An argument originated by Misiurewicz and Przytycki shows that if every regular value of a C1 map has at least m preimages then the topological entropy of the map is at least log m. For every integer, there exist continuous maps of the circle with entropy zero for which every point has at leas...
متن کاملSe p 20 06 TOPOLOGICAL ENTROPY OF m - fold MAPS ON TREES
We establish the analogue for maps on trees of the result established in [Bob02, Bob05] for interval maps, that a continuous selfmap for which all but countably many points have at least m preimages (and none have less than two) has topological entropy bounded below by logm.
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We investigate the topological entropy of a green interval map. Defining the complexity we estimate from above the topological entropy of a green interval map with a given complexity. The main result of the paper — stated in Theorem 0.2 — should be regarded as a completion of results of [4]. 0. Introduction and main result The purpose of this paper is to evaluate the topological entropy of gree...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2007
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385706000861