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arXiv math/0302354math.DS
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一维带洞映射的加权揉化理论

Weighted kneading theory of unidimensional maps with holes

J. Leonel Rocha, J. Sousa Ramos

摘要:

本文的目的是提出一个一维带洞映射的加权揉化理论。我们考虑Milnor和Thurston的揉面理论的扩展,以扩大不连续的地图与洞,并在正式的幂级数中引入重量。这种方法使我们能够得到明确的计算技术的拓扑熵,豪斯多夫维数和逃逸率。

英文摘要:

The purpose of this paper is to present a weighted kneading theory for unidimensional maps with holes. We consider extensions of the kneading theory of Milnor and Thurston to expanding discontinuous maps with holes and introduce weights in the formal power series. This method allows us to derive techniques to compute explicitly the topological entropy, the Hausdorff dimension and the escape rate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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