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arXiv · 1302.6929

Nonwandering sets of interval skew products

Victor Kleptsyn·Denis Volk
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Abstract

In this paper we consider a class of skew products over transitive subshifts of finite type with interval fibers. For a natural class of 1-parameter families we prove that for all but countably many parameter values the nonwandering set (in particular, the union of all attractors and repellers) has zero measure. As a consequence, the same holds for a residual subset of the space of skew products.

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Victor Kleptsyn, Denis Volk. 2014-05-27. Nonwandering sets of interval skew products. https://doi.org/10.1088/0951-7715%2F27%2F7%2F1595

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