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Article Dans Une Revue Nonlinearity Année : 2014

Nonwandering sets of interval skew products

Denis Volk
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Résumé

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.

Dates et versions

hal-00829789 , version 1 (03-06-2013)

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Victor A. Kleptsyn, Denis Volk. Nonwandering sets of interval skew products. Nonlinearity, 2014, 27 (7), 7 p. ⟨10.1088/0951-7715/27/7/1595⟩. ⟨hal-00829789⟩
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