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- W4384037121 abstract "Abstract Inspired by a twist map theorem of Mather. we study recurrent invariant sets that are ordered like rigid rotation under the action of the lift of a bimodal circle map g to the k -fold cover. For each irrational in the rotation set’s interior, the collection of the k -fold ordered semi-Denjoy minimal sets with that rotation number contains a $(k-1)$ -dimensional ball with the weak topology on their unique invariant measures. We also describe completely their periodic orbit analogs for rational rotation numbers. The main tool used is a generalization of a construction of Hedlund and Morse that generates symbolic analogs of these k -fold well-ordered invariant sets." @default.
- W4384037121 created "2023-07-13" @default.
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- W4384037121 date "2023-07-12" @default.
- W4384037121 modified "2023-09-23" @default.
- W4384037121 title "On the abundance of <i>k</i>-fold semi-monotone minimal sets in bimodal circle maps" @default.
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- W4384037121 doi "https://doi.org/10.1017/etds.2023.46" @default.
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