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- W4289388908 abstract "We consider a certain two-parameter family of automorphisms of the affine plane over a complete, locally compact non-Archimedean field. Each of these automorphisms admits a chaotic attractor on which it is topologically conjugate to a full two-sided shift map, and the attractor supports a unit Borel measure which describes the distribution of the forward orbit of Haar-almost all points in the basin of attraction. We also compute the Hausdorff dimension of the attractor, which is non-integral." @default.
- W4289388908 created "2022-08-02" @default.
- W4289388908 creator A5075479097 @default.
- W4289388908 date "2018-10-15" @default.
- W4289388908 modified "2023-09-26" @default.
- W4289388908 title "Attractors associated to a family of hyperbolic $p$-adic plane automorphisms" @default.
- W4289388908 doi "https://doi.org/10.48550/arxiv.1810.06708" @default.
- W4289388908 hasPublicationYear "2018" @default.
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