Many intermingled basins in dimension 3

Abstract : We construct a diffeomorphism of $\mathbb{T}^3$ admitting any finite or countable number of physical measures with intermingled basins. The examples are partially hyperbolic with splitting $T\mathbb{T}^3 = E^{cs} \oplus E^u$ and can be made volume hyperbolic and topologically mixing.
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Contributor : Imb - Université de Bourgogne <>
Submitted on : Monday, May 28, 2018 - 1:56:17 PM
Last modification on : Friday, February 22, 2019 - 11:16:45 AM

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Christian Bonatti, Rafael Potrie. Many intermingled basins in dimension 3. Israël Journal of Mathematics, The Hebrew University Magnes Press, 2018, 224 (1), pp.293-314. ⟨10.1007/s11856-018-1648-6⟩. ⟨hal-01801340⟩



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