Entropy, Horseshoe and Katok conjecture
报告专家: 黄文教授 (中国科学技术大学)
报告时间:2022年7月21日(周四)3:30-4:30
报告地点:腾讯会议号923-2493-5941 密码 0718
Abstract. In this talk, we will introduce weak Horseshoe and semi-horseshoe. We
will review some progress about weak horseshoe, semi-Horseshoe and Katok conjecture. Particularly,
• For random compact set, Positive (fiber) entropy implies (fiber) weak Horseshoe.
• The existence of semi-horseshoes for partially hyperbolic diffeomorphisms.
• Katok conjecture holds for for an affine transformation on a compact homogeneous space.
This based on joint works with Prof. Li, Lu, Xu, Ye
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