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Title of Journal: Sci China Math

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Abbravation: Science China Mathematics

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Science China Press

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1869-1862

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On multitransitivity with respect to a vector

Authors: ZhiJing Chen Jian Li Jie Lü
Publish Date: 2014/03/05
Volume: 57, Issue: 8, Pages: 1639-1648
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Abstract

A topological dynamical system X f is said to be multitransitive if for every n ∈ ℕ the system X n f × f 2 × … × f n is transitive We introduce the concept of multitransitivity with respect to a vector and show that multitransitivity can be characterized by the hitting time sets of open sets answering a question proposed by Kwietniak and Oprocha 2012 We also show that multitransitive systems are LiYorke chaotic

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