## A Remark on Topological Sequence Entropy

- Xinxing Wu
- I. J. Bifurcation and Chaos
- 2017

@article{Wu2016ChaosOT, title={Chaos of Transformations Induced Onto the Space of Probability Measures}, author={Xinxing Wu}, journal={I. J. Bifurcation and Chaos}, year={2016}, volume={26}, pages={1-12} }

- Published 2016 in I. J. Bifurcation and Chaos
DOI:10.1142/S0218127416502278

For a dynamical system (X, T ), let (M(X), TM ) be its induced dynamical system on the space of Borel probability measures with weak*-topology. It is proved that (M(X), TM ) is a-transitive (resp., exact, uniformly rigid) if and only if (X, T ) is weakly mixing and a-transitive (resp., exact, uniformly rigid), where a is an n-vector of integers. Moreoverâ€¦Â CONTINUE READING

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