Positive topological entropy implies chaos DC2

By Tomasz Downarowicz. 2011

105 citations recorded by the source corpus.

Using methods of ergodic theory we prove as in the title.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fa9107fe9ed8726c2c354e9d39890632ca8a0573

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jian Li
2. Siming Tu
3. Xiangdong Ye
4. Felipe Garc'ia-Ramos
5. Wen Huang
6. Eli Glasner

In Mathematical Physics

1. Jian Li
2. Siming Tu
3. Xiangdong Ye
4. Felipe Garc'ia-Ramos
5. Wen Huang
6. Guohua Zhang
7. Eli Glasner
8. Hanfeng Li

Citations in the corpus

• Recent development of chaos theory in topological dynamics (2015, background): “9 is the excellent partition constructed in [16, Lemma 4], which is different from the one used in [21].”
• Mean equicontinuity and mean sensitivity (2013, background): “We note that studying dynamical properties in the mean sense is an interesting topic, see [25] for the research on mean distality and [6, 18] for the investigation on mean Li–Yorke chaos.”