Abstract
In this paper, we establish Brin–Katok local entropy and Katok \(\delta \) entropy formula of random \({\mathbb {Z}}^2\) transformations on a non-compact space.
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Acknowledgements
The first author was supported by National Natural Science Foundation of China (No. 11871394), Israel Science Foundation (No. 1289/17) and Natural Science Foundation of Shaanxi Provincial Department of Education (No. 17JK0755). He would also like to thank Professor Jon Aaronson and the School of mathematical sciences of Tel Aviv University for hospitality during his visit there.
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Li, Z., Tang, D. Remarks on Metric Entropy of Random \({\mathbb {Z}}^2\) Actions on a Non-compact Space. Qual. Theory Dyn. Syst. 18, 405–412 (2019). https://doi.org/10.1007/s12346-018-0292-1
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DOI: https://doi.org/10.1007/s12346-018-0292-1