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Mathematics
Set of definitely attained values of the topological entropy of continuous mappings of the Cantor set
A. N. Vetokhinab a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University
Abstract:
It is established that in any neighborhood of each continuous mapping of a Cantor perfect set there is a mapping with a given topological entropy.
Key words:
topological entropy, symbolic dynamics.
Received: 07.02.2020
Citation:
A. N. Vetokhin, “Set of definitely attained values of the topological entropy of continuous mappings of the Cantor set”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 3, 35–40; Moscow University Mathematics Bulletin, 78:3 (2023), 144–149
Linking options:
https://www.mathnet.ru/eng/vmumm4538 https://www.mathnet.ru/eng/vmumm/y2023/i3/p35
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Statistics & downloads: |
Abstract page: | 77 | Full-text PDF : | 52 | References: | 18 |
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