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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2015, Volume 17, Number 4, Pages 24–30
(Mi svmo562)
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Mathematics
On semiconjugacy of Williams endomorphism and nonsingular circle endomorphism
N. V. Isaenkovaa, E. V. Zhuzhomab, G. V. Osipovc
a MIA academy of Nizhnii Novgorod
b Institute for Statistical Studies and Economics of Knowledge, National Research University "Higher School of Economics"
c Institute of Informational Technologies, Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod
Abstract:
In the paper, we proof that Williams endomorphism of one-dimensional branched manifold with two branched points semiconjugates with the nonsingular circle endomorphism of degree three. As a consequence, one gets that the non-wandering set of the Williams endomorphism contains Cantor set.
Keywords:
semiconjugacy, one-dimensional branched manifold, non-wandering set, nonsingular endomorphism, basic set.
Received: 11.12.2015
Linking options:
https://www.mathnet.ru/eng/svmo562
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| Abstract page: | 140 | | References: | 55 |
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