Normal sequences with given limits of multiple ergodic averages

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Lingmin Liao
Universit´e Paris-Est Cr´eteil. LAMA UMR 8050, CNRS.
https://orcid.org/0000-0001-8763-1582
Michal Rams
Polish Academy of Sciences (Varsóvia, Polonia).Institute of Mathematics.
https://orcid.org/0000-0002-9447-9504

We are interested in the set of normal sequences in the space {0, 1} N with a given frequency of the pattern 11 in the positions k, 2k. The topological entropy of such sets is determined.

Paraules clau
normal sequences, topological entropy, multiple ergodic averages, Hausdorff dimension

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Liao, Lingmin; and Rams, Michal. “Normal sequences with given limits of multiple ergodic averages”. Publicacions Matemàtiques, vol.VOL 65, no. 1, pp. 271–290, https://raco.cat/index.php/PublicacionsMatematiques/article/view/383983.
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