Normal sequences with given limits of multiple ergodic averages

DOI10.5565/PUBLMAT6512108zbMath1480.37012arXiv1904.12143OpenAlexW3107910998WikidataQ114014610 ScholiaQ114014610MaRDI QIDQ2232005

Michał Rams, Lingmin Liao

Publication date: 1 October 2021

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12143

zbMATH Keywords

Hausdorff dimensiontopological entropynormal sequencesmultiple ergodic averages

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80) Topological entropy (37B40) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Relations between ergodic theory and number theory (37A44)

Cites Work

• Unnamed Item
• Multifractal analysis of some multiple ergodic averages
• Subsequences of normal sequences
• A Billingsley type theorem for Bowen entropy
• Level sets of multiple ergodic averages
• Dimension spectrum for a nonconventional ergodic average
• A NONCONVENTIONAL STRONG LAW OF LARGE NUMBERS AND FRACTAL DIMENSIONS OF SOME MULTIPLE RECURRENCE SETS
• Hausdorff dimension for fractals invariant under multiplicative integers
• Topological Entropy for Noncompact Sets
• Normal numbers with digit dependencies
• Probability Inequalities for Sums of Bounded Random Variables

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