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Titlebook: Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics; CIRM Jean-Morlet Cha Sébastien Ferenczi,Joan

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Sarnak’s Conjecture Implies the Chowla Conjecture Along a SubsequenceWe show that the Möbius disjointess of zero entropy dynamical systems implies the existence of an increasing sequence of positive integers along which the Chowla conjecture on autocorrelations of the Möbius function holds.
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https://doi.org/10.1007/978-981-15-3761-5le homeomorphism on a topological space. While it is traditionally considered in nonlinear dynamics, where the space is simple but the map is complicated, it has an interesting counterpart in symbolic dynamics, where the map is simple but the space is not. Moreover, there is an interesting extension
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978-3-319-74907-5Springer International Publishing AG, part of Springer Nature 2018
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Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics978-3-319-74908-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
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https://doi.org/10.1007/978-3-319-74908-2Analytic Number Theory; Ergodic Theory; Equidistribution; Homogenous Dynamics; Lagrange Spectrum; Moebius
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