Arbitrarily slow decay in the Möbius disjointness conjecture
Arbitrarily slow decay in the Möbius disjointness conjecture
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Publisher
Cambridge, UK: Cambridge University Press
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Language
English
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Publisher
Cambridge, UK: Cambridge University Press
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Contents
Sarnak’s Möbius disjointness conjecture asserts that for any zero entropy dynamical system
$(X,T)$
,
$({1}/{N})\! \sum _{n=1}^{N}\! f(T^{n} x) \mu (n)= o(1)$
for every
$f\in \mathcal {C}(X)$
and every
$x\in X$
. We construct examples showing that this
$o(1)$
can go to zero arbitrarily slowly. In fact, our methods yield...
Alternative Titles
Full title
Arbitrarily slow decay in the Möbius disjointness conjecture
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Author / Creator
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Record Identifier
TN_cdi_proquest_journals_2847158925
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2847158925
Other Identifiers
ISSN
0143-3857
E-ISSN
1469-4417
DOI
10.1017/etds.2022.61
