On Möbius disjointness for infinite measure-preserving transformations

Asymptotic results on arithmetic functions (11N37) General groups of measure-preserving transformations and dynamical systems (37A15) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Nonsingular (and infinite-measure preserving) transformations (37A40) Relations between ergodic theory and number theory (37A44)

Cites Work

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On the correlation of the Moebius function with rank-one systems
On spectral disjointness of powers for rank-one transformations and Möbius orthogonality
On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms
Weakly mixing and rigid rank-one transformations preserving an infinite measure
An ergodic theorem with large normalising constants
Rank-one weak mixing for nonsingular transformations
Automatic sequences fulfill the Sarnak conjecture
Sarnak's conjecture: what's new
Weak mixing for infinite measure invertible transformations
Möbius disjointness for interval exchange transformations on three intervals
Hausdorff dimension of a class of three-interval exchange maps
Ergodic properties of square-free numbers
Möbius disjointness for analytic skew products
On Möbius orthogonality for subshifts of finite type with positive topological entropy
0-1 sequences of the Thue-Morse type and Sarnak’s conjecture
Odometers and Toeplitz systems revisited in the context of Sarnak's conjecture
Poisson suspensions and entropy for infinite transformations
Partially bounded transformations have trivial centralizers
On certain aspects of the M\"obius randomness principle
Almost Full Entropy Subshifts Uncorrelated to the Möbius Function
Infinite measure preserving transformations with “mixing”
Topological Entropy
Weakly Wandering Sequences in Ergodic Theory
Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
Entropy of conservative transformations
Weakly Wandering Sets and Invariant Measures
ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II)
Arithmetical Pattern Problems Relating to Divisibility by r th Powers^*
Double ergodicity of nonsingular transformations and infinite measure-preserving staircase transformations

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