On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms
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Publication:496813
DOI10.1007/s11512-014-0208-5zbMath1358.37073OpenAlexW1973157263MaRDI QIDQ496813
Publication date: 22 September 2015
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11512-014-0208-5
Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving maps of the interval (37E05) Rate of growth of arithmetic functions (11N56)
Related Items (12)
Quasi-graphs, zero entropy and measures with discrete spectrum ⋮ Dendrites and measures with discrete spectrum ⋮ Oscillating sequences, MMA and MMLS flows and Sarnak’s conjecture ⋮ Möbius orthogonality of sequences with maximal entropy ⋮ Zero entropy continuous interval maps and MMLS-MMA property ⋮ Möbius orthogonality for the Zeckendorf sum-of-digits function ⋮ Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures ⋮ On dynamics of graph maps with zero topological entropy ⋮ A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ Hausdorff dimension of a class of three-interval exchange maps ⋮ On certain aspects of the M\"obius randomness principle
Cites Work
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- The Möbius function is strongly orthogonal to nilsequences
- On the Vere-Jones classification and existence of maximal measures for countable topological Markov chains.
- Numerical methods for large-scale nonlinear optimization
- Chaotic Functions with Zero Topological Entropy
- Interior Methods for Nonlinear Optimization
- Disjointness of Moebius from Horocycle Flows
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