A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled
DOI10.1007/s12346-023-00941-6arXiv2012.14354MaRDI QIDQ6198604
El Houcein El Abdalaoui, Joseph Devianne
Publication date: 23 February 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.14354
Möbius functiondiscrete spectrum\(\omega\)-limit setdendritesingular spectrumendpointsLiouville functionMöbius disjointness conjecture of Sarnak
Continua theory in dynamics (37B45) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Low-dimensional dynamical systems (37E99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Li-Yorke chaos for dendrite maps with zero topological entropy and \(\omega\)-limit sets
- An averaged form of Chowla's conjecture
- Dynamics in one dimension
- Möbius disjointness for models of an ergodic system and beyond
- Möbius disjointness for topological models of ergodic systems with discrete spectrum
- Group actions on treelike compact spaces
- Dynamical entropy in Banach spaces
- Chaos on the Interval
- Pointwise Compact Sets of Baire-Measurable Functions
- Residual entropy, conditional entropy and subshift covers
- Tame systems and scrambled pairs under an Abelian group action
- Chaotic Functions with Zero Topological Entropy
- Topological Sequence Entropy
- Null systems and sequence entropy pairs
- Möbius disjointness conjecture for local dendrite maps
- Disjointness of Moebius from Horocycle Flows
- Equicontinuity and Li–Yorke pairs of dendrite maps
- Quasi-graphs, zero entropy and measures with discrete spectrum
- AN EXTENSION OF THE BOURGAIN–SARNAK–ZIEGLER THEOREM WITH MODULAR APPLICATIONS
- On tame dynamical systems
- ON METRIC INVARIANTS OF ENTROPY TYPE
- Dynamics in One Complex Variable. (AM-160)
- Dendrites and measures with discrete spectrum
- Dendrites with a closed set of end points
- Weakly tame systems, their characterizations and applications
This page was built for publication: A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled
