Article Contents
Article Contents

# Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows

The first author is partially supported by the Labex CEMPI. The second author is supported by NSF grant DMS 1600687

• We derive, from the work of M. Ratner on joinings of time-changes of horocycle flows and from the result of the authors on its cohomology, the property of orthogonality of powers for non-trivial smooth time-changes of horocycle flows on compact quotients. Such a property is known to imply P. Sarnak's Möbius orthogonality conjecture, already known for horocycle flows by the work of J. Bourgain, P. Sarnak and T. Ziegler.

Mathematics Subject Classification: Primary: 11L20, 11N37; Secondary: 37D40.

 Citation:

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