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- W2983010485 abstract "We study time changes of bounded type Heisenberg nilflows (ϕ t ) acting on the Heisenberg nilmanifold M. We show that for every positive τ∈W s (M), s>7/2, every non-trivial time change (ϕ t τ ) enjoys the Ratner property. As a consequence, every mixing time change is mixing of all orders. Moreover, we show that for every τ∈W s (M), s>9/2 and every p,q∈ℕ, p≠q, (ϕ pt τ ) and (ϕ qt τ ) are disjoint. As a consequence, Sarnak conjecture on Möbius disjointness holds for all such time changes." @default.
- W2983010485 created "2019-11-22" @default.
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- W2983010485 date "2019-11-08" @default.
- W2983010485 modified "2023-10-02" @default.
- W2983010485 title "Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows" @default.
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- W2983010485 doi "https://doi.org/10.5802/jep.111" @default.
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