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Preprints, Working Papers, ... Year : 2023

ON PSEUDO-ROTATIONS OF THE ANNULUS WITH GENERIC ROTATION NUMBER

Abstract

We show that for a Baire generic rotation number α ∈ R/Z, the set of area preserving C ∞-pseudo-rotations of the annulus A with rotation number α equals the closure of the set of area preserving C ∞pseudo-rotations which are smoothly conjugate to the rotation R α. As a corollary, a C ∞-generic area preserving pseudo-rotation of the annulus with a Baire generic rotation number α is weakly mixing.
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Dates and versions

hal-04255433 , version 1 (24-10-2023)

Identifiers

  • HAL Id : hal-04255433 , version 1

Cite

Barney Bramham, Zhiyuan Zhang. ON PSEUDO-ROTATIONS OF THE ANNULUS WITH GENERIC ROTATION NUMBER. 2023. ⟨hal-04255433⟩
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