Geodesic
Analytic maps of parabolic and elliptic type with trivial centralisers
Annales de l'I.H.P. Analyse non linéaire, Tome 39 (2022) no. 4, pp. 885-903

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We prove that for a dense set of irrational numbers α, the analytic centraliser of the map e 2πiα z+z 2 near 0 is trivial. We also prove that some analytic circle diffeomorphisms in the Arnol’d family, with irrational rotation numbers, have trivial centralisers. These provide the first examples of such maps with trivial centralisers.

Accepté le :
Publié le :
DOI : 10.4171/aihpc/22
Classification : 37F50, 37F10
Keywords: Analytic centraliser 
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     title = {Analytic maps of parabolic and elliptic type with trivial centralisers},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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Avila, Artur; Cheraghi, Davoud; Eliad, Alexander. Analytic maps of parabolic and elliptic type with trivial centralisers. Annales de l'I.H.P. Analyse non linéaire, Tome 39 (2022) no. 4, pp. 885-903. doi: 10.4171/aihpc/22

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