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 Cet article a éte moissonné depuis la source Numdam

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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.

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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},
     pages = {885--903},
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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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