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@article{Cheraghi:2022:AIHPC/22,
author = {Cheraghi, D and Avila, A and Eliad, A},
doi = {AIHPC/22},
journal = {Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire},
title = {Analytic maps of parabolic and elliptic type with trivial centralisers},
url = {http://dx.doi.org/10.4171/AIHPC/22},
volume = {39},
year = {2022}
}

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TY  - JOUR
AB  - We prove that for a dense set of irrational numbers α, the analytic centraliser of the map e^{2πiα} z+ z2 near 0 is trivial. We also prove that some analytic circle diffeomorphisms in the Arnold family, with irrational rotation numbers, have trivial centralisers. These provide the first examples of such maps with trivial centralisers.
AU  - Cheraghi,D
AU  - Avila,A
AU  - Eliad,A
DO  - AIHPC/22
PY  - 2022///
SN  - 0294-1449
TI  - Analytic maps of parabolic and elliptic type with trivial centralisers
T2  - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
UR  - http://dx.doi.org/10.4171/AIHPC/22
UR  - https://arxiv.org/abs/2003.13336
UR  - https://ems.press/journals/aihpc/articles/4938797
UR  - http://hdl.handle.net/10044/1/78135
VL  - 39
ER  -

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