Abstract
We develop a computational scheme for the parabolic renormalization operator which is based on the asymptotics of the Fatou coordinates at infinity, and apply it to numerical computations of the basin and the domain of the renormalization fixed point and of the spectrum of the parabolic renormalization operator at the fixed point.
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Lanford, O.E., Yampolsky, M. (2014). Numerical Results. In: Fixed Point of the Parabolic Renormalization Operator. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-11707-2_4
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DOI: https://doi.org/10.1007/978-3-319-11707-2_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11706-5
Online ISBN: 978-3-319-11707-2
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