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تسجيل مستخدم جديدThe size of quadratic $p$-adic linearization disks
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تأليف
Karl-Olof Lindahl
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We find the exact radius of linearization disks at indifferent fixed points of quadratic maps in $mathbb{C}_p$. We also show that the radius is invariant under power series perturbations. Localizing all periodic orbits of these quadratic-like maps we then show that periodic points are not the only obstruction for linearization. In so doing, we provide the first known examples in the dynamics of polynomials over $mathbb{C}_p$ where the boundary of the linearization disk does not contain any periodic point.
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