Parabolic implosion for endomorphisms of \(\mathbb C^2\) (Q2279503)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parabolic implosion for endomorphisms of \(\mathbb C^2\) |
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Parabolic implosion for endomorphisms of \(\mathbb C^2\) (English)
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12 December 2019
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Summary: We give an estimate of the discontinuity of the large Julia set for a perturbation of a class of maps tangent to the identity, by means of a two-dimensional Lavaurs theorem. We adapt to our situation a strategy due to Bedford, Smillie and Ueda in the semiattracting setting. We also prove the discontinuity of the filled Julia set for such perturbations of regular polynomials.
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holomorphic dynamics
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maps tangent to the identity
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parabolic implosion
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