Examples of wandering domains in \(p\)-adic polynomial dynamics. (English. Abridged French version) Zbl 1151.37314
Summary: For any prime \(p>0\), we construct \(p\)-adic polynomial functions in \(\mathbb C_p[z]\) whose Fatou sets have wandering domains.
MSC:
| 37P40 | Non-Archimedean Fatou and Julia sets |
| 12J25 | Non-Archimedean valued fields |
| 37F50 | Small divisors, rotation domains and linearization in holomorphic dynamics |
References:
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