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S'ebastien Godillon

4 papers hereh-index 450 citations7 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • middle author1
  • last author1

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.DS4

identity via Semantic Scholar / OpenAlex

most citedA family of rational maps with buried Julia components

9 citations · 12 across the 3 of their papers we have counts for

collaborators

4 papers

math.DS2014★ 2 cited

Wandering domains for composition of entire functions

Núria Fagella, Sébastien Godillon, Xavier Jarque

C. Bishop has constructed an example of an entire function f in Eremenko-Lyubich class with at least two grand orbits of oscillating wandering domains. In this paper we show that h…

math.DS2014★ 1 cited

On McMullen-like mappings

Antonio Garijo, Sébastien Godillon

We introduce a generalization of the McMullen family fλ​(z)=zn+λ/zd. In 1988, C. McMullen showed that the Julia set of fλ​ is a Cantor set of circles if and only if $1/n+1/d<…

math.DS2014

Introduction to Iterated Monodromy Groups

Sébastien Godillon

The theory of iterated monodromy groups was developed by Nekrashevych. It is a wonderful example of application of group theory in dynamical systems and, in particular, in holomorp…

math.DS2013★ 9 cited

A family of rational maps with buried Julia components

Sébastien Godillon

It is known that the disconnected Julia set of any polynomial map does not contain buried Julia components. But such Julia components may arise for rational maps. The first example…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.