40 citations · 151 across the 30 of their papers we have counts for
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math.DS2013
On the resurgent approach to Ecalle-Voronin's invariants
Artem Dudko, David Sauzin
Given a holomorphic germ at the origin of C with a simple parabolic fixed point, the Fatou coordinates have a common asymptotic expansion whose formal Borel transform is resurgent.…
math.DS2013★ 8 cited
The resurgent character of the Fatou coordinates of a simple parabolic germ
Artem Dudko, David Sauzin
Given a holomorphic germ at the origin of C with a simple parabolic fixed point, the local dynamics is classically described by means of pairs of attracting and repelling Fatou coo…
math.DS2013★ 1 cited
Generalised continuation by means of right limits
David Sauzin, Giulio Tiozzo
Several theories have been proposed to generalise the concept of analytic continuation to holomorphic functions of the disc for which the circle is a natural boundary. Elaborating…