37 citations · 55 across the 3 of their papers we have counts for
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Initiation to mould calculus through the example of saddle-node singularities
David Sauzin
This article proposes an initiation to Écalle's mould calculus, a powerful combinatorial tool which yields surprisingly explicit formulas for the normalising series attached to an…
Mould expansions for the saddle-node and resurgence monomials
David Sauzin
This article is an introduction to some aspects of Écalle's mould calculus, a powerful combinatorial tool which yields surprisingly explicit formulas for the normalising series att…
Resurgent functions and splitting problems
David Sauzin
The present text is an introduction to Écalle's theory of resurgent functions and alien calculus, in connection with problems of exponentially small separatrix splitting. An outlin…
Quasianalytic monogenic solutions of a cohomological equation
Stefano Marmi, David Sauzin
We prove that the solutions of a cohomological equation of complex dimension one and in the analytic category have a monogenic dependence on the parameter, and we investigate the q…