Introduction to 1-summability and resurgence

Euler Subdues a Very Obstreperous Series

E. J. Barbeau · 1979

Earlier work this paper cites.

Cinq applications des fonctions résurgentes

J. Écalle · 1984

Earlier work this paper cites.

Les fonctions résurgentes

J. Écalle · 1985

Earlier work this paper cites.

Introduction aux travaux de J. Écalle

B. Malgrange · 1985

Earlier work this paper cites.

Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac

J. Écalle · 1992

Earlier work this paper cites.

Approche de la résurgence

B. Candelpergher, J.-C. Nosmas and F. Pham · 1993

Earlier work this paper cites.

Six lectures on Transseries, Analysable Functions and the Constructive Proof of Dulac’s conjecture

J. Écalle · 1993

Earlier work this paper cites.

Séries divergentes et théories asymptotiques

J.-P. Ramis · 1993

Earlier work this paper cites.

Sommation des séries divergentes

B. Malgrange · 1995

Earlier work this paper cites.

Newman’s short proof of the Prime Number Theorem

D. Zagier, · 1997

Earlier work this paper cites.

Borel summation and splitting of separatrices for the Hénon map

V. Gelfreich and D. Sauzin · 2001

Cited alongside, same era.

Resurgence in a Hamilton-Jacobi equation

C. Olivé, D. Sauzin and T. Seara · 2003

Cited alongside, same era.

Twisted resurgence monomials and canonical-spherical synthesis of local objects

J. Écalle · 2005

Cited alongside, same era.

Pseudo-groupe d’une singularité de feuilletage holomorphe en dimension deux

F. Loray · 2005

Cited alongside, same era.

Resurgent functions and splitting problems

D. Sauzin, · 2005

Cited alongside, same era.

Dynamics in one complex variable. Introductory lectures

J. Milnor · 2006

Cited alongside, same era.

Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems

M. Loday-Richaud and P. Remy · 2011

Later among the works it cites.

The fixed point of the parabolic renormalization operator

Original

O. Lanford III, M. Yampolsky · 2012

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Poincaré et les développements asymptotiques (Première partie)

J.-P. Ramis · 2012

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Les développements asymptotiques après Poincaré : continuité et… divergences

J.-P. Ramis · 2012

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On the resurgent approach to Écalle-Voronin’s invariants

A. Dudko, D. Sauzin · 2013

Later among the works it cites.

Divergent solutions of differential equations: k k - and multi-summability