Nikolaev, Nikita Existence and uniqueness of exact WKB solutions for second-order singularly perturbed linear ODEs. (English) Zbl 07681358 Commun. Math. Phys. 400, No. 1, 463-517 (2023). MSC: 34M60 34M03 PDF BibTeX XML Cite \textit{N. Nikolaev}, Commun. Math. Phys. 400, No. 1, 463--517 (2023; Zbl 07681358) Full Text: DOI arXiv
Ecalle, J. Resurgent analysis of singularly perturbed differential systems: exit Stokes, enter tes. (English) Zbl 1501.35027 Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 103-129 (2021). MSC: 35B25 35C10 34M40 34A34 PDF BibTeX XML Cite \textit{J. Ecalle}, in: Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6--9, 2018. Cham: Birkhäuser. 103--129 (2021; Zbl 1501.35027) Full Text: DOI
Takei, Yoshitsugu WKB analysis and Stokes geometry of differential equations. (English) Zbl 1404.34110 Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 263-304 (2017). MSC: 34M60 34E20 34M40 34M30 34M35 PDF BibTeX XML Cite \textit{Y. Takei}, in: Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6--19, 2015. Cham: Birkhäuser/Springer. 263--304 (2017; Zbl 1404.34110) Full Text: DOI
Ou, Yafei On the stability by convolution product of a resurgent algebra. (English) Zbl 1211.30051 Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3-4, 687-705 (2010). MSC: 30E99 PDF BibTeX XML Cite \textit{Y. Ou}, Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3--4, 687--705 (2010; Zbl 1211.30051) Full Text: DOI Numdam EuDML
Costin, Ovidiu; Garoufalidis, Stavros Resurgence of the Euler-Maclaurin summation formula. (English) Zbl 1166.34055 Ann. Inst. Fourier 58, No. 3, 893-914 (2008). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M37 34M30 34M40 PDF BibTeX XML Cite \textit{O. Costin} and \textit{S. Garoufalidis}, Ann. Inst. Fourier 58, No. 3, 893--914 (2008; Zbl 1166.34055) Full Text: DOI arXiv Numdam EuDML
Canalis-Durand, Mireille; Mozo-Fernández, Jorge; Schäfke, Reinhard Monomial summability and doubly singular differential equations. (English) Zbl 1166.34334 J. Differ. Equations 233, No. 2, 485-511 (2007). MSC: 34M35 34M60 37F75 PDF BibTeX XML Cite \textit{M. Canalis-Durand} et al., J. Differ. Equations 233, No. 2, 485--511 (2007; Zbl 1166.34334) Full Text: DOI
Duc Tai Trinh Stokes coefficients of the cubic model: a quantum resurgence viewpoint. (Coefficients de Stokes du modèle cubique: point de vue de al résurgence quantique.) (French) Zbl 1074.81022 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 14, No. 1, 71-103 (2005). Reviewer: Alex Gaina (Chisinau) MSC: 81Q20 34M40 35Q55 PDF BibTeX XML Cite \textit{Duc Tai Trinh}, Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 1, 71--103 (2005; Zbl 1074.81022) Full Text: DOI Numdam EuDML
Ecalle, Jean; Vallet, Bruno The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects. (English) Zbl 1078.37016 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 13, No. 4, 575-657 (2004). Reviewer: Filippo Bracci (Roma) MSC: 37C99 34M15 37E20 37F50 37G05 40A05 32S65 PDF BibTeX XML Cite \textit{J. Ecalle} and \textit{B. Vallet}, Ann. Fac. Sci. Toulouse, Math. (6) 13, No. 4, 575--657 (2004; Zbl 1078.37016) Full Text: DOI Numdam Numdam EuDML
Ecalle, Jean ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation. (ARI/GARI, la dimorphie et l’arithmétique des multizêtas: un premier bilan.) (French) Zbl 1094.11032 J. Théor. Nombres Bordx. 15, No. 2, 411-478 (2003). Reviewer: Makoto Ohtsuki (Kodaira) MSC: 11M41 17B99 33B15 PDF BibTeX XML Cite \textit{J. Ecalle}, J. Théor. Nombres Bordx. 15, No. 2, 411--478 (2003; Zbl 1094.11032) Full Text: DOI Numdam EuDML
Delabaere, Eric; Pham, Frédéric Resurgent methods in semi-classical asymptotics. (English) Zbl 0977.34053 Ann. Inst. Henri Poincaré, Phys. Théor. 71, No. 1, 1-94 (1999). Reviewer: Yoshitsugu Takei (MR 2000f:34108) MSC: 34E20 81Q20 34M37 PDF BibTeX XML Cite \textit{E. Delabaere} and \textit{F. Pham}, Ann. Inst. Henri Poincaré, Phys. Théor. 71, No. 1, 1--94 (1999; Zbl 0977.34053) Full Text: Numdam EuDML
Delabaere, Eric; Pham, Frédéric Unfolding the quartic oscillator. (English) Zbl 0977.34052 Ann. Phys. 261, No. 2, 180-218 (1997). Reviewer: Alexander Tovbis (MR 99k:81065) MSC: 34E20 81Q20 34C15 34M37 PDF BibTeX XML Cite \textit{E. Delabaere} and \textit{F. Pham}, Ann. Phys. 261, No. 2, 180--218 (1997; Zbl 0977.34052) Full Text: DOI Link
Sauzin, David Résurgence paramétrique et exponentielle petitesse de l’écart des séparatrices du pendule rapidement forcé. (Parametric resurgence and exponential smallness of the splitting of the separatrices of the rapidly forced pendulum.). (French) Zbl 0826.30004 Ann. Inst. Fourier 45, No. 2, 453-511 (1995). MSC: 30B99 34C37 34E15 40C99 37J99 PDF BibTeX XML Cite \textit{D. Sauzin}, Ann. Inst. Fourier 45, No. 2, 453--511 (1995; Zbl 0826.30004) Full Text: DOI Numdam EuDML