Fantini, Veronica; Fenyes, Aaron Regular singular Volterra equations on complex domains. (English) Zbl 07968290 SIAM J. Math. Anal. 57, No. 1, 336-363 (2025). MSC: 45D05 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramis, Jean-Pierre Epilogue: Stokes phenomena. Dynamics, classification problems and avatars. (English) Zbl 07913005 Cano, Felipe (ed.) et al., Handbook of geometry and topology of singularities VI: foliations. Cham: Springer. 383-482 (2024). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34-02 34M40 34M35 34M60 × Cite Format Result Cite Review PDF Full Text: DOI
Nemes, Gergő Resurgence in the transition region: the incomplete gamma function. (English) Zbl 1543.33002 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 026, 14 p. (2024). MSC: 33B20 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laenen, Eric; Marinissen, Coenraad; Vonk, Marcel Resurgence analysis of the Adler function at \(\mathcal{O}(1/N_f^2)\). (English) Zbl 07754682 J. High Energy Phys. 2023, No. 9, Paper No. 103, 86 p. (2023). MSC: 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yong; Sauzin, David; Sun, Shanzhong On the Moyal star product of resurgent series. (Sur le star produit de Moyal des séries résurgentes.) (English. French summary) Zbl 1526.53084 Ann. Inst. Fourier 73, No. 5, 1987-2027 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dinh, Tien-Cuong (ed.); Marinescu, George (ed.); Tosatti, Valentino (ed.); Wulcan, Elizabeth (ed.) Complex geometry and dynamical systems. Abstracts from the workshop held September 4–10, 2022. (English) Zbl 1520.00026 Oberwolfach Rep. 19, No. 3, 2335-2397 (2022). MSC: 00B05 00B25 32-06 37-06 37F44 × Cite Format Result Cite Review PDF Full Text: DOI
Antipin, Oleg; Bersini, Jahmall; Sannino, Francesco; Torres, Matías The analytic structure of the fixed charge expansion. (English) Zbl 1522.81443 J. High Energy Phys. 2022, No. 6, Paper No. 41, 29 p. (2022). MSC: 81T40 81T15 81T16 81T17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kontsevich, Maxim; Soibelman, Yan Analyticity and resurgence in wall-crossing formulas. (English) Zbl 1487.32048 Lett. Math. Phys. 112, No. 2, Paper No. 32, 56 p. (2022). MSC: 32C99 14J81 81Q20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
López-Hernanz, Lorena; Raissy, Jasmin; Ribón, Javier; Sanz-Sánchez, Fernando Stable manifolds of two-dimensional biholomorphisms asymptotic to formal curves. (English) Zbl 1487.32159 Int. Math. Res. Not. 2021, No. 17, 12847-12887 (2021). MSC: 32S05 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Borinsky, Michael; Dunne, Gerald V. Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations. (English) Zbl 1473.81123 Nucl. Phys., B 957, Article ID 115096, 17 p. (2020). MSC: 81T16 16T05 34A34 34B27 35J08 35C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erler, Theodore; Masuda, Toru; Schnabl, Martin Rolling near the tachyon vacuum. (English) Zbl 1436.83083 J. High Energy Phys. 2020, No. 4, Paper No. 104, 44 p. (2020). MSC: 83E30 81T16 81T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guerini, Lorenzo; Peters, Han Random local complex dynamics. (English) Zbl 1450.37048 Ergodic Theory Dyn. Syst. 40, No. 8, 2156-2182 (2020). Reviewer: Feng Rong (Shanghai) MSC: 37H15 37H12 37F12 32H02 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ecalle, Jean The scrambling operators applied to multizeta algebra and singular perturbation analysis. (English) Zbl 1439.11221 Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 133-325 (2020). MSC: 11M32 30D05 33E20 34E20 × Cite Format Result Cite Review PDF Full Text: DOI
Ecalle, Jean The natural growth scale. (English) Zbl 1494.30004 Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 1. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 31, 93-223 (2020). MSC: 30B10 26A99 × Cite Format Result Cite Review PDF Full Text: DOI
López-Hernanz, Lorena; Rosas, Rudy Characteristic directions of two-dimensional biholomorphisms. (English) Zbl 1448.37055 Compos. Math. 156, No. 5, 869-880 (2020). Reviewer: Jasmin Raissy (Toulouse) MSC: 37F80 32H50 32S65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baldomá, Inmaculada; Fontich, Ernest; Martín, Pau Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters. (English) Zbl 1437.37022 J. Differ. Equations 268, No. 9, 5516-5573 (2020). MSC: 37C05 37C20 37C25 37C27 37C75 37D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
López-Hernanz, Lorena; Sanz Sánchez, Fernando Parabolic curves of diffeomorphisms asymptotic to formal invariant curves. (English) Zbl 1412.32015 J. Reine Angew. Math. 739, 277-296 (2018). Reviewer: Marco Abate (Pisa) MSC: 32H50 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Remy, Pascal Multi-resurgence and connection-to-Stokes formulæ for some linear meromorphic differential systems. (English) Zbl 1378.34098 J. Differ. Equations 264, No. 1, 197-235 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M03 34M30 34M40 × Cite Format Result Cite Review PDF Full Text: DOI
Bouillot, Olivier; Ecalle, Jean Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas. (English) Zbl 1417.37170 Fauvet, Frédéric (ed.) et al., Resurgence, physics and numbers, Pisa, Italy, May 18–22, 2015. Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 20. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore. 109-232 (2017). Reviewer: Jasmin Raissy (Toulouse) MSC: 37F20 37F45 37C85 11M32 11M35 × Cite Format Result Cite Review PDF Full Text: DOI
Aniceto, Inês Asymptotics, ambiguities and resurgence. (English) Zbl 1508.81835 Fauvet, Frédéric (ed.) et al., Resurgence, physics and numbers, Pisa, Italy, May 18–22, 2015. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore. CRM Ser. 20, 1-66 (2017). MSC: 81Q15 35Q40 81P15 81Q05 81R12 81T16 × Cite Format Result Cite Review PDF Full Text: DOI
Paul, Thierry; Sauzin, David Normalization in Lie algebras via mould calculus and applications. (English) Zbl 1383.37049 Regul. Chaotic Dyn. 22, No. 6, 616-649 (2017). MSC: 37J40 81Q15 81Q20 70G65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Remy, Pascal Resurgence and highest level’s connection-to-Stokes formulæ for some linear meromorphic differential systems. (English. French summary) Zbl 1384.34092 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 3, 645-685 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M03 34M25 34M30 34M40 × Cite Format Result Cite Review PDF Full Text: DOI
Astorg, Matthieu; Buff, Xavier; Dujardin, Romain; Peters, Han; Raissy, Jasmin A two-dimensional polynomial mapping with a wandering Fatou component. (English) Zbl 1368.37055 Ann. Math. (2) 184, No. 1, 263-313 (2016). Reviewer: Guoping Zhan (Hangzhou) MSC: 37F50 37F10 37C70 30C20 30C65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Abate, Marco; Bianchi, Fabrizio A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces. (English) Zbl 1332.32021 Math. Z. 282, No. 1-2, 247-272 (2016). MSC: 32H50 34M03 34M40 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rong, Feng A brief survey on local holomorphic dynamics in higher dimensions. (English) Zbl 1326.32011 Bracci, Filippo (ed.) et al., Complex analysis and geometry. KSCV 10. Proceddings of the 10th symposium, Gyeongju, Korea, August 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). Springer Proceedings in Mathematics & Statistics 144, 295-307 (2015). MSC: 32-02 32H50 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abate, Marco Fatou flowers and parabolic curves. (English) Zbl 1326.32002 Bracci, Filippo (ed.) et al., Complex analysis and geometry. KSCV 10. Proceddings of the 10th symposium, Gyeongju, Korea, August 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). Springer Proceedings in Mathematics & Statistics 144, 1-39 (2015). MSC: 32-02 32H50 30D05 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Schäfke, Reinhard; Teyssier, Loïc Analytic normal forms for convergent saddle-node vector fields. (Formes normales analytiques pour les champs de vecteurs noeuds-cols de type convergent.) (English. French summary) Zbl 1328.34091 Ann. Inst. Fourier 65, No. 3, 933-974 (2015). MSC: 34M35 34M25 34M50 34-04 32S65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouillot, Olivier On Hurwitz multizeta functions. (English) Zbl 1381.11079 Adv. Appl. Math. 71, 68-124 (2015). MSC: 11M32 11M35 05E05 33E20 33E30 × Cite Format Result Cite Review PDF Full Text: DOI
Couso-Santamaría, Ricardo; Edelstein, José D.; Schiappa, Ricardo; Vonk, Marcel Resurgent transseries and the holomorphic anomaly: nonperturbative closed strings in local \(\mathbb{CP}^2\). (English) Zbl 1318.81051 Commun. Math. Phys. 338, No. 1, 285-346 (2015). MSC: 81T30 14J32 81T50 81T15 81T16 14D21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bracci, Filippo; Rong, Feng Dynamics of quasi-parabolic one-resonant biholomorphisms. (English) Zbl 1316.32012 J. Geom. Anal. 24, No. 3, 1497-1508 (2014). Reviewer: Marco Abate (Pisa) MSC: 32H50 32H02 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Razafindralandy, Dina; Hamdouni, Aziz Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations. (English) Zbl 1286.76123 J. Comput. Phys. 236, 56-73 (2013). MSC: 76M45 40G10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Remy, Pascal On the Stokes phenomenon of a family of multi-perturbed level-one meromorphic linear differential systems. (English) Zbl 1304.34152 J. Dyn. Control Syst. 19, No. 4, 575-592 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M40 34M03 34M30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Bracci, Filippo; Zaitsev, Dmitri Dynamics of one-resonant biholomorphisms. (English) Zbl 1351.37080 J. Eur. Math. Soc. (JEMS) 15, No. 1, 179-200 (2013). MSC: 37C05 35B34 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Câmara, Leonardo; Scárdua, Bruno A Fatou type theorem for complex map germs. (English) Zbl 1271.32034 Conform. Geom. Dyn. 16, 256-268 (2012). MSC: 32S65 37F99 32H50 37F75 37F10 × Cite Format Result Cite Review PDF Full Text: DOI
Cerveau, Dominique; Déserti, Julie Centralizers in the Jonquières group. (Centralisateurs dans le groupe de Jonquières.) (French) Zbl 1273.14028 Mich. Math. J. 61, No. 4, 763-783 (2012). Reviewer: Julien Grivaux (Marseille) MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Remy, Pascal Stokes-Ramis matrices and connection constants for linear differential systems with a single level. (Matrices de Stokes-ramis et constantes de connexion pour les systèmes différentiels linéaires de niveau unique.) (French. English summary) Zbl 1244.34109 Ann. Fac. Sci. Toulouse, Math. (6) 21, No. 1, 93-150 (2012). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M40 34M03 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Abate, Marco Open problems in local discrete holomorphic dynamics. (English) Zbl 1254.32026 Anal. Math. Phys. 1, No. 4, 261-287 (2011). MSC: 32H50 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arriagada-Silva, Waldo; Rousseau, Christiane The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations. (English. French summary) Zbl 1242.58021 Ann. Fac. Sci. Toulouse, Math. (6) 20, No. 3, 541-580 (2011). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58K40 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Abate, Marco; Tovena, Francesca Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields. (English) Zbl 1241.32012 J. Differ. Equations 251, No. 9, 2612-2684 (2011). MSC: 32H50 32S65 37F75 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loday-Richaud, Michèle; Remy, Pascal Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems. (English) Zbl 1214.34087 J. Differ. Equations 250, No. 3, 1591-1630 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M03 34M30 34M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Rasoamanana, Jean-Marc Resurgence-summability of ramified formal series depending of a parameter and solutions of linear differential equations. (Résurgence-sommabilité de séries formelles ramifiées dépendant d’un paramètre et solutions d’équations différentielles linéaires.) (English) Zbl 1205.34122 Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 2, 303-343 (2010). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M30 34M03 34M25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Garoufalidis, Stavros; Mariño, Marcos Universality and asymptotics of graph counting problems in non-orientable surfaces. (English) Zbl 1245.05066 J. Comb. Theory, Ser. A 117, No. 6, 715-740 (2010). MSC: 05C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rousseau, Christiane The moduli space of germs of generic families of analytic diffeomorphisms unfolding of a codimension one resonant diffeomorphism or resonant saddle. (English) Zbl 1204.37048 J. Differ. Equations 248, No. 7, 1794-1825 (2010). Reviewer: Marco Abate (Pisa) MSC: 37F45 30D05 34M40 × Cite Format Result Cite Review PDF Full Text: DOI
Cresson, Jacky Mould calculus. (Calcul moulien.) (French) Zbl 1341.37028 Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 2, 307-395 (2009). MSC: 37G05 16T30 37C99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Molino, Laura The dynamics of maps tangent to the identity and with nonvanishing index. (English) Zbl 1178.32012 Trans. Am. Math. Soc. 361, No. 3, 1597-1623 (2009). Reviewer: Marco Abate (Pisa) MSC: 32H50 37F99 32F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sahraoui, Fatiha The dynamics of holomorphic germs near a curve of fixed points. (English) Zbl 1191.37028 Appl. Math. Lett. 21, No. 12, 1229-1233 (2008). Reviewer: Sang-Eon Han (Jeonju-City Jeonbuk) MSC: 37F45 × Cite Format Result Cite Review PDF Full Text: DOI
Immink, G. K Exact asymptotics of nonlinear difference equations with levels 1 and \(1^{ + }\). (English) Zbl 1160.39003 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 2, 309-356 (2008). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 30D05 30E10 39B32 39A10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Sahraoui, Fatiha The dynamics of holomorphic germs tangent to the identity near a smooth curve of fixed points. (English) Zbl 1152.32010 J. Math. Pures Appl. (9) 90, No. 5, 461-468 (2008). MSC: 32H50 37F99 32S45 32S65 × Cite Format Result Cite Review PDF Full Text: DOI
Rasoamanana, Jean-Marc Quantum resurgence for a class of Airy type differential equations. (English) Zbl 1148.34060 J. Differ. Equations 244, No. 5, 1011-1048 (2008). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M60 34M37 × Cite Format Result Cite Review PDF Full Text: DOI
van der Hoeven, Joris Around the numeric-symbolic computation of differential Galois groups. (English) Zbl 1396.34054 J. Symb. Comput. 42, No. 1-2, 236-264 (2007). MSC: 34M15 12H05 34M25 34M30 34M35 34M40 65L99 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Menous, Frédéric On the stability of some groups of formal diffeomorphisms by the Birkhoff decomposition. (English) Zbl 1134.13017 Adv. Math. 216, No. 1, 1-28 (2007). Reviewer: Vladimir L. Popov (Moskva) MSC: 13F25 17B40 47A68 81R10 81T15 22E65 16W30 58D05 × Cite Format Result Cite Review PDF Full Text: DOI
Delabaere, Eric; Rasoamanana, Jean-Marc Effective Borel-resummation by factorial series. (Sommation effective d’une somme de Borel par séries de factorielles.) (French. English summary) Zbl 1129.30023 Ann. Inst. Fourier 57, No. 2, 421-456 (2007). Reviewer: Rolf Wallisser (Freiburg i. Br.) MSC: 30E15 40G99 34M30 40G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Rousseau, Christiane; Christopher, Colin Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle. (English) Zbl 1127.37039 Ann. Inst. Fourier 57, No. 1, 301-360 (2007). Reviewer: Filippo Bracci (Roma) MSC: 37F75 32S65 34M35 37C10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Casale, Guy Singular codimension one foliations, Galois groupoid and first integrals. (Feuilletages singuliers de codimension un, groupoïde de Galois et intégrales premières.) (French. English summary) Zbl 1155.32020 Ann. Inst. Fourier 56, No. 3, 735-779 (2006). MSC: 32S65 37F75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Balser, Werner Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. (English) Zbl 1105.35024 Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 4, 593-608 (2005). Reviewer: Robert Kuik (Roden) MSC: 35C10 35B25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
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 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Ecalle, Jean; Vallet, Bruno Intertwined mappings. (English. French summary) Zbl 1091.37008 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 13, No. 3, 291-376 (2004). MSC: 37C05 34M15 37E20 22E99 37F50 37G05 58D99 32B10 32S65 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Link
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 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Canalis-Durand, Mireille; Schäfke, Reinhard Divergence and summability of normal forms of systems of differential equations with nilpotent linear part. (English) Zbl 1169.34339 Ann. Fac. Sci. Toulouse, Math. (6) 13, No. 4, 493-513 (2004). Reviewer: S. D. Bajpai (Indore) MSC: 34M35 34M30 37G05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Link
Braaksma, Boele; Kuik, Robert Resurgence relations for classes of differential and difference equations. (English) Zbl 1078.34068 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 13, No. 4, 479-492 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M25 34M37 39A10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Link
Bracci, Filippo The dynamics of holomorphic maps near curves of fixed points. (English) Zbl 1170.32311 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 3, 493-520 (2003). MSC: 32H50 37F99 32S45 32S65 × Cite Format Result Cite Review PDF Full Text: 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 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Olivé, Carme; Sauzin, David; Seara, Tere M. Resurgence in a Hamilton-Jacobi equation. (English) Zbl 1077.34086 Ann. Inst. Fourier 53, No. 4, 1185-1235 (2003). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M37 34M25 34M30 70H20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Link
Canalis-Durand, Mireille; Schäfke, Reinhard On the normal form of a system of differential equations with nilpotent linear part. (English. Abridged French version) Zbl 1036.34105 C. R., Math., Acad. Sci. Paris 336, No. 2, 129-134 (2003). MSC: 34M35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Delabaere, E.; Howls, C. J. Global asymptotics for multiple integrals with boundaries. (English) Zbl 1060.30049 Duke Math. J. 112, No. 2, 199-264 (2002). Reviewer: Wolfgang zu Castell (Neuherberg) MSC: 30E15 41A60 30E20 32C99 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Cano, Felipe; Moussu, Robert; Sanz, Fernando Linked integral pencils. (Pinceau intégral enlacé.) (French) Zbl 1115.37310 C. R., Math., Acad. Sci. Paris 334, No. 10, 855-858 (2002). MSC: 37C10 32B20 34C15 37C15 × Cite Format Result Cite Review PDF Full Text: DOI
Ilyashenko, Yu. Centennial history of Hilbert’s 16th Problem. (English) Zbl 1004.34017 Bull. Am. Math. Soc., New Ser. 39, No. 3, 301-354 (2002). MSC: 34C07 34C08 34-03 × Cite Format Result Cite Review PDF Full Text: DOI
Abate, Marco The residual index and the dynamics of holomorphic maps tangent to the identity. (English) Zbl 1015.37035 Duke Math. J. 107, No. 1, 173-207 (2001). Reviewer: Manfred Denker (Göttingen) MSC: 37F10 32H50 32S45 32S65 × Cite Format Result Cite Review PDF Full Text: DOI
Immink, G. K. Summability of formal solutions of a class of nonlinear difference equations. (English) Zbl 0973.39003 J. Difference Equ. Appl. 7, No. 1, 105-126 (2001). Reviewer: N.C.Apreutesei (Iasi) MSC: 39A10 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Loray, Frank Formal reduction of cuspidal singularities of analytic vector fields. (Réduction formelle des singularités cuspidales de champs de vecteurs analytiques.) (French) Zbl 0985.37014 J. Differ. Equations 158, No. 1, 152-173 (1999). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 37C15 34C20 34M35 58K50 37F75 × Cite Format Result Cite Review PDF
Hakim, Monique Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity. (English) Zbl 0952.32012 Duke Math. J. 92, No. 2, 403-428 (1998). Reviewer: Giuseppe Tomassini (Pisa) MSC: 32H50 32H02 × Cite Format Result Cite Review PDF Full Text: DOI
Nakai, Isao The classification of curvilinear angles in the complex plane and the groups of \(\pm\) holomorphic diffeomorphisms. (French) Zbl 0958.32003 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 7, No. 2, 313-334 (1998). MSC: 32B10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Barkatou, Moulay A.; Duval, Anne On the sum of certain factorial series. (Sur la somme de certaines séries de factorielles.) (French. English summary) Zbl 0956.39001 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 6, No. 1, 7-58 (1997). MSC: 39A10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
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 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Loday-Richaud, Michèle Stokes phenomenon, multisummability and differential Galois groups. (English) Zbl 0812.34004 Ann. Inst. Fourier 44, No. 3, 849-906 (1994). MSC: 34M99 12H05 34A30 34E05 40G10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Barkatou, A.; Duval, A. On formal series solutions of polynomial difference equations. (Sur les séries formelles solutions d’équations aux différences polynomiales.) (French) Zbl 0803.39005 Ann. Inst. Fourier 44, No. 2, 495-524 (1994). Reviewer: A.Barkatou MSC: 39A10 44A15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Écalle, J.; Schlomiuk, D. The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms. (English) Zbl 0816.30005 Ann. Inst. Fourier 43, No. 5, 1407-1483 (1993). Reviewer: D.Schlomiuk (Montreal) MSC: 30B99 32S65 30E15 32B99 32G99 32H02 32S05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Pérez-Marco, Ricardo On nonlinearizable holomorphic dynamics and a conjecture of V. I. Arnold. (Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold.) (French) Zbl 0812.58051 Ann. Sci. Éc. Norm. Supér. (4) 26, No. 5, 565-644 (1993). Reviewer: H.Kriete (Aachen) MSC: 37B99 26A18 30D05 37C25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Ecalle, Jean Cohesive functions and weak accelerations. (English) Zbl 0808.30002 J. Anal. Math. 60, 71-97 (1993). Reviewer: A.A.Melentsov (Ekaterinburg) MSC: 30B40 30D60 × Cite Format Result Cite Review PDF Full Text: DOI
Ecalle, Jean Singularities that are inaccessible by geometry. (Singularités non abordables par la géométrie.) (French) Zbl 0940.32013 Ann. Inst. Fourier 42, No. 1-2, 73-164 (1992). MSC: 32S65 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Braaksma, B. L. J. Multisummability and Stokes multipliers of linear meromorphic differential equations. (English) Zbl 0729.34005 J. Differ. Equations 92, No. 1, 45-75 (1991). Reviewer: W.Bergweiler (Aachen) MSC: 34M99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Martinet, Jean; Ramis, Jean-Pierre Elementary acceleration and multisummability. I. (English) Zbl 0748.12005 Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 4, 331-401 (1991). Reviewer: N.V.Grigorenko (Kiev) MSC: 12H05 34M99 34A30 34A25 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Cerveau, D.; Moussu, R. Automorphism groups of (\({\mathbb{C}},0)\) and differential equations \(ydy+\cdots =0\). (Groupes d’automorphismes de (\({\mathbb{C}},0)\) et équations différentielles \(ydy+\cdots=0\).) (French) Zbl 0696.58011 Bull. Soc. Math. Fr. 116, No. 4, 459-488 (1988). Reviewer: N.V.Ivanov MSC: 58D05 34C20 58A17 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML