airy-resurgence.bib.bak

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@book{diverg-resurg-i,
  author = "C. Mitschi and D. Sauzin",
  title = "Divergent Series, Summability and Resurgence I: Monodromy and Resurgence",
  series = "Lecture Notes in Mathematics",
  number = "2153",
  year = "2016",
}
@book {diverg-resurg-iii,
    AUTHOR = {Delabaere, Eric},
     TITLE = {Divergent series, summability and resurgence. {III}},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {2155},
      NOTE = {Resurgent methods and the first Painlev\'{e} equation,
              With prefaces by Jean-Pierre Ramis, Mich\`ele Loday-Richaud, Claude Mitschi and David Sauzin},
 PUBLISHER = {Springer, [Cham]},
      YEAR = {2016},
     PAGES = {xxii+230},
      ISBN = {978-3-319-28999-1; 978-3-319-29000-3},
   MRCLASS = {40-02 (34-02 34M30 34M40 34M55 40A05 40A30 40Cxx)},
  MRNUMBER = {3495547},
MRREVIEWER = {Francisco Marcell\'{a}n},
       DOI = {10.1007/978-3-319-29000-3},
       URL = {https://doi.org/10.1007/978-3-319-29000-3},
}
@book{laplace-tfm,
  author = "J. L. Schiff",
  title = "The Laplace Transform: Theory and Applications",
  publisher = "Springer",
  year = "1999",
}
@book{Arnold,
  author = " V. I. Arnold and S. M. Gusein-Zade and A. N. Varchenko",
  title = "{Singularities of Differentiable Maps: Volume {II} {M}onodromy and {A}symptotic {I}ntegrals}",
  note= " Monographs in Mathematics (MMA, volume 83)",
 PUBLISHER = {Birkh\"auser Boston, MA},
      YEAR = {1988},
}
@misc{Maxim_lectures,
  TITLE = "{IHES} {L}ectures",
  AUTHOR = {Kontsevich, Maxim},
  howpublished = "\url{https://www.youtube.com/watch?v=tM25X6AI5dY}, Release 1.1.3 of 2021-09-15",
}
@misc{Maxim_talk_2023,
  TITLE = "Introduction to Resurgence via Wall-crossing Structures part 4",
  AUTHOR = {Kontsevich, Maxim},
  howpublished = "https://www.youtube.com/watch?v=7NVrM2yBxTQ",
}
@misc{Maxim_slide_ERC,
  TITLE = "{ERC} {R}e{N}ew{Q}auntum talk by {M}. Kontsevich",
  author ="Kontsevich, Maxim ",
  howpublished = "\url{https://www.youtube.com/watch?v=krf0pXjTl9s}",
  }
@incollection {pham,
    AUTHOR = {Pham, F.},
     TITLE = {La descente des cols par les onglets de {L}efschetz, avec vues sur {G}auss-{M}anin},
      NOTE = {Differential systems and singularities (Luminy, 1983)},
   JOURNAL = {Ast\'{e}risque},
  FJOURNAL = {Ast\'{e}risque},
    NUMBER = {130},
      YEAR = {1985},
     PAGES = {11--47},
      ISSN = {0303-1179},
   MRCLASS = {32B30 (32C40 44A10)},
  MRNUMBER = {804048},
}
@article {Dorigoni,
    AUTHOR = {Dorigoni, D.},
     TITLE = {An introduction to resurgence, trans-series and alien
              calculus},
   JOURNAL = {Ann. Physics},
  FJOURNAL = {Annals of Physics},
    VOLUME = {409},
      YEAR = {2019},
     PAGES = {167914, 38},
      ISSN = {0003-4916},
   MRCLASS = {30B10 (26A24 44A10 44A35 81S40)},
  MRNUMBER = {4000056},
       DOI = {10.1016/j.aop.2019.167914},
       URL = {https://doi.org/10.1016/j.aop.2019.167914},
}
@book {EcalleIII,
    AUTHOR = {\'{E}calle, J.},
     TITLE = {Les fonctions r\'{e}surgentes. {T}ome {III}},
    SERIES = {Publications Math\'{e}matiques d'Orsay [Mathematical Publications
              of Orsay]},
    VOLUME = {85},
      NOTE = {L'\'{e}quation du pont et la classification analytique des objects
              locaux. [The bridge equation and analytic classification of local objects]},
 PUBLISHER = {Universit\'{e} de Paris-Sud, D\'{e}partement de Math\'{e}matiques, Orsay},
      YEAR = {1985},
     PAGES = {587},
   MRCLASS = {32Bxx (30B40 32A10 34-02 58C07 58F08)},
  MRNUMBER = {852210},
MRREVIEWER = {Carlos A. Berenstein},
}
@book {EcalleII,
    AUTHOR = {\'{E}calle, J.},
     TITLE = {Les fonctions r\'{e}surgentes. {T}ome {II}},
    SERIES = {Publications Math\'{e}matiques d'Orsay 81 [Mathematical Publications of Orsay 81]},
    VOLUME = {6},
      NOTE = {Les fonctions r\'{e}surgentes appliqu\'{e}es \`a l'it\'{e}ration. [Resurgent
              functions applied to iteration]},
 PUBLISHER = {Universit\'{e} de Paris-Sud, D\'{e}partement de Math\'{e}matiques, Orsay},
      YEAR = {1981},
     PAGES = {248--531},
   MRCLASS = {30F99 (22E65 39B99)},
  MRNUMBER = {670418},
MRREVIEWER = {Carlos A. Berenstein},
}
@book {EcalleI,
    AUTHOR = {\'{E}calle, J.},
     TITLE = {Les fonctions r\'{e}surgentes. {T}ome {I}},
    SERIES = {Publications Math\'{e}matiques d'Orsay 81 [Mathematical
              Publications of Orsay 81]},
    VOLUME = {5},
      NOTE = {Les alg\`ebres de fonctions r\'{e}surgentes. [The algebras of resurgent functions],
              With an English foreword},
 PUBLISHER = {Universit\'{e} de Paris-Sud, D\'{e}partement de Math\'{e}matiques, Orsay},
      YEAR = {1981},
     PAGES = {247},
   MRCLASS = {30F99 (39B99)},
  MRNUMBER = {670417},
MRREVIEWER = {Carlos A. Berenstein},
}
@article{int-irreg,
  author = {H. Poincar{\'e}},
  title = {Sur les intégrales irr\'{e}guli\`{e}res: Des \'{e}quations lin\'{e}aires},
  volume = {8},
  journal = {Acta Mathematica},
  publisher = {Institut Mittag-Leffler},
  pages = {295 -- 344},
  year = {1900},
  doi = {10.1007/BF02417092},
  URL = {https://doi.org/10.1007/BF02417092}
}
@article {BH,
    AUTHOR = {Berry, M. V. and Howls, C. J.},
     TITLE = {Hyperasymptotics for integrals with saddles},
   JOURNAL = {Proc. Roy. Soc. London Ser. A},
  FJOURNAL = {Proceedings of the Royal Society. London. Series A.
              Mathematical, Physical and Engineering Sciences},
    VOLUME = {434},
      YEAR = {1991},
    NUMBER = {1892},
     PAGES = {657--675},
      ISSN = {0962-8444},
   MRCLASS = {41A60 (30E15 65D32)},
  MRNUMBER = {1126872},
MRREVIEWER = {Andreas Guthmann},
       DOI = {10.1098/rspa.1991.0119},
       URL = {https://doi.org/10.1098/rspa.1991.0119},
}
@article {Schiappa,
    AUTHOR = {Aniceto, I. and Ba\c{s}ar, G. and Schiappa, R.},
     TITLE = {A primer on resurgent transseries and their asymptotics},
   JOURNAL = {Phys. Rep.},
  FJOURNAL = {Physics Reports. A Review Section of Physics Letters},
    VOLUME = {809},
      YEAR = {2019},
     PAGES = {1--135},
      ISSN = {0370-1573},
   MRCLASS = {81Txx},
  MRNUMBER = {3955133},
       DOI = {10.1016/j.physrep.2019.02.003},
       URL = {https://doi.org/10.1016/j.physrep.2019.02.003},
}
@incollection {KKP,
    AUTHOR = {Katzarkov, L. and Kontsevich, M. and Pantev, T.},
     TITLE = {Hodge theoretic aspects of mirror symmetry},
 BOOKTITLE = {From {H}odge theory to integrability and {TQFT} tt*-geometry},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {78},
     PAGES = {87--174},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2008},
   MRCLASS = {14J32 (14A22 14C30 34M40)},
  MRNUMBER = {2483750},
MRREVIEWER = {Mark Gross},
       DOI = {10.1090/pspum/078/2483750},
       URL = {https://doi.org/10.1090/pspum/078/2483750},
}
@book{math-analysis-ii,
    AUTHOR = {Zorich, Vladimir A.},
     TITLE = {Mathematical analysis. {II}},
    SERIES = {Universitext},
   EDITION = {Second},
 PUBLISHER = {Springer, Heidelberg},
      YEAR = {2016},
     PAGES = {xx+720},
      ISBN = {978-3-662-48991-8; 978-3-662-48993-2},
   MRCLASS = {00-01 (26-01 58-01)},
  MRNUMBER = {3445604},
       DOI = {10.1007/978-3-662-48993-2},
       URL = {https://doi.org/10.1007/978-3-662-48993-2},
}
@incollection {Witten,
    AUTHOR = {Witten, E.},
     TITLE = {Analytic continuation of {C}hern-{S}imons theory},
 BOOKTITLE = {Chern-{S}imons gauge theory: 20 years after},
    SERIES = {AMS/IP Stud. Adv. Math.},
    VOLUME = {50},
     PAGES = {347--446},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2011},
   MRCLASS = {81T45 (58J28)},
  MRNUMBER = {2809462},
MRREVIEWER = {Piotr Su\l kowski},
}
@inproceedings{Delabaere-Pham99,
  title={Resurgent methods in semi-classical asymptotics},
  author={Delabaere, Eric and Pham, Fr{\'e}d{\'e}ric},
  booktitle={Annales de l'IHP Physique th{\'e}orique},
  volume={71},
  number={1},
  pages={1--94},
  year={1999}
}
@inproceedings{malgrange92,
  title={Fonctions multisommables},
  author={Malgrange, Bernard and Ramis, Jean-Pierre},
  booktitle={Annales de l'institut Fourier},
  volume={42},
  number={1-2},
  pages={353--368},
  year={1992}
}

@inproceedings{Malgrange22,
  title={M{\'e}thode de la phase stationnaire et sommation de Borel},
  author={Malgrange, Bernard},
  booktitle={Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory: Proceedings of the Colloquium Held at Les Houches, Centre de Physique September 1979},
  pages={170--177},
  year={2005},
  organization={Springer}
}
@incollection{dlmf,
  title={The DLMF Project: A new initiative in classical special functions},
  author={Lozier, Daniel W},
  booktitle={Special Functions},
  pages={207--220},
  year={2000},
  publisher={World Scientific}
}
@article{dunne-unsal,
  title={What is QFT? Resurgent trans-series, Lefschetz thimbles, and new exact saddles},
  author={Dunne, Gerald V and Unsal, Mithat},
  journal={arXiv preprint arXiv:1511.05977},
  year={2015}
}
@article{loday-Remy2011,
  title={Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems},
  author={Loday-Richaud, Mich{\`e}le and Remy, Pascal},
  journal={Journal of Differential Equations},
  volume={250},
  number={3},
  pages={1591--1630},
  year={2011},
  publisher={Elsevier}
}
@inproceedings{malgrange--fourier,
  title={Fourier transform and differential equations},
  author={Malgrange, B},
  booktitle={Recent Developments in Quantum Mechanics: Proceedings of the Brasov Conference, Poiana Brasov 1989, Romania},
  pages={33--48},
  year={1991},
  organization={Springer}
}
@article{lectures-marino,
  title={Lectures on non-perturbative effects in large N gauge theories, matrix models and strings},
  author={Marino, Marcos},
  journal={Fortschritte der Physik},
  volume={62},
  number={5-6},
  pages={455--540},
  year={2014},
  publisher={Wiley Online Library}
}
@book{kawai-takei,
  title={Algebraic analysis of singular perturbation theory},
  author={Kawai, Takahiro and Takei, Yoshitsugu},
  volume={227},
  year={2005},
  publisher={American Mathematical Soc.}
}
@article{aniceto2019primer,
  title={A primer on resurgent transseries and their asymptotics},
  author={Aniceto, In{\^e}s and Ba{\c{s}}ar, G{\"o}k{\c{c}}e and Schiappa, Ricardo},
  journal={Physics Reports},
  volume={809},
  pages={1--135},
  year={2019},
  publisher={Elsevier}
}
@inproceedings{loday1994stokes,
  title={Stokes phenomenon, multisummability and differential Galois groups},
  author={Loday-Richaud, Mich{\`e}le},
  booktitle={Annales de l'institut Fourier},
  volume={44},
  number={3},
  pages={849--906},
  year={1994}
}
@article{schiappa-PI,
  title={Resurgent Stokes Data for Painleve Equations and Two-Dimensional Quantum (Super) Gravity},
  author={Baldino, Salvatore and Schiappa, Ricardo and Schwick, Maximilian and Vega, Roberto},
  journal={arXiv preprint arXiv:2203.13726},
  year={2022}
}
@article{costin-PI,
  title={Resurgent extrapolation: rebuilding a function from asymptotic data. Painlev{\'e} I},
  author={Costin, Ovidiu and Dunne, Gerald V},
  journal={Journal of Physics A: Mathematical and Theoretical},
  volume={52},
  number={44},
  pages={445205},
  year={2019},
  publisher={IOP Publishing}
}
@article{kontsevich2022analyticity,
  title={Analyticity and resurgence in wall-crossing formulas},
  author={Kontsevich, Maxim and Soibelman, Yan},
  journal={Letters in Mathematical Physics},
  volume={112},
  number={2},
  pages={32},
  year={2022},
  publisher={Springer}
}
@article{charbonnier22,
  title={Shifted Witten classes and topological recursion},
  author={Charbonnier, S{\'e}verin and Chidambaram, Nitin Kumar and Garcia-Failde, Elba and Giacchetto, Alessandro},
  journal={arXiv preprint arXiv:2203.16523},
  year={2022}
}
@article{koornwinder2015fractional,
  title={Fractional integral and generalized Stieltjes transforms for hypergeometric functions as transmutation operators},
  author={Koornwinder, Tom H and others},
  journal={SIGMA. Symmetry, Integrability and Geometry: Methods and Applications},
  volume={11},
  pages={074},
  year={2015},
  publisher={SIGMA. Symmetry, Integrability and Geometry: Methods and Applications}
}
@article{nikolaev2023existence,
  title={Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs},
  author={Nikolaev, Nikita},
  journal={Communications in Mathematical Physics},
  pages={1--55},
  year={2023},
  publisher={Springer}
}
@article{nikolaev2023exact,
  title={Exact solutions for the singularly perturbed Riccati equation and exact WKB analysis},
  author={Nikolaev, Nikita},
  journal={Nagoya Mathematical Journal},
  volume={250},
  pages={434--469},
  year={2023},
  publisher={Cambridge University Press}
}
@article{sokal1980improvement,
  title={An improvement of Watson’s theorem on Borel summability},
  author={Sokal, Alan D},
  journal={Journal of Mathematical Physics},
  volume={21},
  number={2},
  pages={261--263},
  year={1980},
  publisher={American Institute of Physics}
}
@article{berry1991hyperasymptotics,
  title={Hyperasymptotics for integrals with saddles},
  author={Berry, Michael Victor and Howls, Christopher J},
  journal={Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences},
  volume={434},
  number={1892},
  pages={657--675},
  year={1991},
  publisher={The Royal Society London}
}
@article{gupta2013meromorphic,
  title={Meromorphic quadratic differentials with half-plane structures},
  author={Gupta, Subhojoy},
  journal={arXiv preprint arXiv:1301.0332},
  year={2013}
}
@article{zorich2006flat,
  title={Flat surfaces},
  author={Zorich, Anton},
  journal={arXiv preprint math/0609392},
  year={2006}
}
@article{Reid,
  title={Composite approximations to the solutions of the Orr-Sommerfeld equation},
  author={Reid, WH},
  journal={Studies in Applied Mathematics},
  volume={51},
  number={4},
  pages={341--368},
  year={1972},
  publisher={Wiley Online Library}
}
@book{drazin-reid,
  title={Hydrodynamic stability},
  author={Drazin, Philip G and Reid, William Hill},
  year={2004},
  publisher={Cambridge university press}
}
@book{sternin1995borel,
  title={Borel-Laplace transform and asymptotic theory: introduction to resurgent analysis},
  author={Sternin, Boris Yu and Shatalov, Victor E},
  year={1995},
  publisher={CrC Press}
}
@misc{mladenov2014advanced,
  title={Advanced topics on applications of fractional calculus on control problems, system stability and modeling},
  author={Mladenov, Valeri and Mastorakis, Nikos},
  year={2014},
  publisher={World Scientific and Engineering Academy and Society}
}
@book{nevanlinna,
  title={Zur Theorie der asymptotischen Potenzreihen I. II.},
  author={Nevanlinna, Frithiof},
  year={1918},
  publisher={Suomalaisen tiedeakademian kustantama}
}
@inproceedings{malgrange1995sommation,
  title={Sommation des s{\'e}ries divergentes},
  author={Malgrange, Bernard},
  booktitle={Exposition. Math},
  volume={13},
  number={2-3},
  pages={163--222},
  year={1995}
}
@article{dingle1973asymptotic,
  title={Asymptotic expansions: their derivation and interpretation},
  author={Dingle, Robert B},
  journal={(No Title)},
  year={1973}
}
@article{delabaere-howls,
  title={Global asymptotics for multiple integrals with boundaries},
  author={Delabaere, Eric and Howls, Christopher J},
  year={2002}
}
@book{wasow2018asymptotic,
  title={Asymptotic expansions for ordinary differential equations},
  author={Wasow, Wolfgang},
  year={2018},
  publisher={Courier Dover Publications}
}
@article{watson,
  title={The transformation of an asymptotic series into a convergent series of inverse factorials [Memoir crowned by the Danish Royal Academy of Science]},
  author={Watson, George Neville},
  journal={Rendiconti del Circolo Matematico di Palermo (1884-1940)},
  volume={34},
  number={1},
  pages={41--88},
  year={1912},
  publisher={Springer}
}
@inproceedings{delabaere--rosoamanana,
  title={Sommation effective d’une somme de Borel par s{\'e}ries de factorielles},
  author={Delabaere, Eric and Rasoamanana, Jean-Marc},
  booktitle={Annales de l'institut Fourier},
  volume={57},
  number={2},
  pages={421--456},
  year={2007}
}
@article{ramis1991series,
  title={S{\'e}ries divergentes et proc{\'e}d{\'e}s de resommation},
  author={Ramis, J.P. and Loday-Richaud, M. and Thomann, J. and Chenciner, A.},
  journal={{\'E}cole Polytechnique, Paris, France},
  year={1991}
}
@book{watson1922treatise,
  title={A treatise on the theory of Bessel functions},
  author={Watson, George Neville},
  volume={2},
  year={1922},
  publisher={The University Press}
}
@misc{Fenyes-ihes-lecture,
  TITLE = "{IHES} {L}ectures",
  AUTHOR = {Fenyes, Aaron},
  howpublished = "\url{https://www.youtube.com/???}, Release ???",
}
@book{balser,
  title={Formal power series and linear systems of meromorphic ordinary differential equations},
  author={Balser, Werner},
  year={2008},
  publisher={Springer Science \& Business Media}
}
@book{diverg-resurg--ii,
  title={Divergent series, summability and resurgence ii},
  author={Loday-Richaud, Michle},
  journal={Lecture Notes in Mathematics},
  volume={2154},
  pages={272},
  year={2016},
  publisher={Springer}
}
@phdthesis{mistegard_phdthesis,
author = {Elbæk Mistegård, William},
year = {2019},
month = {08},
pages = {},
title = {Quantum Invariants and Chern-Simons Theory},
doi = {10.13140/RG.2.2.34989.10723}
}
@article{andersen2020resurgence,
  title={Resurgence analysis of meromorphic transforms},
  author={Andersen, J{\o}rgen Ellegaard},
  journal={arXiv preprint arXiv:2011.01110},
  year={2020}
}