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Found 765 Documents (Results 1–100)

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Semiclassical asymptotics for a difference Schrödinger equation with two coalescent turning points. (English. Russian original) Zbl 1476.39022

Math. Notes 109, No. 6, 990-994 (2021); translation from Mat. Zametki 109, No. 6, 948-953 (2021).
MSC:  39A45 39A12 34L40
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Interplay between opers, quantum curves, WKB analysis, and Higgs bundles. (English) Zbl 1469.14067

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On the instanton-type expansions for Painlevé transcendents and elliptic functions. (English) Zbl 1444.33013

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 365-377 (2020).
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A relation between the exact WKB analysis and the topological recursion – in the case of the Gauss hypergeometric differential equation. (English) Zbl 1448.34165

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 259-266 (2020).
MSC:  34M60 81T45 81Q20
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The relation between the Bessel function and the Borel sum of the WKB solution. (English) Zbl 1444.33003

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 245-257 (2020).
MSC:  33C10 34M40 34M60
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Canards existence in the Hindmarsh-Rose model. (English) Zbl 1447.34048

Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 169-175 (2019).
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Spectral deformation in a problem of singular perturbation theory. (English. Russian original) Zbl 1417.81133

Dokl. Math. 99, No. 1, 60-63 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 4, 397-400 (2019).
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Quantization of spectral curves for meromorphic Higgs bundles through topological recursion. (English) Zbl 1452.14031

Liu, Chiu-Chu Melissa (ed.) et al., Topological recursion and its influence in analysis, geometry, and topology. 2016 AMS von Neumann symposium on topological recursion and its influence in analysis, geometry, and topology, Charlotte, NC, USA, July 4–8, 2016. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 100, 179-229 (2018).
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Movable poles of Painlevé I transcendents and singularities of monodromy data manifolds. (English) Zbl 1427.34118

Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 24-37 (2018).
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The Borel transform of canard values and its singularities. (English) Zbl 1404.34109

Filipuk, Galina (ed.) et al., Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4–8, 2017. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-99147-4/hbk; 978-3-319-99148-1/ebook). Springer Proceedings in Mathematics & Statistics 256, 149-175 (2018).
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Lectures on the topological recursion for Higgs bundles and quantum curves. (English) Zbl 1401.14001

Wentworth, Richard (ed.) et al., The geometry, topology and physics of moduli spaces of Higgs bundles. Based on minicourses from the program on “The geometry, topology and physics of moduli spaces of Higgs bundles”, IMS, Singapore, July 7 – August 29, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-3229-08-2/hbk; 978-981-3229-10-5/ebook). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 36, 103-198 (2018).
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An invitation to 2D TQFT and quantization of Hitchin spectral curves. (English) Zbl 1428.14046

Carqueville, Nils (ed.) et al., Advanced school on topological quantum field theory. Selected papers based on the presentations at the advanced school, University of Warsaw, Warsaw, Poland, December 7–9, 2015. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 114, 85-144 (2018).
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On Stokes phenomena for the alternate discrete PI equation. (English) Zbl 1404.34108

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, 369-381 (2017).
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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).
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The phase-integral method in a problem of singular perturbation theory. (English. Russian original) Zbl 1367.34106

Izv. Math. 81, No. 2, 359-390 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 129-160 (2017).
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Phase integral method in the problem of quasiclassical localization of spectra. (English. Russian original) Zbl 1325.34104

Dokl. Math. 91, No. 3, 318-322 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 3, 283-287 (2015).
MSC:  34M60 34M03 34B05
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