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Found 765 Documents (Results 1–100)

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Fedotov, A. A.

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).
Reviewer: Chuan-Fu Yang (Nanjing)
MSC:  39A45 39A12 34L40
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\textit{A. A. Fedotov}, Math. Notes 109, No. 6, 990--994 (2021; Zbl 1476.39022); translation from Mat. Zametki 109, No. 6, 948--953 (2021)
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Dumitrescu, Olivia; Mulase, Motohico

Interplay between opers, quantum curves, WKB analysis, and Higgs bundles. (English) Zbl 1469.14067

SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 036, 53 p. (2021).
Reviewer: Georgios Kydonakis (Heidelberg)
MSC:  14H15 14N35 81T45 14F10 14J26 33C05 33C10 33C15 34M60 53D37
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\textit{O. Dumitrescu} and \textit{M. Mulase}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 036, 53 p. (2021; Zbl 1469.14067)
Full Text: DOI arXiv
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Takei, Yoshitsugu

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).
MSC:  33E17 33E05 34C20 34M25 34M60 37J40
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\textit{Y. Takei}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 365--377 (2020; Zbl 1444.33013)
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Takei, Yumiko

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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\textit{Y. Takei}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 259--266 (2020; Zbl 1448.34165)
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Takahashi, Toshinori; Tanda, Mika

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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\textit{T. Takahashi} and \textit{M. Tanda}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 245--257 (2020; Zbl 1444.33003)
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Ginoux, Jean-Marc; Llibre, Jaume; Tchizawa, Kiyoyuki

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).
MSC:  34C60 92C20 34E20 34E17 34C05
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\textit{J.-M. Ginoux} et al., Trends Math., Res. Perspect. CRM Barc. 11, 169--175 (2019; Zbl 1447.34048)
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Stepin, S. A.; Fufaev, V. V.

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).
MSC:  81Q12 81S05 34B24 34M60 14D15 34L20
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\textit{S. A. Stepin} and \textit{V. V. Fufaev}, Dokl. Math. 99, No. 1, 60--63 (2019; Zbl 1417.81133); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 4, 397--400 (2019)
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Dumitrescu, Olivia; Mulase, Motohico

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).
MSC:  14H81 14H15 14N35 81T45 14F10 14J26 33C05 33C10 33C15 34M60 53D37
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\textit{O. Dumitrescu} and \textit{M. Mulase}, Proc. Symp. Pure Math. 100, 179--229 (2018; Zbl 1452.14031)
Full Text: DOI arXiv
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Novokshenov, V. Yu.

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).
Reviewer: Dmitry Artamonov (Moskva)
MSC:  34M55 34M35 34M05 34M60 34M56
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\textit{V. Yu. Novokshenov}, Springer Proc. Math. Stat. 273, 24--37 (2018; Zbl 1427.34118)
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Pavis d’Escurac, Philippe

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).
MSC:  34M60 34E17 34E20 34E10 34M25
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\textit{P. Pavis d'Escurac}, Springer Proc. Math. Stat. 256, 149--175 (2018; Zbl 1404.34109)
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Dumitrescu, Olivia; Mulase, Motohico

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).
MSC:  14-01 81-01 81T45 14H70 14H81 14H15 14N35 15B52 14F10 14J26 33C05 33C10 33C15 34M60 53D37
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\textit{O. Dumitrescu} and \textit{M. Mulase}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 36, 103--198 (2018; Zbl 1401.14001)
Full Text: DOI arXiv
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Dumitrescu, Olivia; Mulase, Motohico

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).
MSC:  14H15 14N35 81T45 14F10 14J26 33C05 33C10 33C15 34M60 53D37
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\textit{O. Dumitrescu} and \textit{M. Mulase}, Banach Cent. Publ. 114, 85--144 (2018; Zbl 1428.14046)
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Joshi, Nalini; Takei, Yoshitsugu

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).
MSC:  34M60 34E20 34M40 34M55 33E17 34K25 34K26 39A45
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\textit{N. Joshi} and \textit{Y. Takei}, in: Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6--19, 2015. Cham: Birkhäuser/Springer. 369--381 (2017; Zbl 1404.34108)
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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
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\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)
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Stepin, Stanislav A.; Fufaev, Vladimir V.

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).
MSC:  34M60 34E20 34L20 41A60
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\textit{S. A. Stepin} and \textit{V. V. Fufaev}, Izv. Math. 81, No. 2, 359--390 (2017; Zbl 1367.34106); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 129--160 (2017)
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Stepin, S. A.; Fufaev, V. V.

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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\textit{S. A. Stepin} and \textit{V. V. Fufaev}, Dokl. Math. 91, No. 3, 318--322 (2015; Zbl 1325.34104); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 3, 283--287 (2015)
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