Fedotov, Alexander; Shchetka, Ekaterina Difference equations in the complex plane: quasiclassical asymptotics and Berry phase. (English) Zbl 1484.39018 Appl. Anal. 101, No. 1, 274-296 (2022). MSC: 39A45 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{E. Shchetka}, Appl. Anal. 101, No. 1, 274--296 (2022; Zbl 1484.39018) Full Text: DOI arXiv OpenURL
Fedotov, Alexander; Klopp, Frédéric The complex WKB method for difference equations and Airy functions. (English) Zbl 1425.39011 SIAM J. Math. Anal. 51, No. 6, 4413-4447 (2019). MSC: 39A45 39A12 33C10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, SIAM J. Math. Anal. 51, No. 6, 4413--4447 (2019; Zbl 1425.39011) Full Text: DOI arXiv OpenURL
Fedotov, Alexander; Sandomirskiy, Fedor An exact renormalization formula for the Maryland model. (English) Zbl 1312.39006 Commun. Math. Phys. 334, No. 2, 1083-1099 (2015). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 39A10 39A45 35Q41 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Sandomirskiy}, Commun. Math. Phys. 334, No. 2, 1083--1099 (2015; Zbl 1312.39006) Full Text: DOI arXiv OpenURL
Fedotov, Alexander; Klopp, Frédéric Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. (English) Zbl 1112.47038 Ann. Sci. Éc. Norm. Supér. (4) 38, No. 6, 889-950 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 34L40 47N50 81Q10 47A10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Ann. Sci. Éc. Norm. Supér. (4) 38, No. 6, 889--950 (2005; Zbl 1112.47038) Full Text: DOI Numdam Numdam EuDML OpenURL
Fedotov, Alexander; Klopp, Frédéric On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. (English) Zbl 1101.34069 Trans. Am. Math. Soc. 357, No. 11, 4481-4516 (2005). MSC: 34L40 34E20 34M60 47A10 47E05 81Q05 81Q10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Trans. Am. Math. Soc. 357, No. 11, 4481--4516 (2005; Zbl 1101.34069) Full Text: DOI OpenURL