Edit Profile (opens in new tab) Fedotov, Alexander Compute Distance To: Compute Author ID: fedotov.alexander Published as: Fedotov, Alexander; Fedotov, A.; Fedotov, Alexandre more...less Homepage: http://math.nw.ru/wp/?p=710&lang=en External Links: MGP · ORCID Documents Indexed: 28 Publications since 1994 Co-Authors: 11 Co-Authors with 27 Joint Publications 469 Co-Co-Authors all top 5 Co-Authors 1 single-authored 17 Klopp, Frédéric 5 Buslaev, Vladimir Savel’evich 3 Shchetka, Ekaterina 1 Faddeev, Lyudvig Dmitrievich 1 Its, Alexander Rudolfovich 1 Laptev, Ari 1 Sandomirskiy, Fedor 1 Sobolev, Alexander V. 1 Suslina, Tat’yana Aleksandrovna 1 Tarasov, Vitaly Olegovich 1 Yafaev, Dimitri R. all top 5 Serials 4 Séminaire Équations aux Dérivées Partielles 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Asymptotic Analysis 1 Mathematical Notes 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Gazette des Mathématiciens 1 Transactions of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 St. Petersburg Mathematical Journal 1 Markov Processes and Related Fields 1 Advances in Theoretical and Mathematical Physics 1 Annales Henri Poincaré all top 5 Fields 18 Ordinary differential equations (34-XX) 12 Quantum theory (81-XX) 8 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 132 times in 59 Documents Cited by ▼ Year ▼ On the difference equations with periodic coefficients. Zbl 1012.39008Buslaev, V.; Fedotov, A. 13 2001 Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case. Zbl 1004.81008Fedotov, Alexander; Klopp, Frédéric 13 2002 An exact renormalization formula for the Maryland model. Zbl 1312.39006Fedotov, Alexander; Sandomirskiy, Fedor 12 2015 An exact renormalization formula for Gaussian exponential sums and applications. Zbl 1303.11092Fedotov, Alexander; Klopp, Frédéric 10 2012 On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. Zbl 1101.34069Fedotov, Alexander; Klopp, Frédéric 10 2005 Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial. Zbl 1385.39001Fedotov, A.; Shchetka, E. 9 2018 A complex WKB method for adiabatic problems. Zbl 1001.34082Fedotov, Alexander; Klopp, Frédéric 9 2001 Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1112.47038Fedotov, Alexander; Klopp, Frédéric 9 2005 On the singular spectrum for adiabatic quasi-periodic Schrödinger operators on the real line. Zbl 1059.81057Fedotov, Alexander; Klopp, Frédéric 7 2004 Monodromization and the Harper equation. Zbl 0880.34082Buslaev, V.; Fedotov, A. 7 1994 Geometric tools of the adiabatic complex WKB method. Zbl 1070.34124Fedotov, Alexander; Klopp, Frédéric 6 2004 The complex WKB method for difference equations and Airy functions. Zbl 1425.39011Fedotov, Alexander; Klopp, Frédéric 5 2019 Weakly resonant tunneling interactions for adiabatic quasi-periodic Schrödinger operators. Zbl 1129.34001Fedotov, Alexander; Klopp, Frédéric 5 2006 Pointwise existence of the Lyapunov exponent for a quasi-periodic equation. Zbl 1156.81370Fedotov, Alexander; Klopp, Frédéric 4 2008 The functional structure of the monodromy matrix for Harper’s equation. Zbl 0816.34058Buslaev, Vladimir; Fedotov, Alexander 3 1994 The spectral theory of adiabatic quasi-periodic operators on the real line. Zbl 1059.34060Fedotov, A.; Klopp, F. 3 2003 Level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1167.81382Fedotov, Alexander; Klopp, Frédéric 2 2006 Adiabatic quasi-periodic Schrödinger operators: interactions between the spectral bands of a periodic operator. (Opérateurs de Schrödinger quasi-périodiques adiabatiques: interactions entre les bandes spectrales d’un opérateur périodique.) Zbl 1292.34050Fedotov, Alexandre; Klopp, Frédéric 1 2004 Renormalization of exponential sums and matrix cocycles. Zbl 1292.34049Fedotov, Alexander; Klopp, Frédéric 1 2005 Coexistence of different spectral types for almost periodic Schrödinger equations in dimension one. Zbl 0974.34080Fedotov, Alexander; Klopp, Frédéric 1 1999 Spectral properties of the monodromy matrix for Harper equation. Zbl 0874.39006Buslaev, V.; Fedotov, A. 1 1996 WKB asymptotics of meromorphic solutions to difference equations. Zbl 1476.39023Fedotov, Alexander; Klopp, Frédéric 1 2021 WKB asymptotics of meromorphic solutions to difference equations. Zbl 1476.39023Fedotov, Alexander; Klopp, Frédéric 1 2021 The complex WKB method for difference equations and Airy functions. Zbl 1425.39011Fedotov, Alexander; Klopp, Frédéric 5 2019 Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial. Zbl 1385.39001Fedotov, A.; Shchetka, E. 9 2018 An exact renormalization formula for the Maryland model. Zbl 1312.39006Fedotov, Alexander; Sandomirskiy, Fedor 12 2015 An exact renormalization formula for Gaussian exponential sums and applications. Zbl 1303.11092Fedotov, Alexander; Klopp, Frédéric 10 2012 Pointwise existence of the Lyapunov exponent for a quasi-periodic equation. Zbl 1156.81370Fedotov, Alexander; Klopp, Frédéric 4 2008 Weakly resonant tunneling interactions for adiabatic quasi-periodic Schrödinger operators. Zbl 1129.34001Fedotov, Alexander; Klopp, Frédéric 5 2006 Level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1167.81382Fedotov, Alexander; Klopp, Frédéric 2 2006 On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. Zbl 1101.34069Fedotov, Alexander; Klopp, Frédéric 10 2005 Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1112.47038Fedotov, Alexander; Klopp, Frédéric 9 2005 Renormalization of exponential sums and matrix cocycles. Zbl 1292.34049Fedotov, Alexander; Klopp, Frédéric 1 2005 On the singular spectrum for adiabatic quasi-periodic Schrödinger operators on the real line. Zbl 1059.81057Fedotov, Alexander; Klopp, Frédéric 7 2004 Geometric tools of the adiabatic complex WKB method. Zbl 1070.34124Fedotov, Alexander; Klopp, Frédéric 6 2004 Adiabatic quasi-periodic Schrödinger operators: interactions between the spectral bands of a periodic operator. (Opérateurs de Schrödinger quasi-périodiques adiabatiques: interactions entre les bandes spectrales d’un opérateur périodique.) Zbl 1292.34050Fedotov, Alexandre; Klopp, Frédéric 1 2004 The spectral theory of adiabatic quasi-periodic operators on the real line. Zbl 1059.34060Fedotov, A.; Klopp, F. 3 2003 Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case. Zbl 1004.81008Fedotov, Alexander; Klopp, Frédéric 13 2002 On the difference equations with periodic coefficients. Zbl 1012.39008Buslaev, V.; Fedotov, A. 13 2001 A complex WKB method for adiabatic problems. Zbl 1001.34082Fedotov, Alexander; Klopp, Frédéric 9 2001 Coexistence of different spectral types for almost periodic Schrödinger equations in dimension one. Zbl 0974.34080Fedotov, Alexander; Klopp, Frédéric 1 1999 Spectral properties of the monodromy matrix for Harper equation. Zbl 0874.39006Buslaev, V.; Fedotov, A. 1 1996 Monodromization and the Harper equation. Zbl 0880.34082Buslaev, V.; Fedotov, A. 7 1994 The functional structure of the monodromy matrix for Harper’s equation. Zbl 0816.34058Buslaev, Vladimir; Fedotov, Alexander 3 1994 all cited Publications top 5 cited Publications all top 5 Cited by 56 Authors 8 Lyalinov, Mikhail Anatolievich 7 Fedotov, Alexander 6 Klopp, Frédéric 5 Dobrokhotov, Sergei Yurievich 3 Chen, Changhao 3 Jitomirskaya, Svetlana Yakovlevna 3 Karpeshina, Yulia E. 3 Shparlinski, Igor E. 3 Shterenberg, Roman G. 3 Tsvetkova, Anna V. 2 Anikin, A. Yu. 2 Cellarosi, Francesco 2 Liu, Wencai 2 Marklof, Jens 2 Shchetka, E. V. 2 Shchetka, Ekaterina 2 Vybornyi, E. V. 2 Zhu, Ning Yan 1 Avila, Artur 1 Babich, Vasiliĭ Mikhaĭlovich 1 Baker, Roger C. 1 Belov, Vladimir Vasilyevich 1 Brüning, Jochen 1 Budylin, A. M. 1 Chiang, Yik-Man 1 Cosentino, Salvatore 1 Damanik, David 1 Dmitrieva, L. A. 1 Flaminio, Livio 1 Forni, Giovanni 1 Griffin, Jory 1 Han, Rui 1 Helffer, Bernard 1 Huet, Denise 1 Kerdelhué, Phillippe 1 Komech, Alexander Ilich 1 Lemm, Marius 1 Levin, S. B. 1 Marx, Magali 1 Najar, Hatem 1 Nazaikinskii, Vladimir E. 1 Perel, Maria V. 1 Ravotti, Davide 1 Rivoal, Tanguy 1 Ruijsenaars, Simon N. M. 1 Rybakina, E. A. 1 Sandomirskiy, Fedor 1 Schlag, Wilhelm 1 Seuret, Stéphane 1 Sintsova, Ksenia 1 Sukhanov, Vladimir V. 1 Sun, Yingte 1 Tudorovskii, T. Ya. 1 Ulcigrai, Corinna 1 Yang, Fan 1 Zhang, Shiwen all top 5 Cited in 35 Serials 5 Journal of Mathematical Sciences (New York) 5 St. Petersburg Mathematical Journal 4 Mathematical Notes 3 Functional Analysis and its Applications 3 Russian Journal of Mathematical Physics 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Theoretical and Mathematical Physics 2 Wave Motion 2 Ergodic Theory and Dynamical Systems 2 Journal of Modern Dynamics 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Number Theory 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 European Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Advances in Mathematical Physics 1 Journal of Spectral Theory 1 Journal of Operators 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 26 Fields 21 Ordinary differential equations (34-XX) 21 Difference and functional equations (39-XX) 17 Quantum theory (81-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Operator theory (47-XX) 11 Partial differential equations (35-XX) 7 Number theory (11-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Citations by Year