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## Jitomirskaya, Svetlana Yakovlevna

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 Author ID: jitomirskaya.svetlana-ya Published as: Jitomirskaya, Svetlana; Jitomirskaya, S.; Jitomirskaya, Svetlana Ya.; Zhitomirskaya, S. Ya.; Jitomirskaya, S. Ya. Further Spellings: Zhitomirskaya, Svetlana Yakovlevna; Zhytomyrs’ka, Svitlana Yakivna; Житомирская Светлана Яковлевна; Житомирська Світлана Яківна Homepage: https://www.math.uci.edu/~szhitomi/ External Links: Women in Mathematics · MacTutor · MGP · Wikidata · Google Scholar · Math-Net.Ru
 Documents Indexed: 68 Publications since 1990 1 Contribution as Editor 1 Further Contribution
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#### Co-Authors

 12 single-authored 10 Liu, Wencai 8 Avila Cordeiro de Melo, Artur 8 Last, Yoram 5 Marx, Christoph A. 5 Simon, Barry 4 Han, Rui 3 Bourgain, Jean 2 Damanik, David 2 del Río Castillo, Rafael René 2 Kachkovskiy, Ilya V. 2 Koslover, D. A. 2 Krüger, Helge 2 Mavi, Rajinder 2 Schulteis, M. S. 2 Schulz-Baldes, Hermann 2 Yang, Fan 1 Avron, Joseph E. 1 Becker, Simon 1 Breuer, Jonathan 1 Daubechies, Ingrid Chantal 1 Delbaen, Freddy 1 Germinet, François 1 Gesztesy, Fritz 1 Gordon, Alexander Ya. 1 Guth, Lawrence David 1 Klein, Abel 1 Kontorovich, Alex V. 1 Krasovsky, Igor V. 1 Landrigan, Michael 1 Lindenstrauss, Elon 1 Makarov, Nikolai Georgievich 1 Mandelshtam, Vladimir A. 1 Martínez-Finkelshtein, Andrei 1 Milman, Vitali D. 1 Molchanov, Stanislav Alekseevich 1 Pisier, Gilles 1 Rudnick, Zeév 1 Sadel, Christian 1 Sarnak, Peter Clive 1 Schlag, Wilhelm 1 Shi, Yunfeng 1 Staffilani, Gigliola 1 Stolz, Gunter 1 Tao, Terence 1 Vaĭnberg, Boris Rufimovich 1 Varjú, Péter Pál 1 Zhang, Shiwen 1 Zhou, Qi 1 Zhu, Xiaowen
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#### Serials

 15 Communications in Mathematical Physics 4 Journal of Statistical Physics 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Ergodic Theory and Dynamical Systems 3 Geometric and Functional Analysis. GAFA 3 Mathematical Research Letters 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 2 Russian Mathematical Surveys 2 Acta Mathematica 2 Notices of the American Mathematical Society 2 Physical Review Letters 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Annales Henri Poincaré 1 Oberwolfach Reports 1 Journal of Fixed Point Theory and Applications 1 Analysis & PDE 1 Journal of Spectral Theory
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#### Fields

 43 Operator theory (47-XX) 32 Quantum theory (81-XX) 20 Ordinary differential equations (34-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Difference and functional equations (39-XX) 8 Partial differential equations (35-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

59 Publications have been cited 1,095 times in 471 Documents Cited by Year
The Ten Martini problem. Zbl 1166.47031
Avila, Artur; Jitomirskaya, Svetlana
2009
Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization. Zbl 0908.47002
del Rio, Rafael; Jitomirskaya, S.; Last, Y.; Simon, Barry
1996
Metal-insulator transition for the almost Mathieu operator. Zbl 0946.47018
Jitomirskaya, Svetlana Ya.
1999
Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential. Zbl 1039.81019
Bourgain, J.; Jitomirskaya, S.
2002
Almost localization and almost reducibility. Zbl 1185.47028
Avila, Artur; Jitomirskaya, Svetlana
2010
Power-law subordinacy and singular spectra. I: Half-line operators. Zbl 0991.81021
Jitomirskaya, Svetlana; Last, Yoram
1999
Operators with singular continuous spectrum. III: Almost periodic Schrödinger operators. Zbl 0830.34074
Jitomirskaya, Svetlana Ya.; Simon, Barry
1994
Delocalization in random polymer models. Zbl 1013.82027
Jitomirskaya, S.; Schulz-Baldes, H.; Stolz, G.
2003
Power law subordinacy and singular spectra. II: Line operators. Zbl 1053.81031
Jitomirskaya, Svetlana Ya.; Last, Yoram
2000
Duality and singular continuous spectrum in the almost Mathieu equation. Zbl 0897.34074
Gordon, A. Y.; Jitomirskaya, S.; Last, Y.; Simon, B.
1997
Absolutely continuous spectrum for 1D quasiperiodic operators. Zbl 1036.47019
Bourgain, J.; Jitomirskaya, S.
2002
Analytic quasi-perodic cocycles with singularities and the Lyapunov exponent of extended Harper’s model. Zbl 1277.37007
Jitomirskaya, S.; Marx, C. A.
2012
Localization for a family of one-dimensional quasiperiodic operators of magnetic origin. Zbl 1062.81029
Jitomirskaya, S.; Koslover, D. A.; Schulteis, M. S.
2005
Complex one-frequency cocycles. Zbl 1351.37136
Avila, Artur; Jitomirskaya, Svetlana; Sadel, Christian
2014
Dynamics and spectral theory of quasi-periodic Schrödinger-type operators. Zbl 1384.37011
Marx, C. A.; Jitomirskaya, S.
2017
Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles. Zbl 1209.37016
Jitomirskaya, S.; Koslover, D. A.; Schulteis, M. S.
2009
Spectral theory of extended Harper’s model and a question by Erdős and Szekeres. Zbl 1380.37019
Avila, A.; Jitomirskaya, S.; Marx, C. A.
2017
Universal hierarchical structure of quasiperiodic eigenfunctions. Zbl 1470.47025
Jitomirskaya, Svetlana; Liu, Wencai
2018
Arithmetic spectral transitions for the Maryland model. Zbl 06734215
Jitomirskaya, Svetlana; Liu, Wencai
2017
Almost everything about the almost Mathieu operator. II. Zbl 1052.82539
Jitomirskaya, Svetlana Ya.
1995
Anderson localization for the almost Mathieu equation: A nonperturbative proof. Zbl 0830.34072
Jitomirskaya, Svetlana Ya.
1994
Ergodic Schrödinger operators (on one foot). Zbl 1129.82018
Jitomirskaya, Svetlana
2007
Anderson localization for the band model. Zbl 1039.81018
Bourgain, J.; Jitomirskaya, S.
2000
Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities. Zbl 1236.37008
Jitomirskaya, S.; Marx, C. A.
2011
1$$D$$-quasiperiodic operators. Latent symmetries. Zbl 0735.34071
Mandelshtam, V. A.; Zhitomirskaya, S. Ya.
1991
Analytic quasi-periodic Schrödinger operators and rational frequency approximants. Zbl 1263.47037
Jitomirskaya, S.; Marx, C. A.
2012
Continuity of the measure of the spectrum for discrete quasiperiodic operators. Zbl 1020.47002
Jitomirskaya, S. Ya.; Krasovsky, I. V.
2002
Anderson localization for the almost Mathieu equation. III: Semi-uniform localization, continuity of gaps, and measure of the spectrum. Zbl 0922.34074
Jitomirskaya, Svetlana Ya.; Last, Yoram
1998
$$L^2$$-reducibility and localization for quasiperiodic operators. Zbl 1351.81048
Jitomirskaya, Svetlana; Kachkovskiy, Ilya
2016
Singular continuous spectrum is generic. Zbl 0803.47006
del Río Castillo, Rafael René; Jitomirskaya, Svetlana Ya.; Makarov, Nikolai G.; Simon, Barry
1994
Full measure reducibility and localization for quasiperiodic Jacobi operators: a topological criterion. Zbl 06776225
Han, Rui; Jitomirskaya, Svetlana
2017
Strong dynamical localization for the almost Mathieu model. Zbl 1029.81026
Germinet, François; Jitomirskaya, Svetlana
2001
Singular continuous spectrum for singular potentials. Zbl 1422.47036
Jitomirskaya, Svetlana; Yang, Fan
2017
Large deviations of the Lyapunov exponent and localization for the 1D Anderson model. Zbl 07083976
Jitomirskaya, Svetlana; Zhu, Xiaowen
2019
Dynamical bounds for quasiperiodic Schrödinger operators with rough potentials. Zbl 1405.35175
Jitomirskaya, Svetlana; Mavi, Rajinder
2017
Discrete Bethe-Sommerfeld conjecture. Zbl 1403.35190
Han, Rui; Jitomirskaya, Svetlana
2018
Continuity of the measure of the spectrum for quasiperiodic Schrödinger operators with rough potentials. Zbl 1323.47037
Jitomirskaya, Svetlana; Mavi, Rajinder
2014
Hölder continuity of absolutely continuous spectral measures for one-frequency Schrödinger operators. Zbl 1215.47025
Avila, Artur; Jitomirskaya, Svetlana
2011
Continuous spectrum and uniform localization for ergodic Schrödinger operators. Zbl 0883.47044
Jitomirskaya, Svetlana Ya.
1997
Anderson localization for the almost Mathieu equation. II: Point spectrum for $$\lambda > 2$$. Zbl 0830.34073
Jitomirskaya, Svetlana Ya.
1995
Dimensional Hausdorff properties of singular continuous spectra. Zbl 0944.81508
Jitomirskaya, Svetlana Ya.; Last, Yoram
1996
Solving the Ten Martini problem. Zbl 1166.47303
Avila, Artur; Jitomirskaya, Svetlana
2006
Upper bounds on wavepacket spreading for random Jacobi matrices. Zbl 1144.82035
Jitomirskaya, Svetlana; Schulz-Baldes, Hermann
2007
Anderson localization for multi-frequency quasi-periodic operators on $$\mathbb{Z}^d$$. Zbl 07219753
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng
2020
From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037
Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei
2016
All couplings localization for quasiperiodic operators with monotone potentials. Zbl 07036221
Jitomirskaya, Svetlana; Kachkovskiy, Ilya
2019
Nonperturbative localization. Zbl 1137.47304
Jitomirskaya, S.
2002
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian. Zbl 1430.58022
Jitomirskaya, Svetlana; Liu, Wencai
2019
Cantor spectrum of graphene in magnetic fields. Zbl 1447.82041
Becker, Simon; Han, Rui; Jitomirskaya, Svetlana
2019
Exponential dynamical localization for the almost Mathieu operator. Zbl 1283.47033
Jitomirskaya, Svetlana; Krüger, Helge
2013
Dimensional Hausdorff properties of singular continuous spectra. Zbl 0935.81018
Jitomirskaya, Svetlana; Last, Yoram
1996
Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. Zbl 1101.82306
Jitomirskaya, Svetlana; Klein, Abel
1993
Second phase transition line. Zbl 1416.37010
Avila, Artur; Jitomirskaya, Svetlana; Zhou, Qi
2018
Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053
Jitomirskaya, Svetlana; Yang, Fan
2021
Singular spectral properties of a one-dimensional Schrödinger operator with almost periodic potential. Zbl 0734.34075
Zhitomirskaya, S. Ya.
1991
Zero-dimensional spectral measures for quasi-periodic operators with analytic potential. Zbl 0989.34068
Jitomirskaya, S.; Landrigan, M.
2000
Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian. I: The hyperbolic case. Zbl 07222187
Jitomirskaya, Svetlana; Liu, Wencai
2020
Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy. Zbl 06991221
Han, Rui; Jitomirskaya, Svetlana
2019
Arithmetic spectral transitions: a competition between hyperbolicity and the arithmetics of small denominators. Zbl 07362611
Jitomirskaya, Svetlana; Liu, Wencai; Zhang, Shiwen
2020
Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053
Jitomirskaya, Svetlana; Yang, Fan
2021
Anderson localization for multi-frequency quasi-periodic operators on $$\mathbb{Z}^d$$. Zbl 07219753
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng
2020
Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian. I: The hyperbolic case. Zbl 07222187
Jitomirskaya, Svetlana; Liu, Wencai
2020
Arithmetic spectral transitions: a competition between hyperbolicity and the arithmetics of small denominators. Zbl 07362611
Jitomirskaya, Svetlana; Liu, Wencai; Zhang, Shiwen
2020
Large deviations of the Lyapunov exponent and localization for the 1D Anderson model. Zbl 07083976
Jitomirskaya, Svetlana; Zhu, Xiaowen
2019
All couplings localization for quasiperiodic operators with monotone potentials. Zbl 07036221
Jitomirskaya, Svetlana; Kachkovskiy, Ilya
2019
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian. Zbl 1430.58022
Jitomirskaya, Svetlana; Liu, Wencai
2019
Cantor spectrum of graphene in magnetic fields. Zbl 1447.82041
Becker, Simon; Han, Rui; Jitomirskaya, Svetlana
2019
Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy. Zbl 06991221
Han, Rui; Jitomirskaya, Svetlana
2019
Universal hierarchical structure of quasiperiodic eigenfunctions. Zbl 1470.47025
Jitomirskaya, Svetlana; Liu, Wencai
2018
Discrete Bethe-Sommerfeld conjecture. Zbl 1403.35190
Han, Rui; Jitomirskaya, Svetlana
2018
Second phase transition line. Zbl 1416.37010
Avila, Artur; Jitomirskaya, Svetlana; Zhou, Qi
2018
Dynamics and spectral theory of quasi-periodic Schrödinger-type operators. Zbl 1384.37011
Marx, C. A.; Jitomirskaya, S.
2017
Spectral theory of extended Harper’s model and a question by Erdős and Szekeres. Zbl 1380.37019
Avila, A.; Jitomirskaya, S.; Marx, C. A.
2017
Arithmetic spectral transitions for the Maryland model. Zbl 06734215
Jitomirskaya, Svetlana; Liu, Wencai
2017
Full measure reducibility and localization for quasiperiodic Jacobi operators: a topological criterion. Zbl 06776225
Han, Rui; Jitomirskaya, Svetlana
2017
Singular continuous spectrum for singular potentials. Zbl 1422.47036
Jitomirskaya, Svetlana; Yang, Fan
2017
Dynamical bounds for quasiperiodic Schrödinger operators with rough potentials. Zbl 1405.35175
Jitomirskaya, Svetlana; Mavi, Rajinder
2017
$$L^2$$-reducibility and localization for quasiperiodic operators. Zbl 1351.81048
Jitomirskaya, Svetlana; Kachkovskiy, Ilya
2016
From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037
Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei
2016
Complex one-frequency cocycles. Zbl 1351.37136
Avila, Artur; Jitomirskaya, Svetlana; Sadel, Christian
2014
Continuity of the measure of the spectrum for quasiperiodic Schrödinger operators with rough potentials. Zbl 1323.47037
Jitomirskaya, Svetlana; Mavi, Rajinder
2014
Exponential dynamical localization for the almost Mathieu operator. Zbl 1283.47033
Jitomirskaya, Svetlana; Krüger, Helge
2013
Analytic quasi-perodic cocycles with singularities and the Lyapunov exponent of extended Harper’s model. Zbl 1277.37007
Jitomirskaya, S.; Marx, C. A.
2012
Analytic quasi-periodic Schrödinger operators and rational frequency approximants. Zbl 1263.47037
Jitomirskaya, S.; Marx, C. A.
2012
Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities. Zbl 1236.37008
Jitomirskaya, S.; Marx, C. A.
2011
Hölder continuity of absolutely continuous spectral measures for one-frequency Schrödinger operators. Zbl 1215.47025
Avila, Artur; Jitomirskaya, Svetlana
2011
Almost localization and almost reducibility. Zbl 1185.47028
Avila, Artur; Jitomirskaya, Svetlana
2010
The Ten Martini problem. Zbl 1166.47031
Avila, Artur; Jitomirskaya, Svetlana
2009
Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles. Zbl 1209.37016
Jitomirskaya, S.; Koslover, D. A.; Schulteis, M. S.
2009
Ergodic Schrödinger operators (on one foot). Zbl 1129.82018
Jitomirskaya, Svetlana
2007
Upper bounds on wavepacket spreading for random Jacobi matrices. Zbl 1144.82035
Jitomirskaya, Svetlana; Schulz-Baldes, Hermann
2007
Solving the Ten Martini problem. Zbl 1166.47303
Avila, Artur; Jitomirskaya, Svetlana
2006
Localization for a family of one-dimensional quasiperiodic operators of magnetic origin. Zbl 1062.81029
Jitomirskaya, S.; Koslover, D. A.; Schulteis, M. S.
2005
Delocalization in random polymer models. Zbl 1013.82027
Jitomirskaya, S.; Schulz-Baldes, H.; Stolz, G.
2003
Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential. Zbl 1039.81019
Bourgain, J.; Jitomirskaya, S.
2002
Absolutely continuous spectrum for 1D quasiperiodic operators. Zbl 1036.47019
Bourgain, J.; Jitomirskaya, S.
2002
Continuity of the measure of the spectrum for discrete quasiperiodic operators. Zbl 1020.47002
Jitomirskaya, S. Ya.; Krasovsky, I. V.
2002
Nonperturbative localization. Zbl 1137.47304
Jitomirskaya, S.
2002
Strong dynamical localization for the almost Mathieu model. Zbl 1029.81026
Germinet, François; Jitomirskaya, Svetlana
2001
Power law subordinacy and singular spectra. II: Line operators. Zbl 1053.81031
Jitomirskaya, Svetlana Ya.; Last, Yoram
2000
Anderson localization for the band model. Zbl 1039.81018
Bourgain, J.; Jitomirskaya, S.
2000
Zero-dimensional spectral measures for quasi-periodic operators with analytic potential. Zbl 0989.34068
Jitomirskaya, S.; Landrigan, M.
2000
Metal-insulator transition for the almost Mathieu operator. Zbl 0946.47018
Jitomirskaya, Svetlana Ya.
1999
Power-law subordinacy and singular spectra. I: Half-line operators. Zbl 0991.81021
Jitomirskaya, Svetlana; Last, Yoram
1999
Anderson localization for the almost Mathieu equation. III: Semi-uniform localization, continuity of gaps, and measure of the spectrum. Zbl 0922.34074
Jitomirskaya, Svetlana Ya.; Last, Yoram
1998
Duality and singular continuous spectrum in the almost Mathieu equation. Zbl 0897.34074
Gordon, A. Y.; Jitomirskaya, S.; Last, Y.; Simon, B.
1997
Continuous spectrum and uniform localization for ergodic Schrödinger operators. Zbl 0883.47044
Jitomirskaya, Svetlana Ya.
1997
Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization. Zbl 0908.47002
del Rio, Rafael; Jitomirskaya, S.; Last, Y.; Simon, Barry
1996
Dimensional Hausdorff properties of singular continuous spectra. Zbl 0944.81508
Jitomirskaya, Svetlana Ya.; Last, Yoram
1996
Dimensional Hausdorff properties of singular continuous spectra. Zbl 0935.81018
Jitomirskaya, Svetlana; Last, Yoram
1996
Almost everything about the almost Mathieu operator. II. Zbl 1052.82539
Jitomirskaya, Svetlana Ya.
1995
Anderson localization for the almost Mathieu equation. II: Point spectrum for $$\lambda > 2$$. Zbl 0830.34073
Jitomirskaya, Svetlana Ya.
1995
Operators with singular continuous spectrum. III: Almost periodic Schrödinger operators. Zbl 0830.34074
Jitomirskaya, Svetlana Ya.; Simon, Barry
1994
Anderson localization for the almost Mathieu equation: A nonperturbative proof. Zbl 0830.34072
Jitomirskaya, Svetlana Ya.
1994
Singular continuous spectrum is generic. Zbl 0803.47006
del Río Castillo, Rafael René; Jitomirskaya, Svetlana Ya.; Makarov, Nikolai G.; Simon, Barry
1994
Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. Zbl 1101.82306
Jitomirskaya, Svetlana; Klein, Abel
1993
1$$D$$-quasiperiodic operators. Latent symmetries. Zbl 0735.34071
Mandelshtam, V. A.; Zhitomirskaya, S. Ya.
1991
Singular spectral properties of a one-dimensional Schrödinger operator with almost periodic potential. Zbl 0734.34075
Zhitomirskaya, S. Ya.
1991
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#### Cited by 399 Authors

 54 Damanik, David 41 Jitomirskaya, Svetlana Yakovlevna 19 de Oliveira, César R. 19 Simon, Barry 16 Avila Cordeiro de Melo, Artur 16 Liu, Wencai 16 You, Jiangong 15 Fillman, Jake 12 Zhou, Qi 11 Last, Yoram 11 Stolz, Gunter 10 Carvalho, Silas L. 10 Germinet, François 9 Bourgain, Jean 9 Han, Rui 9 Krüger, Helge 9 Tcheremchantsev, Serguei 8 Gorodetskii, Anton Semenovich 8 Klein, Abel 8 Lenz, Daniel H. 8 Yuan, Xiaoping 7 Breuer, Jonathan 7 Klein, Silvius 7 Liu, Qinghui 7 Marx, Christoph A. 7 Zhang, Shiwen 7 Zhao, Xin 6 Goldstein, Michael 6 Prado, Roberto A. 6 Qu, Yanhui 6 Shterenberg, Roman G. 5 del Río Castillo, Rafael René 5 Duarte, Pedro 5 Elgart, Alexander 5 Gordon, Alexander Ya. 5 Kachkovskiy, Ilya V. 5 Karpeshina, Yulia E. 5 Killip, Rowan 5 Kiselev, Alexander A. 5 Klopp, Frédéric 5 Remling, Christian 5 Schlag, Wilhelm 5 Schulz-Baldes, Hermann 5 Shi, Yunfeng 5 Sims, Robert L. 5 Voda, Mircea 5 Yang, Fan 5 Zhang, Zhenghe 4 Barbaroux, Jean-Marie 4 Binder, Ilia A. 4 Chulaevsky, Victor 4 Hou, Xuanji 4 Oertel-Jäger, Tobias Hendrik 4 Ong, Darren C. 4 Schenker, Jeffrey H. 4 Taarabt, Amal 4 Tao, Kai 4 Viana, Marcelo 4 Wreszinski, Walter F. 3 Beckus, Siegfried 3 Bucaj, Valmir 3 Combes, Jean-Michel 3 Fu, Linlin 3 Gan, Zheng 3 Ge, Lingrui 3 Gerbuz, Vitaly 3 Knill, Oliver 3 Koch, Hans-Friedrich 3 Krikorian, Raphaël 3 Lukic, Milivoje 3 Marchetti, Domingos H. U. 3 Mastropietro, Vieri 3 Mavi, Rajinder 3 Naboko, Serguei N. 3 Puig, Joaquim 3 Sadel, Christian 3 Sukhtaiev, Selim 3 Wang, Yiqian 3 Werner, Albert H. 3 Xu, Jiahao 3 Yuditskii, Peter Meerovich 3 Zhao, Zhiyan 2 Aizenman, Michael 2 Aloisio, Moacir 2 Alpan, Gökalp 2 Bazao, Vanderléa R. 2 Bellissard, Jean V. 2 Bikchentaev, Aĭrat Midkhatovich 2 Bjerklöv, Kristian 2 Boshernitzan, Michael D. 2 Bourget, Olivier 2 Cai, Ao 2 Carvalho, Túlio O. 2 Cedzich, Christopher 2 Ehrhardt, Torsten 2 Embree, Mark 2 Fedotov, Alexander 2 Geng, Jiansheng 2 Geng, Wenmeng 2 Gesztesy, Fritz ...and 299 more Authors
all top 5

#### Cited in 107 Serials

 56 Communications in Mathematical Physics 36 Journal of Mathematical Physics 33 Journal of Functional Analysis 21 Proceedings of the American Mathematical Society 19 Annales Henri Poincaré 14 Duke Mathematical Journal 13 Journal d’Analyse Mathématique 13 Journal of Statistical Physics 12 Ergodic Theory and Dynamical Systems 11 Journal of Spectral Theory 9 Journal of Mathematical Analysis and Applications 9 Letters in Mathematical Physics 9 Advances in Mathematics 9 Inventiones Mathematicae 9 Transactions of the American Mathematical Society 9 Mathematical Physics, Analysis and Geometry 8 Journal of the European Mathematical Society (JEMS) 7 Reviews in Mathematical Physics 7 Journal of Differential Equations 6 Acta Mathematica 6 Geometric and Functional Analysis. GAFA 6 Discrete and Continuous Dynamical Systems 6 Annals of Mathematics. Second Series 5 Nonlinearity 5 Journal of Approximation Theory 5 Mathematische Zeitschrift 4 Mathematical Notes 4 Integral Equations and Operator Theory 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Frontiers of Mathematics in China 3 Applicable Analysis 3 Arkiv för Matematik 3 Mathematische Annalen 3 Journal of the American Mathematical Society 3 Journal of Dynamics and Differential Equations 3 Journal of Difference Equations and Applications 3 Oberwolfach Reports 2 International Journal of Modern Physics B 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Reports on Mathematical Physics 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Physical Review Letters 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Modern Dynamics 2 Operators and Matrices 2 Bulletin of Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Linear and Multilinear Algebra 1 Physica A 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 European Journal of Combinatorics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Sugaku Expositions 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Brazilian Journal of Probability and Statistics 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Journal of Statistical Mechanics: Theory and Experiment 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications ...and 7 more Serials
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#### Cited in 42 Fields

 245 Operator theory (47-XX) 186 Quantum theory (81-XX) 133 Dynamical systems and ergodic theory (37-XX) 116 Statistical mechanics, structure of matter (82-XX) 100 Ordinary differential equations (34-XX) 85 Partial differential equations (35-XX) 57 Difference and functional equations (39-XX) 26 Probability theory and stochastic processes (60-XX) 24 Measure and integration (28-XX) 22 Functional analysis (46-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 13 Number theory (11-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 9 Combinatorics (05-XX) 9 Functions of a complex variable (30-XX) 7 Special functions (33-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

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