## Zinchenko, Maxim

Compute Distance To:
 Author ID: zinchenko.maxim Published as: Zinchenko, Maxim; Zinchenko, M.
 Documents Indexed: 47 Publications since 2005 Co-Authors: 18 Co-Authors with 45 Joint Publications 487 Co-Co-Authors
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### Co-Authors

 2 single-authored 21 Gesztesy, Fritz 12 Christiansen, Jacob Stordal 11 Simon, Barry 6 Weikard, Rudi 5 Mitrea, Marius 3 Schiefermayr, Klaus 3 Skripka, Anna 2 Alpan, Gökalp 2 Latushkin, Yuri 2 Makarov, Konstantin A. 1 Breuer, Jonathan 1 Naboko, Serguei N. 1 Nichols, Roger 1 Novello, Galen 1 Poltoratski, Alexei G. 1 Ryckman, Eric 1 Shterenberg, Roman G. 1 Yuditskii, Peter Meerovich
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### Serials

 3 Journal d’Analyse Mathématique 3 Journal of Approximation Theory 3 Constructive Approximation 3 Operators and Matrices 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 Russian Journal of Mathematical Physics 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Applicandae Mathematicae 1 Linear Algebra and its Applications 1 Discrete and Continuous Dynamical Systems 1 Skrifter. Det Kongelige Norske Videnskabers Selskab 1 Annales Henri Poincaré 1 Mathematical Modelling of Natural Phenomena 1 Annals of Functional Analysis
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### Fields

 27 Operator theory (47-XX) 21 Ordinary differential equations (34-XX) 9 Functions of a complex variable (30-XX) 8 Approximations and expansions (41-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Quantum theory (81-XX) 5 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX)

### Citations contained in zbMATH Open

38 Publications have been cited 415 times in 261 Documents Cited by Year
On spectral theory for Schrödinger operators with strongly singular potentials. Zbl 1108.34063
Gesztesy, Fritz; Zinchenko, Maxim
2006
Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.
2005
Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023
Gesztesy, Fritz; Zinchenko, Maxim
2006
Variations on a theme of Jost and Pais. Zbl 1133.47010
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim
2007
Finite gap Jacobi matrices. I: The isospectral torus. Zbl 1200.42012
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2010
Asymptotics of Chebyshev polynomials. I: Subsets of $${\mathbb {R}}$$. Zbl 1369.41031
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2017
Finite gap Jacobi matrices. II: The Szegő class. Zbl 1236.42021
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2011
A Borg-type theorem associated with orthogonal polynomials on the unit circle. Zbl 1131.47027
Gesztesy, Fritz; Zinchenko, Maxim
2006
Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited. Zbl 1165.34050
Gesztesy, Fritz; Makarov, Konstantin A.; Zinchenko, Maxim
2008
Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051
Gesztesy, Fritz; Zinchenko, Maxim
2009
Weyl-Titchmarsh theory and Borg-Marchenko-type uniqueness results for CMV operators with matrix-valued Verblunsky coefficients. Zbl 1142.34014
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
2007
Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas. Zbl 1247.34030
Gesztesy, Fritz; Zinchenko, Maxim
2012
Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials. Zbl 1283.34023
Gesztesy, Fritz; Weikard, R.; Zinchenko, Maxim
2013
The Hilbert transform of a measure. Zbl 1211.30052
Poltoratski, Alexei; Simon, Barry; Zinchenko, Maxim
2010
Renormalized oscillation theory for Hamiltonian systems. Zbl 1381.34050
Gesztesy, Fritz; Zinchenko, Maxim
2017
Finite gap Jacobi matrices. III: Beyond the Szegő class. Zbl 1238.42009
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2012
Boundary data maps and Krein’s resolvent formula for Sturm-Liouville operators on a finite interval. Zbl 1311.34037
Clark, Stephen; Gesztesy, Fritz; Nichols, Roger; Zinchenko, Maxim
2014
Asymptotics of Chebyshev polynomials. II: DCT subsets of $$\mathbb{R}$$. Zbl 1426.41035
Christiansen, Jacob S.; Simon, Barry; Yuditskii, Peter; Zinchenko, Maxim
2019
On spectral theory for Schrödinger operators with operator-valued potentials. Zbl 1291.34139
Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim
2013
Asymptotics of Chebyshev polynomials. III: Sets saturating Szegő, Schiefermayr, and Totik-Widom bounds. Zbl 1448.41026
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2020
On Dirichlet-to-Neumann maps and some applications to modified Fredholm determinants. Zbl 1169.47014
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim
2009
Multi-dimensional versions of a determinant formula due to Jost and Pais. Zbl 1207.47043
Gesztesy, F.; Mitrea, M.; Zinchenko, M.
2007
Finite gap Jacobi matrices: a review. Zbl 1319.47028
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2013
Right limits and reflectionless measures for CMV matrices. Zbl 1188.35172
Breuer, Jonathan; Ryckman, Eric; Zinchenko, Maxim
2009
Finite gap Jacobi matrices: An announcement. Zbl 1174.42028
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2009
Borg–Marchenko type uniqueness results for CMV operators. Zbl 1165.47021
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
2008
Sharp lower bounds for the Widom factors on the real line. Zbl 1439.30008
Alpan, Gökalp; Zinchenko, Maxim
2020
Lieb-Thirring inequalities for complex finite gap Jacobi matrices. Zbl 06793826
Christiansen, Jacob S.; Zinchenko, Maxim
2017
On the Widom factors for $$L_p$$ extremal polynomials. Zbl 1452.41003
Alpan, Gökalp; Zinchenko, Maxim
2020
Asymptotics of Chebyshev polynomials. IV: Comments on the complex case. Zbl 1472.30001
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2020
Norm estimates for Chebyshev polynomials, I. Zbl 1462.41012
Schiefermayr, Klaus; Zinchenko, Maxim
2021
On a class of model Hilbert spaces. Zbl 1448.46032
Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim
2013
Minimal rank decoupling of full-lattice CMV operators with scalar- and matrix-valued Verblunsky coefficients. Zbl 1172.39026
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
2009
Lieb-Thirring inequalities for finite and infinite gap Jacobi matrices. Zbl 1368.81073
Christiansen, Jacob S.; Zinchenko, Maxim
2017
The inverse resonance problem for CMV operators. Zbl 1189.81230
Weikard, Rudi; Zinchenko, Maxim
2010
On a perturbation determinant for accumulative operators. Zbl 1322.47036
Makarov, Konstantin A.; Skripka, Anna; Zinchenko, Maxim
2015
Weighted Chebyshev polynomials on compact subsets of the complex plane. Zbl 1483.30023
Novello, Galen; Schiefermayr, Klaus; Zinchenko, Maxim
2021
Stability for the inverse resonance problem for the CMV operator. Zbl 1321.47077
Shterenberg, Roman; Weikard, Rudi; Zinchenko, Maxim
2013
Norm estimates for Chebyshev polynomials, I. Zbl 1462.41012
Schiefermayr, Klaus; Zinchenko, Maxim
2021
Weighted Chebyshev polynomials on compact subsets of the complex plane. Zbl 1483.30023
Novello, Galen; Schiefermayr, Klaus; Zinchenko, Maxim
2021
Asymptotics of Chebyshev polynomials. III: Sets saturating Szegő, Schiefermayr, and Totik-Widom bounds. Zbl 1448.41026
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2020
Sharp lower bounds for the Widom factors on the real line. Zbl 1439.30008
Alpan, Gökalp; Zinchenko, Maxim
2020
On the Widom factors for $$L_p$$ extremal polynomials. Zbl 1452.41003
Alpan, Gökalp; Zinchenko, Maxim
2020
Asymptotics of Chebyshev polynomials. IV: Comments on the complex case. Zbl 1472.30001
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2020
Asymptotics of Chebyshev polynomials. II: DCT subsets of $$\mathbb{R}$$. Zbl 1426.41035
Christiansen, Jacob S.; Simon, Barry; Yuditskii, Peter; Zinchenko, Maxim
2019
Asymptotics of Chebyshev polynomials. I: Subsets of $${\mathbb {R}}$$. Zbl 1369.41031
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2017
Renormalized oscillation theory for Hamiltonian systems. Zbl 1381.34050
Gesztesy, Fritz; Zinchenko, Maxim
2017
Lieb-Thirring inequalities for complex finite gap Jacobi matrices. Zbl 06793826
Christiansen, Jacob S.; Zinchenko, Maxim
2017
Lieb-Thirring inequalities for finite and infinite gap Jacobi matrices. Zbl 1368.81073
Christiansen, Jacob S.; Zinchenko, Maxim
2017
On a perturbation determinant for accumulative operators. Zbl 1322.47036
Makarov, Konstantin A.; Skripka, Anna; Zinchenko, Maxim
2015
Boundary data maps and Krein’s resolvent formula for Sturm-Liouville operators on a finite interval. Zbl 1311.34037
Clark, Stephen; Gesztesy, Fritz; Nichols, Roger; Zinchenko, Maxim
2014
Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials. Zbl 1283.34023
Gesztesy, Fritz; Weikard, R.; Zinchenko, Maxim
2013
On spectral theory for Schrödinger operators with operator-valued potentials. Zbl 1291.34139
Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim
2013
Finite gap Jacobi matrices: a review. Zbl 1319.47028
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2013
On a class of model Hilbert spaces. Zbl 1448.46032
Gesztesy, Fritz; Weikard, Rudi; Zinchenko, Maxim
2013
Stability for the inverse resonance problem for the CMV operator. Zbl 1321.47077
Shterenberg, Roman; Weikard, Rudi; Zinchenko, Maxim
2013
Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas. Zbl 1247.34030
Gesztesy, Fritz; Zinchenko, Maxim
2012
Finite gap Jacobi matrices. III: Beyond the Szegő class. Zbl 1238.42009
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2012
Finite gap Jacobi matrices. II: The Szegő class. Zbl 1236.42021
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2011
Finite gap Jacobi matrices. I: The isospectral torus. Zbl 1200.42012
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2010
The Hilbert transform of a measure. Zbl 1211.30052
Poltoratski, Alexei; Simon, Barry; Zinchenko, Maxim
2010
The inverse resonance problem for CMV operators. Zbl 1189.81230
Weikard, Rudi; Zinchenko, Maxim
2010
Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. Zbl 1165.34051
Gesztesy, Fritz; Zinchenko, Maxim
2009
On Dirichlet-to-Neumann maps and some applications to modified Fredholm determinants. Zbl 1169.47014
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim
2009
Right limits and reflectionless measures for CMV matrices. Zbl 1188.35172
Breuer, Jonathan; Ryckman, Eric; Zinchenko, Maxim
2009
Finite gap Jacobi matrices: An announcement. Zbl 1174.42028
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim
2009
Minimal rank decoupling of full-lattice CMV operators with scalar- and matrix-valued Verblunsky coefficients. Zbl 1172.39026
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
2009
Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited. Zbl 1165.34050
Gesztesy, Fritz; Makarov, Konstantin A.; Zinchenko, Maxim
2008
Borg–Marchenko type uniqueness results for CMV operators. Zbl 1165.47021
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
2008
Variations on a theme of Jost and Pais. Zbl 1133.47010
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim
2007
Weyl-Titchmarsh theory and Borg-Marchenko-type uniqueness results for CMV operators with matrix-valued Verblunsky coefficients. Zbl 1142.34014
Clark, Stephen; Gesztesy, Fritz; Zinchenko, Maxim
2007
Multi-dimensional versions of a determinant formula due to Jost and Pais. Zbl 1207.47043
Gesztesy, F.; Mitrea, M.; Zinchenko, M.
2007
On spectral theory for Schrödinger operators with strongly singular potentials. Zbl 1108.34063
Gesztesy, Fritz; Zinchenko, Maxim
2006
Weyl–Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle. Zbl 1118.47023
Gesztesy, Fritz; Zinchenko, Maxim
2006
A Borg-type theorem associated with orthogonal polynomials on the unit circle. Zbl 1131.47027
Gesztesy, Fritz; Zinchenko, Maxim
2006
Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.
2005
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### Cited by 245 Authors

 33 Gesztesy, Fritz 26 Zinchenko, Maxim 19 Simon, Barry 12 Christiansen, Jacob Stordal 12 Malamud, Mark M. 10 Alpan, Gökalp 10 Behrndt, Jussi 10 Teschl, Gerald 9 Damanik, David 9 Nichols, Roger 9 Sakhnovich, Alexander L. 9 Yuditskii, Peter Meerovich 8 Fillman, Jake 8 Neidhardt, Hagen 8 Ong, Darren C. 7 Eckhardt, Jonathan 7 Kostenko, Aleksey S. 7 Krieger, Joachim 7 Latushkin, Yuri 7 Mitrea, Marius 6 Zemánek, Petr 5 Breuer, Jonathan 5 Schlag, Wilhelm 5 ter Elst, Antonius Frederik Maria 4 Clark, Stephen L. 4 Cuenin, Jean-Claude 4 Goncharov, Alexander P. 4 Kirsten, Klaus 4 Luger, Annemarie 4 Lukic, Milivoje 4 Makarov, Konstantin A. 4 Naboko, Serguei N. 4 Schiefermayr, Klaus 4 Sukochev, Fedor Anatol’evich 3 Carey, Alan L. 3 Eichinger, Benjamin 3 Holden, Helge 3 Howard, Peter 3 Langer, Heinz 3 Littlejohn, Lance L. 3 Rohleder, Jonathan 3 Smirnov, Alexander G. 3 Sukhtayev, Alim 3 Tataru, Daniel 3 Ugurlu, Ekin 3 VandenBoom, Tom 2 Albeverio, Sergio A. 2 Aliev, Rashid Avazaga 2 Andrievskii, Vladimir V. 2 Blake Allan, S. 2 Brown, B. Malcolm 2 Donninger, Roland 2 Drouot, Alexis 2 Elyseeva, Julia V. 2 Frank, Rupert L. 2 Fritzsche, Bernd 2 Fucci, Guglielmo 2 Fulton, Charles T. 2 Golinskii, Leonid Borisovich 2 Guo, Shuzheng 2 Hansmann, Marcel 2 Hedenmalm, Håkan 2 Kirstein, Bernd 2 Kolb, Martin 2 Kurasov, Pavel B. 2 Langer, Matthias 2 Last, Yoram 2 Levitina, Galina Borisovna 2 Lotoreichik, Vladimir 2 Mantica, Giorgio 2 Marin, Laurent 2 Mirotin, Adol’f Rubimovich 2 Mogilevskii, Vadim 2 Montes-Rodríguez, Alfonso 2 Neuner, Christoph 2 Pavlov, Boris Sergeevich 2 Pedersen, Henrik Laurberg 2 Peherstorfer, Franz 2 Peller, Vladimir Vsevolodovich 2 Poltoratski, Alexei G. 2 Potapov, Denis 2 Remling, Christian 2 Ryckman, Eric 2 Ryzhov, Vladimir Anatol’evich 2 Schulz-Baldes, Hermann 2 Silva, Luis O. 2 Stanfill, Jonathan 2 Świderski, Grzegorz 2 Taş, Kenan 2 Toloza, Julio H. 2 Tomilov, Yuri 2 Volberg, Alexander Lvovich 2 Wang, Fengpeng 2 Weikard, Rudi 2 Wood, Ian Geoffrey 2 Zhang, Zhenghe 1 Alpay, Daniel Aron 1 Arendt, Wolfgang 1 Arlins’kyĭ, Yuriĭ Moĭseĭovych 1 Ashbaugh, Mark S. ...and 145 more Authors
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### Cited in 83 Serials

 16 Journal of Functional Analysis 15 Integral Equations and Operator Theory 14 Communications in Mathematical Physics 13 Journal of Differential Equations 11 Journal of Mathematical Analysis and Applications 11 Advances in Mathematics 11 Journal of Approximation Theory 10 Journal d’Analyse Mathématique 10 Mathematische Nachrichten 9 Complex Analysis and Operator Theory 8 Journal of Mathematical Physics 7 Transactions of the American Mathematical Society 7 Journal of Spectral Theory 6 Constructive Approximation 5 Russian Journal of Mathematical Physics 4 Monatshefte für Mathematik 4 Proceedings of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annales Henri Poincaré 4 Computational Methods and Function Theory 3 Letters in Mathematical Physics 3 Inventiones Mathematicae 3 Journal of Computational and Applied Mathematics 3 Operators and Matrices 3 Discrete and Continuous Dynamical Systems. Series S 2 Reports on Mathematical Physics 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Acta Applicandae Mathematicae 2 IMRN. International Mathematics Research Notices 2 Linear Algebra and its Applications 2 Potential Analysis 2 Journal of Difference Equations and Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Statistical Physics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Acta Mathematica Hungarica 1 International Journal of Approximate Reasoning 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Turkish Journal of Mathematics 1 Filomat 1 Opuscula Mathematica 1 Electronic Communications in Probability 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 Communications on Pure and Applied Analysis 1 Oberwolfach Reports 1 Boundary Value Problems 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Variables and Elliptic Equations 1 Journal of Nonlinear Science and Applications 1 Science China. Mathematics 1 Annals of Functional Analysis 1 Bulletin of Mathematical Sciences 1 Research in the Mathematical Sciences 1 Advances in Operator Theory
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### Cited in 33 Fields

 141 Operator theory (47-XX) 85 Ordinary differential equations (34-XX) 66 Partial differential equations (35-XX) 42 Quantum theory (81-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 38 Functions of a complex variable (30-XX) 21 Dynamical systems and ergodic theory (37-XX) 15 Approximations and expansions (41-XX) 14 Special functions (33-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Difference and functional equations (39-XX) 11 Functional analysis (46-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Potential theory (31-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Probability theory and stochastic processes (60-XX) 3 Algebraic geometry (14-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX)