Compute Distance To:
 Documents Indexed: 50 Publications since 2010 Co-Authors: 27 Co-Authors with 46 Joint Publications 671 Co-Co-Authors
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### Co-Authors

 4 single-authored 16 Behrndt, Jussi 14 Exner, Pavel 9 Langer, Matthias 6 Rohleder, Jonathan 5 Holzmann, Markus 5 Krejčiřík, David 4 Ourmiéres-Bonafos, Thomas 2 Jex, Michal 2 Kachmar, Ayman 2 Kondej, Sylwia 2 Popov, Igor’ Yur’evich 2 Tater, Miloš 1 Antunes, Pedro Ricardo Simão 1 Benguria, Rafael D. 1 Cassano, Biagio 1 Dauge, Monique 1 Frank, Rupert L. 1 Grubb, Gerd 1 Kühn, Christian 1 Lobanov, Igor 1 Michelangeli, Alessandro 1 Neidhardt, Hagen 1 Pankrashkin, Konstantin 1 Pérez-Obiol, Axel 1 Siegl, Petr 1 Simonov, Sergey A. 1 Tušek, Matěj 1 Znojil, Miloslav
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### Serials

 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Nanosystems. Physics, Chemistry, Mathematics 2 Letters in Mathematical Physics 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Integral Equations and Operator Theory 2 The Journal of Geometric Analysis 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales Henri Poincaré 2 Operators and Matrices 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Physics Letters. A 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Potential Analysis 1 Journal of Convex Analysis 1 Opuscula Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Journal of Evolution Equations 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Spectral Theory 1 Quantum Studies: Mathematics and Foundations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 42 Partial differential equations (35-XX) 31 Quantum theory (81-XX) 21 Operator theory (47-XX) 7 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 338 times in 165 Documents Cited by Year
Schrödinger operators with $$\delta$$ and $$\delta^{\prime}$$-potentials supported on hypersurfaces. Zbl 1275.81027
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Schrödinger operators with $$\delta$$- and $$\delta'$$-interactions on Lipschitz surfaces and chromatic numbers of associated partitions. Zbl 1326.47050
Behrndt, Jussi; Exner, Pavel; Lotoreichik, Vladimir
2014
Schrödinger operators with $$\delta$$-interactions supported on conical surfaces. Zbl 1297.35154
Behrndt, J.; Exner, P.; Lotoreichik, V.
2014
On the spectral properties of Dirac operators with electrostatic $$\delta$$-shell interactions. Zbl 1382.81095
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2018
On the bound states of Schrödinger operators with $$\delta$$-interactions on conical surfaces. Zbl 1346.35139
2016
On Dirac operators in $$\mathbb{R}^3$$ with electrostatic and Lorentz scalar $$\delta$$-shell interactions. Zbl 1423.81072
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2019
Approximation of Schrödinger operators with {$$\delta$$}-interactions supported on hypersurfaces. Zbl 1376.35010
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2017
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223
2018
Spectral estimates for resolvent differences of self-adjoint elliptic operators. Zbl 1311.47059
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators. Zbl 1296.35097
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains. Zbl 1198.35159
Behrndt, Jussi; Langer, Matthias; Lobanov, Igor; Lotoreichik, Vladimir; Popov, Igor Yu.
2010
Weakly coupled bound state of 2-D Schrödinger operator with potential-measure. Zbl 1298.35128
2014
A spectral isoperimetric inequality for cones. Zbl 1360.35207
2017
Spectral asymptotics for resolvent differences of elliptic operators with $$\delta$$ and $$\delta^{'}$$-interactions on hypersurfaces. Zbl 1353.47090
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir
2015
Quasi boundary triples and semi-bounded self-adjoint extensions. Zbl 1386.35290
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
Eigenvalue inequalities for the Laplacian with mixed boundary conditions. Zbl 1366.35106
2017
On resonances and bound states of Smilansky Hamiltonian. Zbl 1366.81163
Exner, P.; Lotoreichik, V.; Tater, M.
2016
On absence of bound states for weakly attractive $$\delta^{\prime}$$-interactions supported on non-closed curves in $$\mathbb{R}^{2}$$. Zbl 1338.81201
2016
Spectral theory for Schrödinger operators with $$\delta$$-interactions supported on curves in $$\mathbb {R}^3$$. Zbl 1378.81026
Behrndt, Jussi; Frank, Rupert L.; Kühn, Christian; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
On the bound states of magnetic Laplacians on wedges. Zbl 1441.35181
Exner, Pavel; Lotoreichik, Vladimir; Pérez-Obiol, Axel
2018
Spectral enclosures for non-self-adjoint extensions of symmetric operators. Zbl 1472.47018
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2018
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097
Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav
2018
An eigenvalue inequality for Schrödinger operators with $$\delta$$- and $$\delta'$$-interactions supported on hypersurfaces. Zbl 1346.35135
2015
A sharp upper bound on the spectral gap for graphene quantum dots. Zbl 1428.35251
2019
Asymptotics of the bound state induced by $$\delta$$-interaction supported on a weakly deformed plane. Zbl 1380.81118
Exner, Pavel; Kondej, Sylwia; Lotoreichik, Vladimir
2018
Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space. Zbl 1287.47038
2012
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147
2020
Spectral analysis of photonic crystals made of thin rods. Zbl 1417.35188
2018
Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations. Zbl 1303.47063
2014
The Landau Hamiltonian with $$\delta$$-potentials supported on curves. Zbl 1465.35132
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2020
Optimization of the lowest eigenvalue for leaky star graphs. Zbl 1461.35169
2018
Spectral and resonance properties of the Smilansky Hamiltonian. Zbl 1372.81041
Exner, Pavel; Lotoreichik, Vladimir; Tater, Miloš
2017
Spectral isoperimetric inequalities for singular interactions on open arcs. Zbl 1414.35135
2019
Lower bounds on the norms of extension operators for Lipschitz domains. Zbl 1310.47014
2014
Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267
Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T.
2019
Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer. Zbl 1439.35355
2020
Boundary triples for Schrödinger operators with singular interactions on hypersurfaces. Zbl 1353.47043
Behrndt, J.; Langer, M.; Lotoreichik, V.
2016
Spectra of definite type in waveguide models. Zbl 1369.81035
2017
Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set. Zbl 1230.34073
2011
On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter. Zbl 1487.35260
2022
Trace Hardy inequality for the Euclidean space with a cut and its applications. Zbl 1464.26018
Dauge, Monique; Jex, Michal; Lotoreichik, Vladimir
2021
Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions. Zbl 1462.35212
2020
Note on 2D Schrödinger operators with $$\delta$$-interactions on angles and crossing lines. Zbl 1343.81093
Lotoreichik, V.
2013
On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter. Zbl 1487.35260
2022
Trace Hardy inequality for the Euclidean space with a cut and its applications. Zbl 1464.26018
Dauge, Monique; Jex, Michal; Lotoreichik, Vladimir
2021
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147
2020
The Landau Hamiltonian with $$\delta$$-potentials supported on curves. Zbl 1465.35132
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2020
Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer. Zbl 1439.35355
2020
Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions. Zbl 1462.35212
2020
On Dirac operators in $$\mathbb{R}^3$$ with electrostatic and Lorentz scalar $$\delta$$-shell interactions. Zbl 1423.81072
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2019
A sharp upper bound on the spectral gap for graphene quantum dots. Zbl 1428.35251
2019
Spectral isoperimetric inequalities for singular interactions on open arcs. Zbl 1414.35135
2019
Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267
Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T.
2019
On the spectral properties of Dirac operators with electrostatic $$\delta$$-shell interactions. Zbl 1382.81095
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2018
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223
2018
On the bound states of magnetic Laplacians on wedges. Zbl 1441.35181
Exner, Pavel; Lotoreichik, Vladimir; Pérez-Obiol, Axel
2018
Spectral enclosures for non-self-adjoint extensions of symmetric operators. Zbl 1472.47018
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2018
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097
Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav
2018
Asymptotics of the bound state induced by $$\delta$$-interaction supported on a weakly deformed plane. Zbl 1380.81118
Exner, Pavel; Kondej, Sylwia; Lotoreichik, Vladimir
2018
Spectral analysis of photonic crystals made of thin rods. Zbl 1417.35188
2018
Optimization of the lowest eigenvalue for leaky star graphs. Zbl 1461.35169
2018
Approximation of Schrödinger operators with {$$\delta$$}-interactions supported on hypersurfaces. Zbl 1376.35010
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2017
A spectral isoperimetric inequality for cones. Zbl 1360.35207
2017
Quasi boundary triples and semi-bounded self-adjoint extensions. Zbl 1386.35290
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
Eigenvalue inequalities for the Laplacian with mixed boundary conditions. Zbl 1366.35106
2017
Spectral theory for Schrödinger operators with $$\delta$$-interactions supported on curves in $$\mathbb {R}^3$$. Zbl 1378.81026
Behrndt, Jussi; Frank, Rupert L.; Kühn, Christian; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
Spectral and resonance properties of the Smilansky Hamiltonian. Zbl 1372.81041
Exner, Pavel; Lotoreichik, Vladimir; Tater, Miloš
2017
Spectra of definite type in waveguide models. Zbl 1369.81035
2017
On the bound states of Schrödinger operators with $$\delta$$-interactions on conical surfaces. Zbl 1346.35139
2016
On resonances and bound states of Smilansky Hamiltonian. Zbl 1366.81163
Exner, P.; Lotoreichik, V.; Tater, M.
2016
On absence of bound states for weakly attractive $$\delta^{\prime}$$-interactions supported on non-closed curves in $$\mathbb{R}^{2}$$. Zbl 1338.81201
2016
Boundary triples for Schrödinger operators with singular interactions on hypersurfaces. Zbl 1353.47043
Behrndt, J.; Langer, M.; Lotoreichik, V.
2016
Spectral asymptotics for resolvent differences of elliptic operators with $$\delta$$ and $$\delta^{'}$$-interactions on hypersurfaces. Zbl 1353.47090
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir
2015
An eigenvalue inequality for Schrödinger operators with $$\delta$$- and $$\delta'$$-interactions supported on hypersurfaces. Zbl 1346.35135
2015
Schrödinger operators with $$\delta$$- and $$\delta'$$-interactions on Lipschitz surfaces and chromatic numbers of associated partitions. Zbl 1326.47050
Behrndt, Jussi; Exner, Pavel; Lotoreichik, Vladimir
2014
Schrödinger operators with $$\delta$$-interactions supported on conical surfaces. Zbl 1297.35154
Behrndt, J.; Exner, P.; Lotoreichik, V.
2014
Weakly coupled bound state of 2-D Schrödinger operator with potential-measure. Zbl 1298.35128
2014
Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations. Zbl 1303.47063
2014
Lower bounds on the norms of extension operators for Lipschitz domains. Zbl 1310.47014
2014
Schrödinger operators with $$\delta$$ and $$\delta^{\prime}$$-potentials supported on hypersurfaces. Zbl 1275.81027
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Spectral estimates for resolvent differences of self-adjoint elliptic operators. Zbl 1311.47059
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators. Zbl 1296.35097
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Note on 2D Schrödinger operators with $$\delta$$-interactions on angles and crossing lines. Zbl 1343.81093
Lotoreichik, V.
2013
Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space. Zbl 1287.47038
2012
Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set. Zbl 1230.34073
2011
A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains. Zbl 1198.35159
Behrndt, Jussi; Langer, Matthias; Lobanov, Igor; Lotoreichik, Vladimir; Popov, Igor Yu.
2010
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### Cited by 148 Authors

 32 Lotoreichik, Vladimir 27 Exner, Pavel 21 Behrndt, Jussi 10 Ourmiéres-Bonafos, Thomas 10 Pankrashkin, Konstantin 9 Holzmann, Markus 9 Posilicano, Andrea 9 Rohleder, Jonathan 7 Malamud, Mark M. 7 Mantile, Andrea 7 Popov, Igor’ Yur’evich 6 Kondej, Sylwia 5 Neidhardt, Hagen 5 Sini, Mourad 4 Albeverio, Sergio A. 4 Dauge, Monique 4 Krejčiřík, David 4 Mas, Albert 4 Pizzichillo, Fabio 3 Blinova, Irina V. 3 Correggi, Michele 3 Gesztesy, Fritz 3 Jex, Michal 3 Karabash, Illya M. 3 Kerner, Joachim 3 Kostenko, Aleksey S. 3 Langer, Matthias 3 Rabinovich, Vladimir Samuilovich 2 Ammari, Habib M. 2 Assaad, Wafaa 2 Bakharev, Fedor L’vovich 2 Benharrat, Mohammed 2 Brasche, Johannes Friedemann 2 Cacciapuoti, Claudio 2 Colombo, Fabrizio 2 Fermi, Davide 2 Giacomelli, Emanuela L. 2 Grubb, Gerd 2 Helffer, Bernard 2 Kachmar, Ayman 2 Khaldi, Nassima 2 Khrabustovskyi, Andrii 2 Kühn, Christian 2 Lyalinov, Mikhail Anatolievich 2 Messirdi, Bekkai 2 Michelangeli, Alessandro 2 Mitrea, Marius 2 Popoff, Nicolas 2 Raymond, Nicolas 2 Schlosser, Peter 2 Simonov, Sergey A. 2 Tater, Miloš 2 Znojil, Miloslav 1 Abels, Helmut 1 Aharonov, Yakir 1 Anan’eva, Aleksandra Yur’evna 1 Antunes, Pedro Ricardo Simão 1 Baklouti, Hamadi 1 Barseghyan, Diana 1 BelHadjAli, Hichem 1 Ben Amor, Ali 1 Benguria, Rafael D. 1 Benhellal, Badreddine 1 Bérard, Pierre H. 1 Boitsev, A. A. 1 Bolte, Jens 1 Bonnaillie-Noël, Virginie 1 Bruneau, Vincent 1 Bruno, Oscar P. 1 Budyka, Viktoriya S. 1 Cardone, Giuseppe 1 Cassano, Biagio 1 Challa, Durga Prasad 1 Chen, Xiaodiao 1 Choudhury, Anupam Pal 1 Colbois, Bruno 1 de Prunelé, E. 1 Derkach, Volodymyr Oleksandrovych 1 Dittrich, Jaroslav 1 Eckhardt, Jonathan 1 Erceg, Marko 1 Facchi, Paolo 1 Figari, Rodolfo 1 Fischbacher, Christoph 1 Flamencourt, Brice 1 Fournais, Søren 1 Frank, Rupert L. 1 Frymark, Dale 1 Galkowski, Jeffrey 1 Garnero, Giancarlo 1 Gebert, Martin 1 Gerasimov, D. A. 1 Gerasimov, Dmitry Nikolaevich 1 Golovatyj, Yuriy Danilovich 1 Grishanov, Evgeniy N. 1 Hussein, Amru 1 Ibrogimov, Orif O. 1 Imeri, Kthim 1 Judge, Christopher M. 1 Kennedy, James Bernard ...and 48 more Authors
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### Cited in 60 Serials

 12 Journal of Mathematical Physics 10 Journal of Mathematical Analysis and Applications 7 Letters in Mathematical Physics 7 Journal of Differential Equations 7 Journal of Functional Analysis 6 Integral Equations and Operator Theory 5 Reviews in Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Annales Henri Poincaré 5 Journal of Spectral Theory 4 Physics Letters. A 4 Reports on Mathematical Physics 4 The Journal of Geometric Analysis 4 Russian Journal of Mathematical Physics 4 Complex Analysis and Operator Theory 3 Applicable Analysis 3 Journal of Physics A: Mathematical and Theoretical 3 Operators and Matrices 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Communications in Mathematical Physics 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Mathematische Nachrichten 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Communications in Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Complex Variables and Elliptic Equations 2 Quantum Studies: Mathematics and Foundations 1 Nonlinearity 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Asymptotic Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Journal of Convex Analysis 1 The Journal of Fourier Analysis and Applications 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Applied Mathematics E-Notes 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 Banach Journal of Mathematical Analysis 1 Analysis & PDE 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Afrika Matematika 1 Bollettino dell’Unione Matematica Italiana
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### Cited in 31 Fields

 108 Partial differential equations (35-XX) 89 Quantum theory (81-XX) 64 Operator theory (47-XX) 22 Functional analysis (46-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Optics, electromagnetic theory (78-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 4 Numerical analysis (65-XX) 3 Algebraic geometry (14-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)