Edit Profile (opens in new tab) Bialy, Misha Co-Author Distance Author ID: bialy.misha Published as: Bialy, Misha; Bialy, M. L.; Bialy, M. more...less Videos: carmin.tv Documents Indexed: 55 Publications since 1989, including 3 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 34 Joint Publications 359 Co-Co-Authors all top 5 Co-Authors 21 single-authored 17 Mironov, Andreĭ Evgen’evich 7 Polterovich, Leonid Viktorovich 4 Tabachnikov, Serge L. 3 Tsodikovich, Daniel 2 MacKay, Robert Sinclair 2 Shalom, Lior 1 Agapov, Sergei Vadimovich 1 Arnold, Maxim 1 Bor, Gil 1 Fierobe, Corentin 1 Glutsyuk, Alexey A. 1 Levi, Mark L. 1 Youssin, Baruch all top 5 Serials 5 Nonlinearity 4 Journal of Geometry and Physics 3 Geometric and Functional Analysis. GAFA 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Ergodic Theory and Dynamical Systems 2 Discrete and Continuous Dynamical Systems 2 Journal of Modern Dynamics 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Experimental Mathematics 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Central European Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Research Announcements in Mathematical Sciences 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications of the American Mathematical Society all top 5 Fields 44 Dynamical systems and ergodic theory (37-XX) 16 Differential geometry (53-XX) 11 Partial differential equations (35-XX) 11 Mechanics of particles and systems (70-XX) 5 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 49 Publications have been cited 452 times in 219 Documents Cited by ▼ Year ▼ Convex billiards and a theorem by E. Hopf. Zbl 0790.58023 Bialy, Misha 43 1993 Angular billiard and algebraic Birkhoff conjecture. Zbl 1364.37124 Bialy, Misha; Mironov, Andrey E. 36 2017 Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006 Bialy, Misha; Polterovich, Leonid 32 1994 Rich quasi-linear system for integrable geodesic flows on 2-torus. Zbl 1232.37035 Bialy, Misha; Mironov, Andrey E. 20 2011 Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016 Bialy, Misha; Polterovich, Leonid 18 1992 Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane. Zbl 1306.37059 Bialy, Misha 18 2013 Algebraic Birkhoff conjecture for billiards on sphere and hyperbolic plane. Zbl 1375.37113 Bialy, Misha; Mironov, Andrey E. 17 2017 Cubic and quartic integrals for geodesic flow on 2-torus via a system of the hydrodynamic type. Zbl 1232.35092 Bialy, Misha; Mironov, Andrey E. 16 2011 Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0675.58016 Bialy, M. L.; Polterovich, L. V. 15 1989 Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010 Bialy, M.; Polterovich, L. 14 1992 The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables. Zbl 1505.37067 Bialy, Misha; Mironov, Andrey E. 14 2022 Integrable geodesic flows on 2-torus: formal solutions and variational principle. Zbl 1304.53084 Bialy, Misha; Mironov, Andrey E. 13 2015 Algebraic non-integrability of magnetic billiards. Zbl 1353.37075 Bialy, Misha; Mironov, Andrey E. 13 2016 Symplectic twist maps without conjugate points. Zbl 1055.37060 Bialy, M. L.; MacKay, R. S. 12 2004 Dan Reznik’s identities and more. Zbl 1509.37070 Bialy, Misha; Tabachnikov, Serge 12 2022 Rigidity for periodic magnetic fields. Zbl 1003.37035 Bialy, M. L. 10 2000 A survey on polynomial in momenta integrals for billiard problems. Zbl 1407.37057 Bialy, Misha; Mironov, Andrey E. 10 2018 Aubry-Mather sets and Birkhoff’s theorem for geodesic flows on the two- dimensional torus. Zbl 0706.58051 Bialy, M. L. 9 1989 Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs. Zbl 1364.37123 Agapov, S. V.; Bialy, M.; Mironov, A. E. 9 2017 On totally integrable magnetic billiards on constant curvature surface. Zbl 1257.37027 Bialy, Misha 9 2012 Hopf-type rigidity for Newton equations. Zbl 0861.58012 Bialy, Misha; Polterovich, Leonid 8 1995 On fourth-degree polynomial integrals of the Birkhoff billiard. Zbl 1371.37067 Bialy, M.; Mironov, A. E. 8 2016 Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane. Zbl 1439.37054 Bialy, M.; Mironov, A. E. 8 2019 Wire billiards, the first steps. Zbl 1477.37035 Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge 8 2020 On periodic solutions for a reduction of Benney chain. Zbl 1182.35014 Bialy, Misha 7 2009 New semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces. Zbl 1259.35137 Bialy, Misha; Mironov, Andrey 7 2012 Gutkin billiard tables in higher dimensions and rigidity. Zbl 1391.37031 Bialy, Misha 7 2018 Invariant tori and symplectic topology. Zbl 0847.58022 Bialy, M.; Polterovich, L. 6 1996 Nonsmooth convex caustics for Birkhoff billiards. Zbl 1390.37068 Arnold, Maxim; Bialy, Misha 6 2018 Integrable geodesic flows on surfaces. Zbl 1203.37092 Bialy, Misha 5 2010 Effective bounds in E. Hopf rigidity for billiards and geodesic flows. Zbl 1345.37064 Bialy, Misha 5 2015 Maximizing orbits for higher-dimensional convex billiards. Zbl 1190.37073 Bialy, Misha 4 2009 Polynomial integrals for a Hamiltonian system and breakdown of smooth solutions for quasi-linear equations. Zbl 0809.58010 Bialy, Misha 4 1994 On the number of caustics for invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0713.58017 Bialy, Misha 4 1991 Magnetic billiards: non-integrability for strong magnetic field; Gutkin type examples. Zbl 1464.37061 Bialy, Misha; Mironov, Andrey E.; Shalom, Lior 4 2020 Variational properties of a nonlinear elliptic equation and rigidity. Zbl 0967.35043 Bialy, M. L.; MacKay, R. S. 2 2000 Hamiltonian form and infinitely many conservation laws for a quasilinear system. Zbl 0908.58019 Bialy, Misha 2 1997 Optical Hamiltonian functions. Zbl 0879.58024 Bialy, Misha; Polterovich, Leonid 2 1994 Richness or semi-Hamiltonicity of quasi-linear systems that are not in evolution form. Zbl 1282.35235 Bialy, Misha 2 2013 Integrable outer billiards and rigidity. Zbl 1545.37054 Bialy, Misha 2 2024 Outer billiards with the dynamics of a standard shift on a finite number of invariant curves. Zbl 1487.37031 Bialy, Misha; Mironov, Andrey E.; Shalom, Lior 2 2021 Self-Bäcklund curves in centroaffine geometry and Lamé’s equation. Zbl 07750993 Bialy, Misha; Bor, Gil; Tabachnikov, Serge 2 2022 Shock formation for the forced Burgers equation and an application. Zbl 0963.35166 Bialy, M. L. 1 2000 On the number of invisible directions for a smooth Riemannian metric. Zbl 1304.53026 Bialy, Misha 1 2015 From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity. Zbl 1320.35238 Bialy, Misha; Mironov, Andrey E. 1 2013 Billiard characterization of spheres. Zbl 1430.37030 Bialy, Misha 1 2019 Billiard tables with rotational symmetry. Zbl 1516.37032 Bialy, Misha; Tsodikovich, Daniel 1 2023 Open problems on billiards and geometric optics. Zbl 1509.00013 Bialy, Misha; Fierobe, Corentin; Glutsyuk, Alexey; Levi, Mark; Plakhov, Alexander; Tabachnikov, Serge 1 2022 Locally maximising orbits for the non-standard generating function of convex billiards and applications. Zbl 1521.37040 Bialy, Misha; Tsodikovich, Daniel 1 2023 Integrable outer billiards and rigidity. Zbl 1545.37054 Bialy, Misha 2 2024 Billiard tables with rotational symmetry. Zbl 1516.37032 Bialy, Misha; Tsodikovich, Daniel 1 2023 Locally maximising orbits for the non-standard generating function of convex billiards and applications. Zbl 1521.37040 Bialy, Misha; Tsodikovich, Daniel 1 2023 The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables. Zbl 1505.37067 Bialy, Misha; Mironov, Andrey E. 14 2022 Dan Reznik’s identities and more. Zbl 1509.37070 Bialy, Misha; Tabachnikov, Serge 12 2022 Self-Bäcklund curves in centroaffine geometry and Lamé’s equation. Zbl 07750993 Bialy, Misha; Bor, Gil; Tabachnikov, Serge 2 2022 Open problems on billiards and geometric optics. Zbl 1509.00013 Bialy, Misha; Fierobe, Corentin; Glutsyuk, Alexey; Levi, Mark; Plakhov, Alexander; Tabachnikov, Serge 1 2022 Outer billiards with the dynamics of a standard shift on a finite number of invariant curves. Zbl 1487.37031 Bialy, Misha; Mironov, Andrey E.; Shalom, Lior 2 2021 Wire billiards, the first steps. Zbl 1477.37035 Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge 8 2020 Magnetic billiards: non-integrability for strong magnetic field; Gutkin type examples. Zbl 1464.37061 Bialy, Misha; Mironov, Andrey E.; Shalom, Lior 4 2020 Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane. Zbl 1439.37054 Bialy, M.; Mironov, A. E. 8 2019 Billiard characterization of spheres. Zbl 1430.37030 Bialy, Misha 1 2019 A survey on polynomial in momenta integrals for billiard problems. Zbl 1407.37057 Bialy, Misha; Mironov, Andrey E. 10 2018 Gutkin billiard tables in higher dimensions and rigidity. Zbl 1391.37031 Bialy, Misha 7 2018 Nonsmooth convex caustics for Birkhoff billiards. Zbl 1390.37068 Arnold, Maxim; Bialy, Misha 6 2018 Angular billiard and algebraic Birkhoff conjecture. Zbl 1364.37124 Bialy, Misha; Mironov, Andrey E. 36 2017 Algebraic Birkhoff conjecture for billiards on sphere and hyperbolic plane. Zbl 1375.37113 Bialy, Misha; Mironov, Andrey E. 17 2017 Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs. Zbl 1364.37123 Agapov, S. V.; Bialy, M.; Mironov, A. E. 9 2017 Algebraic non-integrability of magnetic billiards. Zbl 1353.37075 Bialy, Misha; Mironov, Andrey E. 13 2016 On fourth-degree polynomial integrals of the Birkhoff billiard. Zbl 1371.37067 Bialy, M.; Mironov, A. E. 8 2016 Integrable geodesic flows on 2-torus: formal solutions and variational principle. Zbl 1304.53084 Bialy, Misha; Mironov, Andrey E. 13 2015 Effective bounds in E. Hopf rigidity for billiards and geodesic flows. Zbl 1345.37064 Bialy, Misha 5 2015 On the number of invisible directions for a smooth Riemannian metric. Zbl 1304.53026 Bialy, Misha 1 2015 Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane. Zbl 1306.37059 Bialy, Misha 18 2013 Richness or semi-Hamiltonicity of quasi-linear systems that are not in evolution form. Zbl 1282.35235 Bialy, Misha 2 2013 From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity. Zbl 1320.35238 Bialy, Misha; Mironov, Andrey E. 1 2013 On totally integrable magnetic billiards on constant curvature surface. Zbl 1257.37027 Bialy, Misha 9 2012 New semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces. Zbl 1259.35137 Bialy, Misha; Mironov, Andrey 7 2012 Rich quasi-linear system for integrable geodesic flows on 2-torus. Zbl 1232.37035 Bialy, Misha; Mironov, Andrey E. 20 2011 Cubic and quartic integrals for geodesic flow on 2-torus via a system of the hydrodynamic type. Zbl 1232.35092 Bialy, Misha; Mironov, Andrey E. 16 2011 Integrable geodesic flows on surfaces. Zbl 1203.37092 Bialy, Misha 5 2010 On periodic solutions for a reduction of Benney chain. Zbl 1182.35014 Bialy, Misha 7 2009 Maximizing orbits for higher-dimensional convex billiards. Zbl 1190.37073 Bialy, Misha 4 2009 Symplectic twist maps without conjugate points. Zbl 1055.37060 Bialy, M. L.; MacKay, R. S. 12 2004 Rigidity for periodic magnetic fields. Zbl 1003.37035 Bialy, M. L. 10 2000 Variational properties of a nonlinear elliptic equation and rigidity. Zbl 0967.35043 Bialy, M. L.; MacKay, R. S. 2 2000 Shock formation for the forced Burgers equation and an application. Zbl 0963.35166 Bialy, M. L. 1 2000 Hamiltonian form and infinitely many conservation laws for a quasilinear system. Zbl 0908.58019 Bialy, Misha 2 1997 Invariant tori and symplectic topology. Zbl 0847.58022 Bialy, M.; Polterovich, L. 6 1996 Hopf-type rigidity for Newton equations. Zbl 0861.58012 Bialy, Misha; Polterovich, Leonid 8 1995 Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006 Bialy, Misha; Polterovich, Leonid 32 1994 Polynomial integrals for a Hamiltonian system and breakdown of smooth solutions for quasi-linear equations. Zbl 0809.58010 Bialy, Misha 4 1994 Optical Hamiltonian functions. Zbl 0879.58024 Bialy, Misha; Polterovich, Leonid 2 1994 Convex billiards and a theorem by E. Hopf. Zbl 0790.58023 Bialy, Misha 43 1993 Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016 Bialy, Misha; Polterovich, Leonid 18 1992 Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010 Bialy, M.; Polterovich, L. 14 1992 On the number of caustics for invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0713.58017 Bialy, Misha 4 1991 Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0675.58016 Bialy, M. L.; Polterovich, L. V. 15 1989 Aubry-Mather sets and Birkhoff’s theorem for geodesic flows on the two- dimensional torus. Zbl 0706.58051 Bialy, M. L. 9 1989 all cited Publications top 5 cited Publications all top 5 Cited by 189 Authors 32 Bialy, Misha 14 Mironov, Andreĭ Evgen’evich 10 Glutsyuk, Alexey A. 10 Tabachnikov, Serge L. 9 Arnaud, Marie-Claude 9 Reznik, Dan S. 8 Fomenko, Anatoliĭ Timofeevich 8 Garcia, Ronaldo A. 7 Agapov, Sergei Vadimovich 7 Kaloshin, Vadim Yu. 7 Sorrentino, Alfonso 6 Vedyushkina, Viktoriya Viktorovna 5 Agafonov, Sergey I. 5 Lalonde, François 5 Polterovich, Leonid Viktorovich 4 Dias Carneiro, Mario Jorge 4 Matveev, Vladimir S. 4 McDuff, Dusa 4 Ruggiero, Rafael Oswaldo 3 Baracco, Luca 3 Bernardi, Olga 3 Helman, Mark 3 Kibkalo, Vladislav Aleksandrovich 3 Koiller, Jair 3 Larotonda, Gabriel 3 Milinković, Darko 3 Ostrover, Yaron 3 Siburg, Karl Friedrich 3 Zelditch, Steven Morris 2 Abbondandolo, Alberto 2 Adachi, Toshiaki 2 Albers, Peter 2 Arnold, Maxim 2 Barbosa Gomes, José 2 Bolsinov, Alexey V. 2 De Blasi, Irene 2 Dragović, Vladimir 2 Fierobe, Corentin 2 Florentin, Dan Itzhak 2 Gasiorek, Sean 2 Gutkin, Eugene 2 Huang, Guan 2 Iturriaga, Renato 2 Kerman, Ely 2 Lange, Christian 2 Laurain, Dominique 2 Macià, Fabricio 2 MacKay, Robert Sinclair 2 Nardi, Alessandra 2 Paternain, Gabriel Pedro 2 Pavlov, Maxim V. 2 Pinto de Carvalho, Sônia 2 Rivière, Gabriel 2 Roitman, Pedro 2 Rosen, Daniel 2 Sandon, Sheila 2 Shalom, Lior 2 Shubin, Vladislav 2 Slimowitz, Jennifer 2 Stachel, Hellmuth 2 Takeuchi, Airi 2 Terracini, Susanna 2 Treshchev, Dmitriĭ Valer’evich 2 Tsyganov, Andreĭ Vladimirovich 2 Wang, Lin 2 Zav’yalov, Vladimir N. 2 Zhang, Ke 1 Abdikalikova, Gulshat 1 Alves Garcia, Ronaldo 1 Alves, Thaís G. P. 1 Arcostanzo, Marc 1 Arlove, Pierre-Alexandre 1 Artstein-Avidan, Shiri 1 Asselle, Luca 1 Assenza, Valerio 1 Assylbekov, Yernat M. 1 Avila, Artur 1 Barutello, Vivina L. 1 Belozerov, Gleb V. 1 Benedetti, Gabriele 1 Bernard, Patrick 1 Bessa, Mário 1 Blagojević, Pavle V. M. 1 Bolotin, Sergeĭ Vladimirovich 1 Bor, Gil 1 Bramham, Barney 1 Burns, Keith 1 Butler, Leo T. 1 Cheng, Chong-Qing 1 Ciriza, Eleonora 1 Cui, Xiaojun 1 Dairbekov, Nurlan Slyamkhanovich 1 de Simoi, Jacopo 1 Del Magno, Gianluigi 1 Del Riego, Lilia sen. 1 Donnay, Victor J. 1 Eliashberg, Yakov Matveevich 1 Fakhriddinov, Zh. Sh. 1 Fathi, Albert 1 Fedorov, Yuri N. ...and 89 more Authors all top 5 Cited in 91 Serials 10 Nonlinearity 9 Journal of Geometry and Physics 8 Discrete and Continuous Dynamical Systems 7 Advances in Mathematics 7 Ergodic Theory and Dynamical Systems 7 Geometric and Functional Analysis. GAFA 6 Communications in Mathematical Physics 5 Siberian Mathematical Journal 4 Israel Journal of Mathematics 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Differential Geometry and its Applications 4 Geometry & Topology 4 Annals of Mathematics. Second Series 4 Journal of Dynamical and Control Systems 4 European Journal of Mathematics 3 Annales de l’Institut Fourier 3 Inventiones Mathematicae 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Calculus of Variations and Partial Differential Equations 3 Doklady Mathematics 3 Regular and Chaotic Dynamics 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Nonlinear Science and Numerical Simulation 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Arnold Mathematical Journal 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Mathematical Analysis and Applications 2 Russian Mathematical Surveys 2 Beiträge zur Algebra und Geometrie 2 Publications Mathématiques 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the Moscow Mathematical Society 2 Topology and its Applications 2 Physica D 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Theoretical and Applied Mechanics 2 Journal of Modern Dynamics 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Chaos, Solitons and Fractals 1 Journal of Differential Equations 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Quarterly of Applied Mathematics 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal for Geometry and Graphics 1 Chaos 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Nihonkai Mathematical Journal 1 Dynamical Systems 1 Foundations of Computational Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Oberwolfach Reports 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Chebyshevskiĭ Sbornik 1 Groups, Geometry, and Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Journal of Topology and Analysis 1 São Paulo Journal of Mathematical Sciences 1 Analysis and Mathematical Physics 1 Journal de l’École Polytechnique – Mathématiques 1 Nelineĭnaya Dinamika 1 Russian Journal of Nonlinear Dynamics 1 Communications of the American Mathematical Society all top 5 Cited in 32 Fields 170 Dynamical systems and ergodic theory (37-XX) 92 Differential geometry (53-XX) 39 Mechanics of particles and systems (70-XX) 23 Global analysis, analysis on manifolds (58-XX) 18 Partial differential equations (35-XX) 13 Geometry (51-XX) 10 Convex and discrete geometry (52-XX) 8 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 5 Topological groups, Lie groups (22-XX) 5 Optics, electromagnetic theory (78-XX) 4 Special functions (33-XX) 4 Computer science (68-XX) 3 Ordinary differential equations (34-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year