Edit Profile (opens in new tab) Lazutkin, Vladimir Fedorovich Compute Distance To: Compute Author ID: lazutkin.vladimir-fedorovich Published as: Lazutkin, V. F.; Lazutkin, Vladimir F.; Lazutkin, V. more...less External Links: MGP · Math-Net.Ru · GND Documents Indexed: 62 Publications since 1965, including 2 Books 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 14 Co-Authors with 22 Joint Publications 311 Co-Co-Authors all top 5 Co-Authors 41 single-authored 6 Terman, D. Ya. 4 Gelfreich, Vassili 3 Simó, Carles 3 Tabanov, Michael B. 2 Giorgilli, Antonio 2 Khod’kov, Yu. A. 2 Pankratova, T. F. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Dvorin, M. M. 1 Igotti, N. N. 1 Kuksin, Sergeĭ B. 1 Pöschel, Jürgen 1 Schachmannski, I. G. 1 Svanidze, N. V. all top 5 Serials 4 Functional Analysis and its Applications 4 Soviet Mathematics. Doklady 3 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 3 Problemy Matematicheskoĭ Fiziki 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Soviet Mathematics 2 Mathematics of the USSR. Izvestiya 2 Physica D 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Regularnaya & Khaoticheskaya Dinamika 2 Regular and Chaotic Dynamics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Chaos, Solitons and Fractals 1 Algebra i Analiz 1 Leningrad Mathematical Journal 1 Vestnik Leningrad University. Mathematics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Chaos 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 28 Dynamical systems and ergodic theory (37-XX) 24 Partial differential equations (35-XX) 10 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 350 times in 275 Documents Cited by ▼ Year ▼ KAM theory and semiclassical approximations to eigenfunctions. With an addendum by A. I. Shnirelman. Zbl 0814.58001Lazutkin, Vladimir F. 54 1993 The existence of caustics for a billiard problem in a convex domain. Zbl 0277.52002Lazutkin, V. F. 52 1974 Splitting of separatrices for standard and semistandard mappings. Zbl 0825.58033Lazutkin, V. F.; Schachmannski, I. G.; Tabanov, M. B. 33 1989 Die Existenz von Kaustiken für das Billardproblem in einem konvexen Gebiet. Zbl 0256.52001Lazutkin, V. F. 26 1973 Splitting of separatrices: Perturbation theory and exponential smallness. Zbl 1071.37039Gel’freich, V. G.; Lazutkin, V. F. 23 2001 Exponentially small splittings in Hamiltonian systems. Zbl 0899.58016Gelfreich, V. G.; Lazutkin, V. F.; Tabanov, M. B. 21 1991 Normal forms and versal deformations for Hill’s equation. Zbl 0357.34021Lazutkin, V. F.; Pankratova, T. F. 19 1976 Splitting of separatrices for the Chirikov standard map. Zbl 1120.37039Lazutkin, V. F. 19 2005 A refined formula for the separatrix splitting for the standard map. Zbl 0812.70017Gelfreich, V. G.; Lazutkin, V. F.; Svanidze, N. V. 16 1994 Convex billiards and eigenfunctions of the Laplace operator. (Vypuklyj billiard i sobstvennye funktsii operatora Laplasa). Zbl 0532.58031Lazutkin, V. F. 15 1981 Asymptotics of the width of gaps in the spectrum of the Sturm-Liouville operator with a periodic potential. Zbl 0318.34035Lazutkin, V. F.; Pankratova, T. F. 6 1974 On the width of the instability zone near the separatrices of a standard mapping. Zbl 0733.58038Lazutkin, V. F. 6 1991 Some remarks on the problem of ergodicity of the standard map. Zbl 1115.37330Giorgilli, A.; Lazutkin, V. F. 6 2000 On the asymptotics of the eigenfunctions of the Laplacian. Zbl 0232.35075Lazutkin, V. F. 5 1971 Asymptotics of the eigenvalues of the Laplacian and quasimodes. A series of quasimodes corresponding to a system of caustics close to the boundary of the domain. Zbl 0282.35063Lazutkin, V. F. 4 1974 The existence of an infinite number of elliptic and hyperbolic periodic trajectories for a convex billiard. Zbl 0298.58006Dvorin, M. M.; Lazutkin, V. F. 4 1973 Quasi-classical asymptotics of eigenfunctions. Zbl 0657.35098Lazutkin, V. F. 4 1988 Percival variational principle for invariant measures and commensurate- incommensurate phase transitions in one-dimensional chains. Zbl 0564.58015Lazutkin, V. F.; Terman, D. Ya. 3 1984 Construction of an asymptotic series of eigenfunctions of the ’bouncing ball’ type. Zbl 0211.13802Lazutkin, V. F. 3 1968 Analytic integrals of the semistandard map, and splitting of separatrices. Zbl 0725.58028Lazutkin, V. F. 3 1990 Estimation of the remainder in the Weyl formula. Zbl 0483.35065Lazutkin, V. F.; Terman, D. Ya. 3 1982 Number of quasimodes of ”bouncing-ball” type. Zbl 0532.35057Lazutkin, V. F.; Terman, D. Ya. 2 1984 Signature of invertible symmetric matrices. Zbl 0738.15004Lazutkin, V. F. 2 1988 Making fractals fat. Zbl 1076.37506Lazutkin, V. F. 2 1999 Semiclassical asymptotics of eigenfunctions. Zbl 0907.35093Lazutkin, V. F. 2 1988 Visualization of a hyperbolic structure in area preserving maps. Zbl 0922.58059Giorgilli, A.; Lazutkin, V. F.; Simó, C. 2 1997 Die Existenz eines Kontinuums geschlossener invarianter Kurven für ein konvexes Billiard. Zbl 0237.58014Lazutkin, V. F. 2 1972 Splitting of complex separatrices. Zbl 0667.58051Lazutkin, V. F. 2 1988 Homoclinic orbits in the complex domain. Zbl 0886.58047Lazutkin, V. F.; Simó, C. 1 1997 Complexified quantum rules. Zbl 0909.58016Lazutkin, V. F.; Terman, D. Ya. 1 1993 The asymptotics of the eigenfunctions of the Laplace operator, concentrated near the boundary of a region. Zbl 0183.18302Lazutkin, V. F. 1 1967 An analytic integral along the separatrix of the semistandard map: Existence and an exponential estimate for the distance between the stable and unstable separatrices. Zbl 0791.58036Lazutkin, V. F. 1 1992 Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078 1 1994 The splitting of separatrices for a standard family of area-preserving transformations. Zbl 0797.58064Lazutkin, V. F. 1 1993 Resurgent approach to the separatrices splitting. Zbl 0938.37524Lazutkin, Vladimir F. 1 1993 An estimate of the length of the gaps in the spectrum of the Laplace operator for a plane convex domain. Zbl 0425.35074Lazutkin, V. F. 1 1979 An analytic integral along the separatrix of the semistandard map: Existence and an exponential estimate for the distance between the stable and unstable separatrices. Zbl 0768.58017Lazutkin, V. F. 1 1992 Complex billiard. Zbl 0606.35018Lazutkin, V. F. 1 1986 Über Eigenfunktionen, die in der Nähe einer abgeschlossenen Geodätischen konzentriert sind. Zbl 0164.13601Babich, V. M.; Lazutkin, V. F. 1 1967 Splitting of separatrices for the Chirikov standard map. Zbl 1120.37039Lazutkin, V. F. 19 2005 Splitting of separatrices: Perturbation theory and exponential smallness. Zbl 1071.37039Gel’freich, V. G.; Lazutkin, V. F. 23 2001 Some remarks on the problem of ergodicity of the standard map. Zbl 1115.37330Giorgilli, A.; Lazutkin, V. F. 6 2000 Making fractals fat. Zbl 1076.37506Lazutkin, V. F. 2 1999 Visualization of a hyperbolic structure in area preserving maps. Zbl 0922.58059Giorgilli, A.; Lazutkin, V. F.; Simó, C. 2 1997 Homoclinic orbits in the complex domain. Zbl 0886.58047Lazutkin, V. F.; Simó, C. 1 1997 A refined formula for the separatrix splitting for the standard map. Zbl 0812.70017Gelfreich, V. G.; Lazutkin, V. F.; Svanidze, N. V. 16 1994 Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078 1 1994 KAM theory and semiclassical approximations to eigenfunctions. With an addendum by A. I. Shnirelman. Zbl 0814.58001Lazutkin, Vladimir F. 54 1993 Complexified quantum rules. Zbl 0909.58016Lazutkin, V. F.; Terman, D. Ya. 1 1993 The splitting of separatrices for a standard family of area-preserving transformations. Zbl 0797.58064Lazutkin, V. F. 1 1993 Resurgent approach to the separatrices splitting. Zbl 0938.37524Lazutkin, Vladimir F. 1 1993 An analytic integral along the separatrix of the semistandard map: Existence and an exponential estimate for the distance between the stable and unstable separatrices. Zbl 0791.58036Lazutkin, V. F. 1 1992 An analytic integral along the separatrix of the semistandard map: Existence and an exponential estimate for the distance between the stable and unstable separatrices. Zbl 0768.58017Lazutkin, V. F. 1 1992 Exponentially small splittings in Hamiltonian systems. Zbl 0899.58016Gelfreich, V. G.; Lazutkin, V. F.; Tabanov, M. B. 21 1991 On the width of the instability zone near the separatrices of a standard mapping. Zbl 0733.58038Lazutkin, V. F. 6 1991 Analytic integrals of the semistandard map, and splitting of separatrices. Zbl 0725.58028Lazutkin, V. F. 3 1990 Splitting of separatrices for standard and semistandard mappings. Zbl 0825.58033Lazutkin, V. F.; Schachmannski, I. G.; Tabanov, M. B. 33 1989 Quasi-classical asymptotics of eigenfunctions. Zbl 0657.35098Lazutkin, V. F. 4 1988 Signature of invertible symmetric matrices. Zbl 0738.15004Lazutkin, V. F. 2 1988 Semiclassical asymptotics of eigenfunctions. Zbl 0907.35093Lazutkin, V. F. 2 1988 Splitting of complex separatrices. Zbl 0667.58051Lazutkin, V. F. 2 1988 Complex billiard. Zbl 0606.35018Lazutkin, V. F. 1 1986 Percival variational principle for invariant measures and commensurate- incommensurate phase transitions in one-dimensional chains. Zbl 0564.58015Lazutkin, V. F.; Terman, D. Ya. 3 1984 Number of quasimodes of ”bouncing-ball” type. Zbl 0532.35057Lazutkin, V. F.; Terman, D. Ya. 2 1984 Estimation of the remainder in the Weyl formula. Zbl 0483.35065Lazutkin, V. F.; Terman, D. Ya. 3 1982 Convex billiards and eigenfunctions of the Laplace operator. (Vypuklyj billiard i sobstvennye funktsii operatora Laplasa). Zbl 0532.58031Lazutkin, V. F. 15 1981 An estimate of the length of the gaps in the spectrum of the Laplace operator for a plane convex domain. Zbl 0425.35074Lazutkin, V. F. 1 1979 Normal forms and versal deformations for Hill’s equation. Zbl 0357.34021Lazutkin, V. F.; Pankratova, T. F. 19 1976 The existence of caustics for a billiard problem in a convex domain. Zbl 0277.52002Lazutkin, V. F. 52 1974 Asymptotics of the width of gaps in the spectrum of the Sturm-Liouville operator with a periodic potential. Zbl 0318.34035Lazutkin, V. F.; Pankratova, T. F. 6 1974 Asymptotics of the eigenvalues of the Laplacian and quasimodes. A series of quasimodes corresponding to a system of caustics close to the boundary of the domain. Zbl 0282.35063Lazutkin, V. F. 4 1974 Die Existenz von Kaustiken für das Billardproblem in einem konvexen Gebiet. Zbl 0256.52001Lazutkin, V. F. 26 1973 The existence of an infinite number of elliptic and hyperbolic periodic trajectories for a convex billiard. Zbl 0298.58006Dvorin, M. M.; Lazutkin, V. F. 4 1973 Die Existenz eines Kontinuums geschlossener invarianter Kurven für ein konvexes Billiard. Zbl 0237.58014Lazutkin, V. F. 2 1972 On the asymptotics of the eigenfunctions of the Laplacian. Zbl 0232.35075Lazutkin, V. F. 5 1971 Construction of an asymptotic series of eigenfunctions of the ’bouncing ball’ type. Zbl 0211.13802Lazutkin, V. F. 3 1968 The asymptotics of the eigenfunctions of the Laplace operator, concentrated near the boundary of a region. Zbl 0183.18302Lazutkin, V. F. 1 1967 Über Eigenfunktionen, die in der Nähe einer abgeschlossenen Geodätischen konzentriert sind. Zbl 0164.13601Babich, V. M.; Lazutkin, V. F. 1 1967 all cited Publications top 5 cited Publications all top 5 Cited by 303 Authors 12 Gelfreich, Vassili 9 Bunimovich, Leonid Abramovich 8 Kaloshin, Vadim Yu. 6 Lazutkin, Vladimir Fedorovich 6 Ramírez-Ros, Rafael 5 Delshams, Amadeu 5 Dobrokhotov, Sergei Yurievich 5 Sardanashvily, Gennadi A. 5 Simó, Carles 5 Sorrentino, Alfonso 4 Anikin, A. Yu. 4 Fontich, Ernest 4 Giachetta, Giovanni 4 Oblak, Blagoje 4 Popov, Georgi St. 4 M-Seara, Tere 3 Amiran, Edoh Y. 3 Baldomá, Inmaculada 3 Bialy, Misha 3 Damjanović, Danijela 3 de Simoi, Jacopo 3 Fomenko, Anatoliĭ Timofeevich 3 Guardia, Marcel 3 Gutiérrez, Pere 3 Gutkin, Eugene 3 Katok, Anatole 3 Lerman, Lev 3 MacKay, Robert Sinclair 3 Mangiarotti, Luigi 3 Markarian, Roberto 3 Mironov, Andreĭ Evgen’evich 3 Nazaikinskii, Vladimir E. 3 Neĭshtadt, Anatoliĭ Iserovich 3 Sinaĭ, Yakov Grigor’evich 3 Tabachnikov, Serge L. 3 Terman, D. Ya. 3 Treshchev, Dmitriĭ Valer’evich 3 Tsvetkova, Anna V. 3 Zanelli, Lorenzo 2 Ablowitz, Mark Jay 2 Amick, Charles J. 2 Broer, Henk W. 2 Cardin, Franco 2 Chernov, Nikolai Ivanovich 2 Chernyshev, G. N. 2 Ching, Emily S. C. 2 Cincotta, Pablo M. 2 Colin de Verdière, Yves 2 Donnay, Victor J. 2 Florentin, Dan Itzhak 2 Fruchard, Augustin 2 Galkowski, Jeffrey 2 Gasiorek, Sean 2 Glutsyuk, Alexey A. 2 Gonchenko, Marina S. 2 Gruber, Peter Manfred 2 Guha, Partha 2 Guieu, Laurent 2 Guo, Jingwei 2 Guzzo, Massimiliano 2 Han, Ray P. S. 2 Hezari, Hamid 2 Kadanoff, Leo Philip 2 Knill, Oliver 2 Kovachev, Valery 2 Kuksin, Sergeĭ B. 2 Luo, Albert C. J. 2 Martínez, Regina 2 Ostrover, Yaron 2 Petkov, Vesselin M. 2 Petković, Boris 2 Pinto de Carvalho, Sônia 2 Rom-Kedar, Vered 2 Rosen, Daniel 2 Sarnak, Peter Clive 2 Sellama, Hocine 2 Sevryuk, Mikhail Borisovich 2 Stefanov, Plamen D. 2 Stoyanov, Luchezar N. 2 Turaev, Dmitry V. 2 Vedyushkina, Viktoriya Viktorovna 2 Vieiro, Arturo 2 Vos, Gideon 2 Wang, Weiwei 2 Wang, Zhenqi Jenny 2 Wang, Zuoqin 2 Wojtkowski, Maciej P. 2 Zaslavskiĭ, Georgiĭ Moiseevich 2 Zelditch, Steve 2 Zhang, Hongkun 2 Zhang, Pengfei 1 Ahn, Taehoon 1 Albers, Peter 1 Alekseev, Anton Yur’evich 1 Alfimov, Georgiĭ Leonidovich 1 Arnaiz, Víctor 1 Arslan, İlker 1 Artstein-Avidan, Shiri 1 Avila, Artur 1 Bailey, David Harold ...and 203 more Authors all top 5 Cited in 100 Serials 23 Communications in Mathematical Physics 17 Physica D 17 Chaos 15 Regular and Chaotic Dynamics 7 Chaos, Solitons and Fractals 7 Journal of Geometry and Physics 7 Advances in Mathematics 6 Journal of Soviet Mathematics 6 Ergodic Theory and Dynamical Systems 6 Journal of Mathematical Sciences (New York) 6 Journal of High Energy Physics 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 Nonlinearity 5 Physics Letters. A 5 Bulletin of the American Mathematical Society. New Series 5 Annals of Mathematics. Second Series 4 Journal of Applied Mathematics and Mechanics 4 Mathematical Notes 4 Annales de l’Institut Fourier 4 Duke Mathematical Journal 4 Functional Analysis and its Applications 4 Mathematische Zeitschrift 4 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems 3 Israel Journal of Mathematics 3 Theoretical and Mathematical Physics 3 Journal of Differential Equations 3 Transactions of the American Mathematical Society 3 Celestial Mechanics and Dynamical Astronomy 3 Electronic Research Announcements of the American Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Russian Mathematical Surveys 2 Ukrainian Mathematical Journal 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Experimental Mathematics 2 Journal of Dynamical and Control Systems 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Physica A 1 Wave Motion 1 Reviews in Mathematical Physics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Quaestiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Computational Mathematics and Mathematical Physics 1 Celestial Mechanics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Mathematical Physics, Analysis and Geometry 1 Journal for Geometry and Graphics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Nihonkai Mathematical Journal 1 Dynamical Systems 1 Forma 1 Advances in Complex Systems 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Modern Dynamics 1 Nonlinear Analysis. Hybrid Systems 1 Journal of Spectral Theory 1 Annales Mathématiques du Québec 1 Nonlinear Analysis. Theory, Methods & Applications 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Annales Henri Lebesgue all top 5 Cited in 41 Fields 185 Dynamical systems and ergodic theory (37-XX) 53 Mechanics of particles and systems (70-XX) 47 Partial differential equations (35-XX) 34 Ordinary differential equations (34-XX) 34 Global analysis, analysis on manifolds (58-XX) 32 Quantum theory (81-XX) 27 Differential geometry (53-XX) 11 Difference and functional equations (39-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Numerical analysis (65-XX) 8 Mechanics of deformable solids (74-XX) 7 Nonassociative rings and algebras (17-XX) 7 Convex and discrete geometry (52-XX) 7 Relativity and gravitational theory (83-XX) 6 Topological groups, Lie groups (22-XX) 6 Operator theory (47-XX) 5 Special functions (33-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Citations by Year