Edit Profile (opens in new tab) Remizov, Alexey O. Co-Author Distance Author ID: remizov.alexey-o Published as: Remizov, A. O.; Remizov, Alexey O.; Remizov, Alexey more...less External Links: ORCID · ResearchGate · Math-Net.Ru Documents Indexed: 35 Publications since 2001, including 1 Book and 1 Additional arXiv Preprint Reviewing Activity: 119 Reviews Co-Authors: 9 Co-Authors with 16 Joint Publications 263 Co-Co-Authors all top 5 Co-Authors 19 single-authored 7 Pavlova, Natalia G. 4 Boscain, Ugo 4 Chertovskih, Roman A. 4 Gauthier, Jean-Paul A. 2 Prandi, Dario 1 Ghezzi, Roberta 1 Shafarevich, Igor’ Rostislavovich 1 Tari, Farid 1 Zakalyukin, Vladimir M. all top 5 Serials 5 Russian Mathematical Surveys 3 Sbornik: Mathematics 2 Journal of Mathematical Sciences (New York) 2 Journal of Dynamical and Control Systems 2 Differential Equations 2 Proceedings of the Steklov Institute of Mathematics 1 Moscow University Mathematics Bulletin 1 Geometriae Dedicata 1 Moscow University Computational Mathematics and Cybernetics 1 Differential Geometry and its Applications 1 Linear Algebra and its Applications 1 Journal of Mathematical Imaging and Vision 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 International Journal of Mathematics, Game Theory and Algebra 1 Moscow Mathematical Journal 1 SIAM Journal on Imaging Sciences 1 Journal of Singularities 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 22 Ordinary differential equations (34-XX) 12 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 134 times in 83 Documents Cited by ▼ Year ▼ Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002 Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 23 2014 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001 Shafarevich, Igor R.; Remizov, Alexey O. 21 2013 Multidimensional Poincaré construction and singularities of lifted fields for implicit differential equations. Zbl 1190.34006 Remizov, A. O. 13 2008 Geodesics on 2-surfaces with pseudo-Riemannian metric: Singularities of changes of signature. Zbl 1169.53318 Remizov, A. O. 9 2009 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004 Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics. Zbl 1353.53050 Remizov, A. O.; Tari, F. 7 2016 Implicit differential equations and vector fields with nonisolated singular points. Zbl 1082.34501 Remizov, A. O. 7 2002 On a class of vector fields with discontinuities of divide-by-zero type and its applications to geodesics in singular metrics. Zbl 1284.37016 Ghezzi, R.; Remizov, A. O. 6 2012 On the local and global properties of geodesics in pseudo-Riemannian metrics. Zbl 1323.53036 Remizov, A. O. 5 2015 Completion of the classification of generic singularities of geodesic flows in two classes of metrics. Zbl 1458.53050 Pavlova, N. G.; Remizov, A. O. 5 2019 Singularities of a geodesic flow on surfaces with a cuspidal edge. Zbl 1200.58026 Remizov, A. O. 5 2010 Geodesics in generalized Finsler spaces: singularities in dimension two. Zbl 1358.53029 Remizov, A. O. 4 2016 A complete classification of generic singularities of geodesic flows on 2-surfaces with pseudo-Riemannian metrics. Zbl 1385.53010 Pavlova, N. G.; Remizov, A. O. 3 2017 A brief survey on singularities of geodesic flows in smooth signature changing metrics on 2-surfaces. Zbl 1405.53116 Pavlova, N. G.; Remizov, A. O. 3 2018 On proper singular points of ordinary differential equations unsolved for derivatives. Zbl 1041.34002 Remizov, A. O. 3 2002 Legendre singularities in systems of implicit ODEs and slow-fast dynamical systems. Zbl 1239.34010 Zakalyukin, V. M.; Remizov, A. O. 2 2008 Geodesics on hypersurfaces in Minkowski space: singularities of signature change. Zbl 1254.53071 Pavlova, N. G.; Remizov, A. O. 2 2011 Improper singular points of corank 1 of systems of differential equations not solved for the derivatives. Zbl 1035.34001 Remizov, A. O. 2 2002 Smooth local normal forms of hyperbolic Roussarie vector fields. Zbl 1480.34055 Pavlova, N. G.; Remizov, A. O. 1 2021 Codimension-two singularities in 3D affine control systems with a scalar control. Zbl 1154.93020 Remizov, A. O. 1 2008 Vector fields with nonisolated singular points. Zbl 1370.37040 Remizov, A. O. 1 2002 On geodesics in metrics with singularities of the Klein type. Zbl 1194.53065 Remizov, A. O. 1 2010 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227 Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 1 2018 Generic singular points of implicit differential equations. Zbl 1119.34301 Remizov, A. O. 1 2002 Hyperbolic roussarie fields with degenerate quadratic part. Zbl 1477.34056 Pavlova, Natalia G.; Remizov, Alexey O. 1 2021 Smooth local normal forms of hyperbolic Roussarie vector fields. Zbl 1480.34055 Pavlova, N. G.; Remizov, A. O. 1 2021 Hyperbolic roussarie fields with degenerate quadratic part. Zbl 1477.34056 Pavlova, Natalia G.; Remizov, Alexey O. 1 2021 Completion of the classification of generic singularities of geodesic flows in two classes of metrics. Zbl 1458.53050 Pavlova, N. G.; Remizov, A. O. 5 2019 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004 Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 A brief survey on singularities of geodesic flows in smooth signature changing metrics on 2-surfaces. Zbl 1405.53116 Pavlova, N. G.; Remizov, A. O. 3 2018 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227 Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 1 2018 A complete classification of generic singularities of geodesic flows on 2-surfaces with pseudo-Riemannian metrics. Zbl 1385.53010 Pavlova, N. G.; Remizov, A. O. 3 2017 Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics. Zbl 1353.53050 Remizov, A. O.; Tari, F. 7 2016 Geodesics in generalized Finsler spaces: singularities in dimension two. Zbl 1358.53029 Remizov, A. O. 4 2016 On the local and global properties of geodesics in pseudo-Riemannian metrics. Zbl 1323.53036 Remizov, A. O. 5 2015 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002 Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 23 2014 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001 Shafarevich, Igor R.; Remizov, Alexey O. 21 2013 On a class of vector fields with discontinuities of divide-by-zero type and its applications to geodesics in singular metrics. Zbl 1284.37016 Ghezzi, R.; Remizov, A. O. 6 2012 Geodesics on hypersurfaces in Minkowski space: singularities of signature change. Zbl 1254.53071 Pavlova, N. G.; Remizov, A. O. 2 2011 Singularities of a geodesic flow on surfaces with a cuspidal edge. Zbl 1200.58026 Remizov, A. O. 5 2010 On geodesics in metrics with singularities of the Klein type. Zbl 1194.53065 Remizov, A. O. 1 2010 Geodesics on 2-surfaces with pseudo-Riemannian metric: Singularities of changes of signature. Zbl 1169.53318 Remizov, A. O. 9 2009 Multidimensional Poincaré construction and singularities of lifted fields for implicit differential equations. Zbl 1190.34006 Remizov, A. O. 13 2008 Legendre singularities in systems of implicit ODEs and slow-fast dynamical systems. Zbl 1239.34010 Zakalyukin, V. M.; Remizov, A. O. 2 2008 Codimension-two singularities in 3D affine control systems with a scalar control. Zbl 1154.93020 Remizov, A. O. 1 2008 Implicit differential equations and vector fields with nonisolated singular points. Zbl 1082.34501 Remizov, A. O. 7 2002 On proper singular points of ordinary differential equations unsolved for derivatives. Zbl 1041.34002 Remizov, A. O. 3 2002 Improper singular points of corank 1 of systems of differential equations not solved for the derivatives. Zbl 1035.34001 Remizov, A. O. 2 2002 Vector fields with nonisolated singular points. Zbl 1370.37040 Remizov, A. O. 1 2002 Generic singular points of implicit differential equations. Zbl 1119.34301 Remizov, A. O. 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 135 Authors 13 Remizov, Alexey O. 6 Boscain, Ugo 6 Duits, Remco 6 Prandi, Dario 5 Pavlova, Natalia G. 4 Bekkers, Erik J. 4 Gauthier, Jean-Paul A. 4 Sacchelli, Ludovic 3 Chertovskih, Roman A. 3 De Bruyn, Bart 3 Honda, Atsufumi 3 Saji, Kentaro 3 Seiler, Werner M. 3 Seiß, Matthias 2 Citti, Giovanna 2 Franceschiello, Benedetta 2 Janssen, Michiel H. J. 2 Jouan, Philippe 2 Kuzina, Yuliya Vasil’evna 2 Mashtakov, Alexey P. 2 Portegies, Jim 2 Sachkov, Yuriĭ Leonidovich 2 Sarti, Alessandro 2 Serova, Irina Dmitrievna 2 Sigalotti, Mario 2 Smets, Bart M. N. 2 Tari, Farid 2 Teramoto, Keisuke 2 Turco, Giuseppina 2 Wang, Zhigang 2 Zernov, Alexander E. 1 Anatriello, Giuseppina 1 Araújo, Vítor 1 Asswad, Rand 1 Ates, Fatma 1 Ayala, Victor 1 Ballester, Coloma 1 Batard, Thomas 1 Bertalmío, Marcelo 1 Beschastnyi, Ivan Yu. 1 Bescós, J. Oliván 1 Bogaevskij, Il’ya Aleksandrovich 1 Bohi, Amine 1 Boizot, Nicolas 1 Bonnard, Bernard 1 Böttcher, Ulrich 1 Bouchara, Frédéric 1 Burman, Yurĭ M. 1 Calatroni, Luca 1 Cerna, David M. 1 Chambolle, Antonin 1 Chen, Da 1 Chen, Yongxin 1 Chirkova, Elena Anatol’evna 1 Chryssomalakos, Chryssomalis 1 Dias, Fabio Scalco 1 Dmitrieva, Maria 1 Ekmekçi, Nejat 1 Franceschi, Valentina 1 Gao, Mou 1 Gao, Tingran 1 Georgiou, Tryphon T. 1 Ghezzi, Roberta 1 Glaser, Steffen J. 1 Guis, Vincente 1 Guzmán-González, Edgar 1 Hannink, J. 1 Hanotel, Louis 1 Haro, Gloria 1 He, Meiling 1 Izumiya, Shyuichi 1 Janssen, Augustus Josephus Elizabeth Maria 1 Jumakulyyev, Ikram 1 Kisil, Vladimir V. 1 Kolberg, U. 1 Konopelchenko, Boris Georgievich 1 Lange-Hegermann, Markus 1 Lee, Ho 1 Leitsch, Alexander 1 Leng, Ming 1 Liu, Shihuan 1 Marcus, Adam W. 1 Martini, Horst 1 Medrado, João C. R. 1 Montobbio, Noemi 1 Naokawa, Kosuke 1 Ni, James M. 1 Nungesser, Ernesto 1 Ortenzi, Giovanni 1 Ortiz-Bobadilla, Laura 1 Oset Sinha, Raúl 1 Ouyang, Peichang 1 Özdemir, Zehra 1 Pavon, Michele 1 Pazij, N. D. 1 Petitot, Jean 1 Ploskonosov, Andrey 1 Pock, Thomas 1 Popov, Vladimir Leonidovich 1 Portegies, Jorg M. ...and 35 more Authors all top 5 Cited in 56 Serials 10 Journal of Mathematical Imaging and Vision 4 Journal of Dynamical and Control Systems 3 Journal of Mathematical Sciences (New York) 3 Proceedings of the Steklov Institute of Mathematics 2 Communications in Mathematical Physics 2 Tôhoku Mathematical Journal. Second Series 2 Linear Algebra and its Applications 2 Applied and Computational Harmonic Analysis 2 Izvestiya: Mathematics 2 International Electronic Journal of Geometry 2 SIAM Journal on Imaging Sciences 1 American Mathematical Monthly 1 Classical and Quantum Gravity 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Physics Reports 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Hiroshima Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Tsukuba Journal of Mathematics 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Annals of Pure and Applied Logic 1 Differential Geometry and its Applications 1 Discrete Mathematics and Applications 1 Designs, Codes and Cryptography 1 Elemente der Mathematik 1 SIAM Review 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Journal of Computational Neuroscience 1 Complexity 1 Sbornik: Mathematics 1 Journal for Geometry and Graphics 1 Revista Matemática Complutense 1 Differential Equations 1 Moscow Mathematical Journal 1 Mediterranean Journal of Mathematics 1 Advances in Mathematical Physics 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 The Journal of Mathematical Neuroscience 1 Journal of Function Spaces 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 39 Fields 23 Ordinary differential equations (34-XX) 22 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 10 Geometry (51-XX) 9 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Manifolds and cell complexes (57-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year