Edit Profile (opens in new tab) Popov, Georgi St. Co-Author Distance Author ID: popov.georgi-st Published as: Popov, Georgi; Popov, G. S.; Popov, Georgi St.; Popov, G.; Popov, Georgi S.; Popov, Georgi St; Popov, G. St. more...less Documents Indexed: 55 Publications since 1976 Reviewing Activity: 53 Reviews Co-Authors: 12 Co-Authors with 33 Joint Publications 210 Co-Co-Authors all top 5 Co-Authors 22 single-authored 7 Vodev, Georgi 6 Cardoso, Fernando 6 Petkov, Vesselin M. 4 Topalov, Peter J. 3 Popivanov, Petar Radoev 3 Shubin, Mikhail Aleksandrovich 2 Rangelov, Tsviatko V. 1 Charbonnel, Anne-Marie 1 Hou, Xuanji 1 Kovachev, V. Khr. 1 Kovachev, Valery 1 Mitev, Todor P. all top 5 Serials 10 Doklady Bolgarskoĭ Akademii Nauk 4 Communications in Mathematical Physics 4 Communications in Partial Differential Equations 3 Ergodic Theory and Dynamical Systems 3 Serdica 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Mathematische Zeitschrift 2 Osaka Journal of Mathematics 2 Asymptotic Analysis 2 Séminaire Équations aux Dérivées Partielles 2 Annales Henri Poincaré 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Functional Analysis and its Applications 1 Journal of Mathematics of Kyoto University 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Mathematical Research Letters 1 Matemática Contemporânea 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Discrete and Continuous Dynamical Systems. Series S 1 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika all top 5 Fields 37 Partial differential equations (35-XX) 18 Global analysis, analysis on manifolds (58-XX) 13 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 4 Mechanics of particles and systems (70-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 Mechanics of deformable solids (74-XX) 1 Potential theory (31-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 227 times in 159 Documents Cited by ▼ Year ▼ Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms. Zbl 0970.37050Popov, G. 35 2000 KAM theorem for Gevrey Hamiltonians. Zbl 1088.37030Popov, G. 32 2004 Resonances near the real axis for transparent obstacles. Zbl 0951.35036Popov, Georgi; Vodev, Georgi 23 1999 Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014Petkov, V.; Popov, G. 18 1982 Distribution of the resonances and local energy decay in the transmission problem. Zbl 0931.35115Popov, Georgi; Vodev, Georgi 17 1999 Distribution of resonances and local energy decay in the transmission problem. II. Zbl 0968.35035Cardoso, Fernando; Popov, Georgi; Vodev, Georgi 12 1999 Asymptotics of the number of resonances in the transmission problem. Zbl 1086.35012Cardoso, Fernando; Popov, Georgi; Vodev, Georgi 11 2001 Invariants of the length spectrum and spectral invariants of planar convex domains. Zbl 0797.58070Popov, Georgi 11 1994 Invariant tori, effective stability, and quasimodes with exponentially small error terms. II: Quantum Birkhoff normal forms. Zbl 1002.37028Popov, G. 11 2000 Quasimodes with exponentially small errors associated with elliptic periodic rays. Zbl 1136.35426Cardoso, Fernando; Popov, Georgi 11 2002 Invariant tori for the billiard ball map. Zbl 0686.58037Kovachev, Valery; Popov, Georgi 9 1990 Gevrey normal form and effective stability of Lagrangian tori. Zbl 1282.37034Mitev, Todor; Popov, Georgi 9 2010 Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095Petkov, Vesselin; Popov, Georgi 9 1998 Rayleigh quasimodes in linear elasticity. Zbl 0795.35067Cardoso, Fernando; Popov, Georgi 8 1992 On the contribution of degenerate periodic trajectories to the wave-trace. Zbl 0924.58100Popov, Georgi 8 1998 Asymptotic behaviour of the scattering phase for the Schrödinger operator. Zbl 0513.35061Popov, G. S. 7 1982 Liouville billiard tables and an inverse spectral result. Zbl 1042.37043Popov, G.; Topalov, P. 7 2003 Semi-classical resolvent estimates for the Schrödinger operator on non-compact complete Riemannian manifolds. Zbl 1159.58308Cardoso, Fernando; Popov, Georgi; Vodev, Georgi 6 2004 On the integral geometry of Liouville billiard tables. Zbl 1223.37048Popov, G.; Topalov, P. 6 2011 Length spectrum invariants of Riemannian manifolds. Zbl 0804.53068Popov, Georgi S. 6 1993 Quasimodes for the Laplace operator and glancing hypersurfaces. Zbl 0794.35030Popov, Georgi S. 5 1991 Rigidity of reducibility of Gevrey quasi-periodic cocycles on \(\mathrm{U}(n)\). (Rigidité de réductibilité des cocycles quasi-périodiques de Gevrey sur \(\mathrm{U}(n)\).) Zbl 1375.37009Hou, Xuanji; Popov, Georgi 5 2016 On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008Petkov, Vesselin; Popov, Georgi 4 1995 Exponential growth of the local energy for moving obstacles. Zbl 0707.35084Popov, Georgi; Rangelov, Tsviatko 4 1989 Invariants of isospectral deformations and spectral rigidity. Zbl 1245.58015Popov, Georgi; Topalov, Peter 4 2012 A semi-classical trace formula for several commuting operators. Zbl 0927.35138Charbonnel, Anne-Marie; Popov, Georgi 4 1999 KAM theorem and quasimodes for Gevrey Hamiltonians. Zbl 1074.37031Popov, Georgi 3 2004 Some estimates of Green’s functions in the shadow. Zbl 0656.35022Popov, Georgi 3 1987 A complete asymptotic expansion of the spectral function for second-order elliptic operators in \(R^ n\). Zbl 0548.35093Popov, G. S.; Shubin, M. A. 3 1983 Discrete analog of the projective equivalence and integrable billiard tables. Zbl 1185.37095Popov, G.; Topalov, P. 3 2008 Asymptotic expansion of the spectral function for second-order elliptic operators in \({\mathbb{R}}^ n\). Zbl 0533.35072Popov, G. S.; Shubin, M. A. 2 1983 Micro-local properties of a certain class of pseudo-differential operators with multiple characteristics. Zbl 0459.35099Popivanov, Petr R.; Popov, Georgi St 2 1980 Asymptotics of Green’s functions in the shadow. Zbl 0626.35018Popov, G. S. 2 1985 A semi-classical trace formula and asymptotics of the eigenvalues for the Schrödinger operator. (Une formule de trace semi-classique et asymptotique de valeurs propres de l’opérateur de Schrödinger.) Zbl 0858.35095Petkov, Vesselin; Popov, Georgi 1 1996 Existence of invariant tori for the billiard ball map near an elliptic periodic geodesic. Zbl 0685.58026Kovachev, V. Kh.; Popov, G. S. 1 1988 Spectral asymptotics for elliptic second order differential operators. Zbl 0598.35081Popov, Georgi 1 1985 A complete asymptotic expansion of the spectral function for second order elliptic operators in \(R^ n\). Zbl 0533.35073Popov, G. S.; Shubin, M. A. 1 1983 Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071Petkov, Vesselin; Popov, Georgi 1 1981 Rigidity of reducibility of Gevrey quasi-periodic cocycles on \(\mathrm{U}(n)\). (Rigidité de réductibilité des cocycles quasi-périodiques de Gevrey sur \(\mathrm{U}(n)\).) Zbl 1375.37009Hou, Xuanji; Popov, Georgi 5 2016 Invariants of isospectral deformations and spectral rigidity. Zbl 1245.58015Popov, Georgi; Topalov, Peter 4 2012 On the integral geometry of Liouville billiard tables. Zbl 1223.37048Popov, G.; Topalov, P. 6 2011 Gevrey normal form and effective stability of Lagrangian tori. Zbl 1282.37034Mitev, Todor; Popov, Georgi 9 2010 Discrete analog of the projective equivalence and integrable billiard tables. Zbl 1185.37095Popov, G.; Topalov, P. 3 2008 KAM theorem for Gevrey Hamiltonians. Zbl 1088.37030Popov, G. 32 2004 Semi-classical resolvent estimates for the Schrödinger operator on non-compact complete Riemannian manifolds. Zbl 1159.58308Cardoso, Fernando; Popov, Georgi; Vodev, Georgi 6 2004 KAM theorem and quasimodes for Gevrey Hamiltonians. Zbl 1074.37031Popov, Georgi 3 2004 Liouville billiard tables and an inverse spectral result. Zbl 1042.37043Popov, G.; Topalov, P. 7 2003 Quasimodes with exponentially small errors associated with elliptic periodic rays. Zbl 1136.35426Cardoso, Fernando; Popov, Georgi 11 2002 Asymptotics of the number of resonances in the transmission problem. Zbl 1086.35012Cardoso, Fernando; Popov, Georgi; Vodev, Georgi 11 2001 Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms. Zbl 0970.37050Popov, G. 35 2000 Invariant tori, effective stability, and quasimodes with exponentially small error terms. II: Quantum Birkhoff normal forms. Zbl 1002.37028Popov, G. 11 2000 Resonances near the real axis for transparent obstacles. Zbl 0951.35036Popov, Georgi; Vodev, Georgi 23 1999 Distribution of the resonances and local energy decay in the transmission problem. Zbl 0931.35115Popov, Georgi; Vodev, Georgi 17 1999 Distribution of resonances and local energy decay in the transmission problem. II. Zbl 0968.35035Cardoso, Fernando; Popov, Georgi; Vodev, Georgi 12 1999 A semi-classical trace formula for several commuting operators. Zbl 0927.35138Charbonnel, Anne-Marie; Popov, Georgi 4 1999 Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095Petkov, Vesselin; Popov, Georgi 9 1998 On the contribution of degenerate periodic trajectories to the wave-trace. Zbl 0924.58100Popov, Georgi 8 1998 A semi-classical trace formula and asymptotics of the eigenvalues for the Schrödinger operator. (Une formule de trace semi-classique et asymptotique de valeurs propres de l’opérateur de Schrödinger.) Zbl 0858.35095Petkov, Vesselin; Popov, Georgi 1 1996 On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008Petkov, Vesselin; Popov, Georgi 4 1995 Invariants of the length spectrum and spectral invariants of planar convex domains. Zbl 0797.58070Popov, Georgi 11 1994 Length spectrum invariants of Riemannian manifolds. Zbl 0804.53068Popov, Georgi S. 6 1993 Rayleigh quasimodes in linear elasticity. Zbl 0795.35067Cardoso, Fernando; Popov, Georgi 8 1992 Quasimodes for the Laplace operator and glancing hypersurfaces. Zbl 0794.35030Popov, Georgi S. 5 1991 Invariant tori for the billiard ball map. Zbl 0686.58037Kovachev, Valery; Popov, Georgi 9 1990 Exponential growth of the local energy for moving obstacles. Zbl 0707.35084Popov, Georgi; Rangelov, Tsviatko 4 1989 Existence of invariant tori for the billiard ball map near an elliptic periodic geodesic. Zbl 0685.58026Kovachev, V. Kh.; Popov, G. S. 1 1988 Some estimates of Green’s functions in the shadow. Zbl 0656.35022Popov, Georgi 3 1987 Asymptotics of Green’s functions in the shadow. Zbl 0626.35018Popov, G. S. 2 1985 Spectral asymptotics for elliptic second order differential operators. Zbl 0598.35081Popov, Georgi 1 1985 A complete asymptotic expansion of the spectral function for second-order elliptic operators in \(R^ n\). Zbl 0548.35093Popov, G. S.; Shubin, M. A. 3 1983 Asymptotic expansion of the spectral function for second-order elliptic operators in \({\mathbb{R}}^ n\). Zbl 0533.35072Popov, G. S.; Shubin, M. A. 2 1983 A complete asymptotic expansion of the spectral function for second order elliptic operators in \(R^ n\). Zbl 0533.35073Popov, G. S.; Shubin, M. A. 1 1983 Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014Petkov, V.; Popov, G. 18 1982 Asymptotic behaviour of the scattering phase for the Schrödinger operator. Zbl 0513.35061Popov, G. S. 7 1982 Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071Petkov, Vesselin; Popov, Georgi 1 1981 Micro-local properties of a certain class of pseudo-differential operators with multiple characteristics. Zbl 0459.35099Popivanov, Petr R.; Popov, Georgi St 2 1980 all cited Publications top 5 cited Publications all top 5 Cited by 152 Authors 12 Popov, Georgi St. 12 Spence, Euan A. 11 Petkov, Vesselin M. 10 Vodev, Georgi 7 Kaloshin, Vadim Yu. 7 Stefanov, Plamen D. 6 Camus, Brice 6 Galkowski, Jeffrey 5 Sorrentino, Alfonso 4 Bony, Jean-François 4 Bounemoura, Abed Bounemoura 4 Christianson, Hans 4 Sjöstrand, Johannes 4 Wunsch, Jared 3 Ammari, Habib M. 3 Bruneau, Vincent 3 Christiansen, Tanya J. 3 Graham, Ivan G. 3 Hezari, Hamid 3 Hou, Xuanji 3 Jin, Long 3 Pembery, O. R. 3 Robert, Didier 3 Topalov, Peter J. 3 Vasy, András 3 Vũ Ngọc, San 3 Zelditch, Steve 3 Zworski, Maciej 2 Cardoso, Fernando 2 Datchev, Kiril R. 2 de Simoi, Jacopo 2 Dragović, Vladimir 2 Fayad, Bassam R. 2 Gérard, Christian 2 Gomes, Sean P. 2 Hiptmair, Ralf 2 Korotyaev, Evgeny L. 2 Lafontaine, David 2 Marchand, Pierre 2 Martinez, André 2 Millien, Pierre 2 Moiola, Andrea 2 Niederman, Laurent 2 Radnović, Milena 2 Safarov, Yuri G. 2 Sauter, Stefan A. 2 Sevryuk, Mikhail Borisovich 2 Smyshlyaev, Valery P. 2 Tabachnikov, Serge L. 2 Torres, Céline 1 Agafonov, Sergey I. 1 Albin, Pierre 1 Amiran, Edoh Y. 1 Avila, Artur 1 Bachelot, Alain 1 Baskin, Dean 1 Bialy, Misha 1 Bisht, P. S. 1 Bolte, Jens 1 Bouclet, Jean-Marc 1 Capdeboscq, Yves 1 Casas, Pablo S. 1 Chandler-Wilde, Simon N. 1 Charbonnel, Anne-Marie 1 Charles, Laurent 1 Chatal, Maxime 1 Chaumont-Frelet, Théophile 1 Chavaudret, Claire 1 Chen, Bochao 1 Chen, Hua 1 Chen, Lung-Hui 1 Chow, Yat Tin 1 Cifone, Michael 1 Clarke, Andrew 1 Colin de Verdière, Yves 1 Colombini, Ferruccio 1 Corli, Andrea 1 Dabrowski, Alexander 1 De Donno, Giuseppe 1 Deleporte, Alix 1 Dimassi, Mouez 1 Dyatlov, Semyon 1 Egger, Sebastian 1 Fang, Yan-Long 1 Farré, Gerard 1 Fitzpatrick, Brian 1 Fujiié, Setsuro 1 Gaivão, José Pedro 1 Gao, Yixian 1 García Rodríguez, José Antonio 1 Georgiev, Vladimir S. 1 Gibbs, Andrew 1 Glutsyuk, Aleksei A. 1 Gozzi, Maroua 1 Grubišić, Luka 1 Guillarmou, Colin 1 Hassell, Andrew 1 Huang, Guan 1 Isozaki, Hiroshi 1 Ivrii, Victor Ja. ...and 52 more Authors all top 5 Cited in 70 Serials 12 Journal of Functional Analysis 12 Communications in Partial Differential Equations 10 Communications in Mathematical Physics 6 Duke Mathematical Journal 6 Journal of Differential Equations 6 Annales Henri Poincaré 5 SIAM Journal on Mathematical Analysis 4 Annales de l’Institut Fourier 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Annals of Mathematics. Second Series 4 Regular and Chaotic Dynamics 3 Journal of Mathematical Analysis and Applications 3 Mathematische Zeitschrift 3 Transactions of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Indagationes Mathematicae. New Series 3 Journal of Spectral Theory 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Functional Analysis and its Applications 2 Mathematische Nachrichten 2 Ergodic Theory and Dynamical Systems 2 Asymptotic Analysis 2 Advances in Computational Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Analysis & PDE 2 SIAM/ASA Journal on Uncertainty Quantification 2 Pure and Applied Analysis 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of Scientific Computing 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Applied Mathematics 1 Acta Mathematica Sinica. New Series 1 Journal of Dynamics and Differential Equations 1 Russian Journal of Mathematical Physics 1 Discrete and Continuous Dynamical Systems 1 Chaos 1 Qualitative Theory of Dynamical Systems 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Foundations of Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Inverse Problems and Imaging 1 Bulletin of Mathematical Sciences 1 Annales Mathématiques du Québec 1 Séminaire Laurent Schwartz. EDP et Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 29 Fields 107 Partial differential equations (35-XX) 38 Dynamical systems and ergodic theory (37-XX) 33 Quantum theory (81-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Operator theory (47-XX) 12 Mechanics of particles and systems (70-XX) 11 Numerical analysis (65-XX) 8 Optics, electromagnetic theory (78-XX) 7 Differential geometry (53-XX) 6 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 2 Real functions (26-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Citations by Year