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Author ID: popov.georgi-st Recent zbMATH articles by "Popov, Georgi St."
Published as: Popov, Georgi; Popov, G. S.; Popov, Georgi St.; Popov, G.; Popov, Georgi S.; Popov, Georgi St; Popov, G. St.
Documents Indexed: 57 Publications since 1976, including 2 Additional arXiv Preprints
Reviewing Activity: 53 Reviews
Co-Authors: 12 Co-Authors with 35 Joint Publications
213 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 243 times in 170 Documents Cited by Year
Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms. Zbl 0970.37050
Popov, G.
37
2000
KAM theorem for Gevrey Hamiltonians. Zbl 1088.37030
Popov, G.
33
2004
Resonances near the real axis for transparent obstacles. Zbl 0951.35036
Popov, Georgi; Vodev, Georgi
25
1999
Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014
Petkov, V.; Popov, G.
19
1982
Distribution of the resonances and local energy decay in the transmission problem. Zbl 0931.35115
Popov, Georgi; Vodev, Georgi
17
1999
Distribution of resonances and local energy decay in the transmission problem. II. Zbl 0968.35035
Cardoso, Fernando; Popov, Georgi; Vodev, Georgi
13
1999
Invariants of the length spectrum and spectral invariants of planar convex domains. Zbl 0797.58070
Popov, Georgi
12
1994
Asymptotics of the number of resonances in the transmission problem. Zbl 1086.35012
Cardoso, Fernando; Popov, Georgi; Vodev, Georgi
11
2001
Quasimodes with exponentially small errors associated with elliptic periodic rays. Zbl 1136.35426
Cardoso, Fernando; Popov, Georgi
11
2002
Invariant tori, effective stability, and quasimodes with exponentially small error terms. II: Quantum Birkhoff normal forms. Zbl 1002.37028
Popov, G.
11
2000
Gevrey normal form and effective stability of Lagrangian tori. Zbl 1282.37034
Mitev, Todor; Popov, Georgi
10
2010
Invariant tori for the billiard ball map. Zbl 0686.58037
Kovachev, Valery; Popov, Georgi
10
1990
Asymptotic behaviour of the scattering phase for the Schrödinger operator. Zbl 0513.35061
Popov, G. S.
9
1982
Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095
Petkov, Vesselin; Popov, Georgi
9
1998
Rayleigh quasimodes in linear elasticity. Zbl 0795.35067
Cardoso, Fernando; Popov, Georgi
8
1992
Liouville billiard tables and an inverse spectral result. Zbl 1042.37043
Popov, G.; Topalov, P.
8
2003
On the contribution of degenerate periodic trajectories to the wave-trace. Zbl 0924.58100
Popov, Georgi
8
1998
On the integral geometry of Liouville billiard tables. Zbl 1223.37048
Popov, G.; Topalov, P.
7
2011
Quasimodes for the Laplace operator and glancing hypersurfaces. Zbl 0794.35030
Popov, Georgi S.
6
1991
Semi-classical resolvent estimates for the Schrödinger operator on non-compact complete Riemannian manifolds. Zbl 1159.58308
Cardoso, Fernando; Popov, Georgi; Vodev, Georgi
6
2004
Length spectrum invariants of Riemannian manifolds. Zbl 0804.53068
Popov, Georgi S.
6
1993
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 1375.37009
Hou, Xuanji; Popov, Georgi
5
2016
Invariants of isospectral deformations and spectral rigidity. Zbl 1245.58015
Popov, Georgi; Topalov, Peter
5
2012
On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008
Petkov, Vesselin; Popov, Georgi
4
1995
Exponential growth of the local energy for moving obstacles. Zbl 0707.35084
Popov, Georgi; Rangelov, Tsviatko
4
1989
A semi-classical trace formula for several commuting operators. Zbl 0927.35138
Charbonnel, Anne-Marie; Popov, Georgi
4
1999
Discrete analog of the projective equivalence and integrable billiard tables. Zbl 1185.37095
Popov, G.; Topalov, P.
3
2008
Micro-local properties of a certain class of pseudo-differential operators with multiple characteristics. Zbl 0459.35099
Popivanov, Petr R.; Popov, Georgi St
3
1980
Asymptotic expansion of the spectral function for second-order elliptic operators in \({\mathbb{R}}^ n\). Zbl 0533.35072
Popov, G. S.; Shubin, M. A.
3
1983
A complete asymptotic expansion of the spectral function for second-order elliptic operators in \(R^ n\). Zbl 0548.35093
Popov, G. S.; Shubin, M. A.
3
1983
KAM theorem and quasimodes for Gevrey Hamiltonians. Zbl 1074.37031
Popov, Georgi
3
2004
Some estimates of Green’s functions in the shadow. Zbl 0656.35022
Popov, Georgi
3
1987
Asymptotics of Green’s functions in the shadow. Zbl 0626.35018
Popov, G. S.
2
1985
Resonances for transparent obstacles. Zbl 1103.35354
Popov, Georgi; Vodev, Georgi
1
1999
Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071
Petkov, Vesselin; Popov, Georgi
1
1981
A complete asymptotic expansion of the spectral function for second order elliptic operators in \(R^ n\). Zbl 0533.35073
Popov, G. S.; Shubin, M. A.
1
1983
Spectral asymptotics for elliptic second order differential operators. Zbl 0598.35081
Popov, Georgi
1
1985
Existence of invariant tori for the billiard ball map near an elliptic periodic geodesic. Zbl 0685.58026
Kovachev, V. Kh.; Popov, G. S.
1
1988
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 0858.35095
Petkov, Vesselin; Popov, Georgi
1
1996
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 1375.37009
Hou, Xuanji; Popov, Georgi
5
2016
Invariants of isospectral deformations and spectral rigidity. Zbl 1245.58015
Popov, Georgi; Topalov, Peter
5
2012
On the integral geometry of Liouville billiard tables. Zbl 1223.37048
Popov, G.; Topalov, P.
7
2011
Gevrey normal form and effective stability of Lagrangian tori. Zbl 1282.37034
Mitev, Todor; Popov, Georgi
10
2010
Discrete analog of the projective equivalence and integrable billiard tables. Zbl 1185.37095
Popov, G.; Topalov, P.
3
2008
KAM theorem for Gevrey Hamiltonians. Zbl 1088.37030
Popov, G.
33
2004
Semi-classical resolvent estimates for the Schrödinger operator on non-compact complete Riemannian manifolds. Zbl 1159.58308
Cardoso, Fernando; Popov, Georgi; Vodev, Georgi
6
2004
KAM theorem and quasimodes for Gevrey Hamiltonians. Zbl 1074.37031
Popov, Georgi
3
2004
Liouville billiard tables and an inverse spectral result. Zbl 1042.37043
Popov, G.; Topalov, P.
8
2003
Quasimodes with exponentially small errors associated with elliptic periodic rays. Zbl 1136.35426
Cardoso, Fernando; Popov, Georgi
11
2002
Asymptotics of the number of resonances in the transmission problem. Zbl 1086.35012
Cardoso, Fernando; Popov, Georgi; Vodev, Georgi
11
2001
Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms. Zbl 0970.37050
Popov, G.
37
2000
Invariant tori, effective stability, and quasimodes with exponentially small error terms. II: Quantum Birkhoff normal forms. Zbl 1002.37028
Popov, G.
11
2000
Resonances near the real axis for transparent obstacles. Zbl 0951.35036
Popov, Georgi; Vodev, Georgi
25
1999
Distribution of the resonances and local energy decay in the transmission problem. Zbl 0931.35115
Popov, Georgi; Vodev, Georgi
17
1999
Distribution of resonances and local energy decay in the transmission problem. II. Zbl 0968.35035
Cardoso, Fernando; Popov, Georgi; Vodev, Georgi
13
1999
A semi-classical trace formula for several commuting operators. Zbl 0927.35138
Charbonnel, Anne-Marie; Popov, Georgi
4
1999
Resonances for transparent obstacles. Zbl 1103.35354
Popov, Georgi; Vodev, Georgi
1
1999
Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095
Petkov, Vesselin; Popov, Georgi
9
1998
On the contribution of degenerate periodic trajectories to the wave-trace. Zbl 0924.58100
Popov, 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 0858.35095
Petkov, Vesselin; Popov, Georgi
1
1996
On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008
Petkov, Vesselin; Popov, Georgi
4
1995
Invariants of the length spectrum and spectral invariants of planar convex domains. Zbl 0797.58070
Popov, Georgi
12
1994
Length spectrum invariants of Riemannian manifolds. Zbl 0804.53068
Popov, Georgi S.
6
1993
Rayleigh quasimodes in linear elasticity. Zbl 0795.35067
Cardoso, Fernando; Popov, Georgi
8
1992
Quasimodes for the Laplace operator and glancing hypersurfaces. Zbl 0794.35030
Popov, Georgi S.
6
1991
Invariant tori for the billiard ball map. Zbl 0686.58037
Kovachev, Valery; Popov, Georgi
10
1990
Exponential growth of the local energy for moving obstacles. Zbl 0707.35084
Popov, Georgi; Rangelov, Tsviatko
4
1989
Existence of invariant tori for the billiard ball map near an elliptic periodic geodesic. Zbl 0685.58026
Kovachev, V. Kh.; Popov, G. S.
1
1988
Some estimates of Green’s functions in the shadow. Zbl 0656.35022
Popov, Georgi
3
1987
Asymptotics of Green’s functions in the shadow. Zbl 0626.35018
Popov, G. S.
2
1985
Spectral asymptotics for elliptic second order differential operators. Zbl 0598.35081
Popov, Georgi
1
1985
Asymptotic expansion of the spectral function for second-order elliptic operators in \({\mathbb{R}}^ n\). Zbl 0533.35072
Popov, G. S.; Shubin, M. A.
3
1983
A complete asymptotic expansion of the spectral function for second-order elliptic operators in \(R^ n\). Zbl 0548.35093
Popov, G. S.; Shubin, M. A.
3
1983
A complete asymptotic expansion of the spectral function for second order elliptic operators in \(R^ n\). Zbl 0533.35073
Popov, G. S.; Shubin, M. A.
1
1983
Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014
Petkov, V.; Popov, G.
19
1982
Asymptotic behaviour of the scattering phase for the Schrödinger operator. Zbl 0513.35061
Popov, G. S.
9
1982
Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071
Petkov, Vesselin; Popov, Georgi
1
1981
Micro-local properties of a certain class of pseudo-differential operators with multiple characteristics. Zbl 0459.35099
Popivanov, Petr R.; Popov, Georgi St
3
1980
all top 5

Cited by 162 Authors

13 Spence, Euan A.
12 Popov, Georgi St.
11 Petkov, Vesselin M.
10 Vodev, Georgi
8 Galkowski, Jeffrey
7 Kaloshin, Vadim Yu.
7 Stefanov, Plamen D.
6 Camus, Brice
5 Sorrentino, Alfonso
4 Bony, Jean-François
4 Bounemoura, Abed Bounemoura
4 Christianson, Hans
4 Korotyaev, Evgeny L.
4 Sjöstrand, Johannes
4 Wunsch, Jared
4 Zworski, Maciej
3 Ammari, Habib
3 Bruneau, Vincent
3 Christiansen, Tanya J.
3 Graham, Ivan G.
3 Hezari, Hamid
3 Hou, Xuanji
3 Jin, Long
3 Marchand, Pierre
3 Moiola, Andrea
3 Pembery, O. R.
3 Robert, Didier
3 Topalov, Peter J.
3 Vasy, András
3 Vũ Ngọc, San
3 Zelditch, Steve
2 Cardoso, Fernando
2 Chaumont-Frelet, Théophile
2 Datchev, Kiril R.
2 de Simoi, Jacopo
2 Dragović, Vladimir
2 Farré, Gerard
2 Fayad, Bassam R.
2 Gérard, Christian
2 Gomes, Sean P.
2 Lafontaine, David
2 Martinez, André
2 Millien, Pierre
2 Niederman, Laurent
2 Oliaro, Alessandro
2 Radnović, Milena
2 Safarov, Yuri G.
2 Sauter, Stefan
2 Sevryuk, Mikhail Borisovich
2 Smyshlyaev, Valery P.
2 Tabachnikov, Serge L.
2 Torres, Céline
2 Vig, Amir
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 Bolotin, Sergeĭ Vladimirovich
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 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 Filippas, Spyridon
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
...and 62 more Authors
all top 5

Cited in 73 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 Journal of Mathematical Analysis and Applications
4 Annales de l’Institut Fourier
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Russian Journal of Mathematical Physics
4 Annals of Mathematics. Second Series
4 Regular and Chaotic Dynamics
4 Journal of Spectral Theory
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 Indagationes Mathematicae. New Series
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 Geometric and Functional Analysis. GAFA
2 SIAM Journal on Applied Mathematics
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 di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
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 Acta Mathematica Sinica. New Series
1 Journal of Dynamics and Differential Equations
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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

Citations by Year