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Author ID: dyatlov.semyon Recent zbMATH articles by "Dyatlov, Semyon"
Published as: Dyatlov, Semyon; Dyatlov, S. V.
Further Spellings: Dyatlov Semen Vladimirovich; Дятлов Семён Владимирович
Homepage: https://math.mit.edu/~dyatlov/
External Links: MGP · ORCID · Wikidata · Google Scholar · MathOverflow · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 46 Publications since 2007, including 1 Book and 6 Additional arXiv Preprints
1 Contribution as Editor
Biographic References: 2 Publications
Co-Authors: 20 Co-Authors with 31 Joint Publications
713 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 902 times in 477 Documents Cited by Year
Mathematical theory of scattering resonances. Zbl 1454.58001
Dyatlov, Semyon; Zworski, Maciej
167
2019
Dynamical zeta functions for Anosov flows via microlocal analysis. (Fonctions zêta dynamiques pour les flots d’Anosov en utilisant l’analyse microlocale.) Zbl 1369.37028
Dyatlov, Semyon; Zworski, Maciej
65
2016
Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole. Zbl 1223.83029
Dyatlov, Semyon
50
2011
Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037
Dyatlov, Semyon; Zworski, Maciej
50
2015
Pollicott-Ruelle resonances for open systems. Zbl 1367.37038
Dyatlov, Semyon; Guillarmou, Colin
43
2016
Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes. Zbl 1246.83111
Dyatlov, Semyon
42
2012
Spectral gaps, additive energy, and a fractal uncertainty principle. Zbl 1384.58019
Dyatlov, Semyon; Zahl, Joshua
35
2016
Exponential energy decay for Kerr-de Sitter black holes beyond event horizons. Zbl 1253.83020
Dyatlov, Semyon
34
2011
Fourier dimension and spectral gaps for hyperbolic surfaces. Zbl 1421.11071
Bourgain, Jean; Dyatlov, Semyon
34
2017
Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056
Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin
32
2015
Asymptotics of linear waves and resonances with applications to black holes. Zbl 1315.83022
Dyatlov, Semyon
31
2015
Microlocal limits of plane waves and Eisenstein functions. (Limites microlocales des ondes planes et les fonctions d’Eisenstein.) Zbl 1297.58007
Dyatlov, Semyon; Guillarmou, Colin
29
2014
Spectral gaps without the pressure condition. Zbl 1392.37065
Bourgain, Jean; Dyatlov, Semyon
28
2018
Ruelle zeta function at zero for surfaces. Zbl 1382.58022
Dyatlov, Semyon; Zworski, Maciej
27
2017
Resonance projectors and asymptotics for \(r\)-normally hyperbolic trapped sets. Zbl 1338.35316
Dyatlov, Semyon
26
2015
Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100
Dyatlov, Semyon; Zworski, Maciej
21
2013
Semiclassical measures on hyperbolic surfaces have full support. Zbl 1404.28010
Dyatlov, Semyon; Jin, Long
20
2018
Spectral gaps for normally hyperbolic trapping. (Trous spectraux pour des ensembles captés normalement hyperboliques.) Zbl 1350.35023
Dyatlov, Semyon
19
2016
Fractal Weyl laws for asymptotically hyperbolic manifolds. Zbl 1297.58006
Datchev, Kiril; Dyatlov, Semyon
18
2013
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
17
2019
Resonances for open quantum maps and a fractal uncertainty principle. Zbl 1372.81101
Dyatlov, Semyon; Jin, Long
14
2017
Dolgopyat’s method and the fractal uncertainty principle. Zbl 1390.28016
Dyatlov, Semyon; Jin, Long
13
2018
Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
13
2014
Resonances and lower resolvent bounds. Zbl 1326.35299
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
13
2015
An introduction to fractal uncertainty principle. Zbl 1432.81034
Dyatlov, Semyon
10
2019
Control of eigenfunctions on surfaces of variable curvature. Zbl 1487.58032
Dyatlov, Semyon; Jin, Long; Nonnenmacher, Stéphane
9
2022
Afterword: Dynamical zeta functions for axiom A flows. Zbl 1390.37002
Dyatlov, Semyon; Guillarmou, Colin
9
2018
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
8
2012
Microlocal limits of Eisenstein functions away from the unitarity axis. Zbl 1241.58015
Dyatlov, Semyon
7
2012
Improved fractal Weyl bounds for hyperbolic manifolds (with an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich). Zbl 1420.35035
Dyatlov, Semyon
3
2019
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Zbl 1502.37028
Cekić, Mihajlo; Delarue, Benjamin; Dyatlov, Semyon; Paternain, Gabriel P.
3
2022
Lower resolvent bounds and Lyapunov exponents. Zbl 1337.35121
Dyatlov, Semyon; Waters, Alden
2
2016
Scattering phase asymptotics with fractal remainders. Zbl 1318.58016
Dyatlov, Semyon; Guillarmou, Colin
2
2013
Symmetry of bound and antibound states in the semiclassical limit for a general class of potentials. Zbl 1206.34106
Dyatlov, Semyon; Ghosh, Subhroshekhar
2
2010
Fractal uncertainty for transfer operators. Zbl 1442.42059
Dyatlov, Semyon; Zworski, Maciej
2
2020
The sectional curvature remains positive when taking quotients by certain nonfree actions. Zbl 1249.53052
Dyatlov, S. V.
1
2007
Fractal Weyl laws and wave decay for general trapping. Zbl 1380.35021
Dyatlov, Semyon; Galkowski, Jeffrey
1
2017
Around quantum ergodicity. Zbl 1509.81498
Dyatlov, Semyon
1
2022
Pollicott-Ruelle resolvent and Sobolev regularity. Zbl 1512.37028
Dyatlov, Semyon
1
2023
Pollicott-Ruelle resolvent and Sobolev regularity. Zbl 1512.37028
Dyatlov, Semyon
1
2023
Control of eigenfunctions on surfaces of variable curvature. Zbl 1487.58032
Dyatlov, Semyon; Jin, Long; Nonnenmacher, Stéphane
9
2022
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Zbl 1502.37028
Cekić, Mihajlo; Delarue, Benjamin; Dyatlov, Semyon; Paternain, Gabriel P.
3
2022
Around quantum ergodicity. Zbl 1509.81498
Dyatlov, Semyon
1
2022
Fractal uncertainty for transfer operators. Zbl 1442.42059
Dyatlov, Semyon; Zworski, Maciej
2
2020
Mathematical theory of scattering resonances. Zbl 1454.58001
Dyatlov, Semyon; Zworski, Maciej
167
2019
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
17
2019
An introduction to fractal uncertainty principle. Zbl 1432.81034
Dyatlov, Semyon
10
2019
Improved fractal Weyl bounds for hyperbolic manifolds (with an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich). Zbl 1420.35035
Dyatlov, Semyon
3
2019
Spectral gaps without the pressure condition. Zbl 1392.37065
Bourgain, Jean; Dyatlov, Semyon
28
2018
Semiclassical measures on hyperbolic surfaces have full support. Zbl 1404.28010
Dyatlov, Semyon; Jin, Long
20
2018
Dolgopyat’s method and the fractal uncertainty principle. Zbl 1390.28016
Dyatlov, Semyon; Jin, Long
13
2018
Afterword: Dynamical zeta functions for axiom A flows. Zbl 1390.37002
Dyatlov, Semyon; Guillarmou, Colin
9
2018
Fourier dimension and spectral gaps for hyperbolic surfaces. Zbl 1421.11071
Bourgain, Jean; Dyatlov, Semyon
34
2017
Ruelle zeta function at zero for surfaces. Zbl 1382.58022
Dyatlov, Semyon; Zworski, Maciej
27
2017
Resonances for open quantum maps and a fractal uncertainty principle. Zbl 1372.81101
Dyatlov, Semyon; Jin, Long
14
2017
Fractal Weyl laws and wave decay for general trapping. Zbl 1380.35021
Dyatlov, Semyon; Galkowski, Jeffrey
1
2017
Dynamical zeta functions for Anosov flows via microlocal analysis. (Fonctions zêta dynamiques pour les flots d’Anosov en utilisant l’analyse microlocale.) Zbl 1369.37028
Dyatlov, Semyon; Zworski, Maciej
65
2016
Pollicott-Ruelle resonances for open systems. Zbl 1367.37038
Dyatlov, Semyon; Guillarmou, Colin
43
2016
Spectral gaps, additive energy, and a fractal uncertainty principle. Zbl 1384.58019
Dyatlov, Semyon; Zahl, Joshua
35
2016
Spectral gaps for normally hyperbolic trapping. (Trous spectraux pour des ensembles captés normalement hyperboliques.) Zbl 1350.35023
Dyatlov, Semyon
19
2016
Lower resolvent bounds and Lyapunov exponents. Zbl 1337.35121
Dyatlov, Semyon; Waters, Alden
2
2016
Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037
Dyatlov, Semyon; Zworski, Maciej
50
2015
Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056
Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin
32
2015
Asymptotics of linear waves and resonances with applications to black holes. Zbl 1315.83022
Dyatlov, Semyon
31
2015
Resonance projectors and asymptotics for \(r\)-normally hyperbolic trapped sets. Zbl 1338.35316
Dyatlov, Semyon
26
2015
Resonances and lower resolvent bounds. Zbl 1326.35299
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
13
2015
Microlocal limits of plane waves and Eisenstein functions. (Limites microlocales des ondes planes et les fonctions d’Eisenstein.) Zbl 1297.58007
Dyatlov, Semyon; Guillarmou, Colin
29
2014
Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
13
2014
Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100
Dyatlov, Semyon; Zworski, Maciej
21
2013
Fractal Weyl laws for asymptotically hyperbolic manifolds. Zbl 1297.58006
Datchev, Kiril; Dyatlov, Semyon
18
2013
Scattering phase asymptotics with fractal remainders. Zbl 1318.58016
Dyatlov, Semyon; Guillarmou, Colin
2
2013
Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes. Zbl 1246.83111
Dyatlov, Semyon
42
2012
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
8
2012
Microlocal limits of Eisenstein functions away from the unitarity axis. Zbl 1241.58015
Dyatlov, Semyon
7
2012
Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole. Zbl 1223.83029
Dyatlov, Semyon
50
2011
Exponential energy decay for Kerr-de Sitter black holes beyond event horizons. Zbl 1253.83020
Dyatlov, Semyon
34
2011
Symmetry of bound and antibound states in the semiclassical limit for a general class of potentials. Zbl 1206.34106
Dyatlov, Semyon; Ghosh, Subhroshekhar
2
2010
The sectional curvature remains positive when taking quotients by certain nonfree actions. Zbl 1249.53052
Dyatlov, S. V.
1
2007
all top 5

Cited by 477 Authors

27 Galkowski, Jeffrey
21 Dyatlov, Semyon
19 Guillarmou, Colin
17 Spence, Euan A.
17 Zworski, Maciej
14 Weich, Tobias
10 Datchev, Kiril R.
10 Wunsch, Jared
9 Hintz, Peter
9 Rivière, Gabriel
9 Vasy, András
7 Canzani, Yaiza
7 Delarue, Benjamin
7 Faure, Frédéric
7 Jin, Long
7 Lefeuvre, Thibault
7 Li, Jialun
6 Bonthonneau, Yannick Guedes
6 Drouot, Alexis
6 Ingremeau, Maxime
6 Shlapentokh-Rothman, Yakov
5 Christiansen, Tanya J.
5 Costa, João Lopes
5 Dafermos, Mihalis
5 Gajic, Dejan
5 Gannot, Oran
5 Häfner, Dietrich
5 Hilgert, Joachim
5 Korotyaev, Evgeny L.
5 Lafontaine, David
5 Liverani, Carlangelo
5 Rodnianski, Igor
5 Shapiro, Jacob
5 Shen, Shu
5 Shmerkin, Pablo S.
5 Tsujii, Masato
4 Ammari, Habib
4 Aretakis, Stefanos
4 Cakoni, Fioralba
4 Cekić, Mihajlo
4 Eswarathasan, Suresh
4 Fujiié, Setsuro
4 Holzegel, Gustav
4 Marchand, Pierre
4 Naud, Frédéric
4 Nonnenmacher, Stéphane
3 Albeverio, Sergio A.
3 Angelopoulos, Yannis
3 Bony, Jean-François
3 Borisov, Denis Ivanovich
3 Borthwick, David
3 Chandler-Wilde, Simon N.
3 Dang, Nguyen Viet
3 Faupin, Jérémy
3 Girão, Pedro Martins
3 Jakobson, Dmitry
3 Kameoka, Kentaro
3 Karabash, Illya M.
3 Knutsen, Helge
3 Macià, Fabricio
3 Marzuola, Jeremy Louis
3 Moiola, Andrea
3 Mokeev, Dmitriĭ Borisovich
3 Natário, José
3 Nguyen Viet Dang
3 Paternain, Gabriel Pedro
3 Pohl, Anke D.
3 Ramond, Thierry
3 Savale, Nikhil
3 Schütte, Philipp
3 Simon, Barry
3 Smith, Hart F.
3 Smulevici, Jacques
3 Strohmaier, Alexander
3 Toth, John Andrew
3 Uhlmann, Gunther Alberto
3 Vodev, Georgi
3 Ward, Rachel A.
3 Warnick, Claude M.
3 Xiong, Haoren
3 Zelditch, Steve
3 Zhao, Yue
2 Algom, Amir
2 Apolinário, Gabriel B.
2 Arnaiz, Víctor
2 Bahsoun, Wael
2 Bangun, Arya
2 Barkhofen, Sonja
2 Becker, Simon
2 Ben-Artzi, Jonathan
2 Besset, Nicolas
2 Bonnet-Ben Dhia, Anne-Sophie
2 Bourgain, Jean
2 Casals, Marc
2 Casarino, Valentina
2 Chakraborty, Sumanta
2 Chaubet, Yann
2 Chekroun, Mickaël D.
2 Chevillard, Laurent
2 Ciatti, Paolo
...and 377 more Authors
all top 5

Cited in 129 Serials

51 Communications in Mathematical Physics
33 Annales Henri Poincaré
16 Journal of Spectral Theory
14 Journal of Mathematical Physics
13 Annales de l’Institut Fourier
13 Pure and Applied Analysis
12 SIAM Journal on Mathematical Analysis
11 Analysis & PDE
10 Nonlinearity
10 Inventiones Mathematicae
10 Proceedings of the American Mathematical Society
9 Advances in Mathematics
9 Journal of Functional Analysis
8 Communications in Partial Differential Equations
7 Classical and Quantum Gravity
7 Transactions of the American Mathematical Society
7 Geometric and Functional Analysis. GAFA
6 Journal of Computational Physics
6 Journal of the European Mathematical Society (JEMS)
6 Journal of High Energy Physics
6 Annals of PDE
6 Annales Henri Lebesgue
5 Annals of Mathematics. Second Series
5 Oberwolfach Reports
5 Journal de l’École Polytechnique – Mathématiques
4 Journal of Mathematical Analysis and Applications
4 Ergodic Theory and Dynamical Systems
4 Journal of the American Mathematical Society
4 SIAM Journal on Applied Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of the Institute of Mathematics of Jussieu
3 Journal of Statistical Physics
3 Letters in Mathematical Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Journal of Differential Equations
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Annalen
3 Memoirs of the American Mathematical Society
3 Revista Matemática Iberoamericana
3 The Journal of Geometric Analysis
3 Bulletin of the American Mathematical Society. New Series
3 Applied and Computational Harmonic Analysis
3 Journal of Hyperbolic Differential Equations
3 Bulletin of Mathematical Sciences
3 Séminaire Laurent Schwartz. EDP et Applications
3 Probability and Mathematical Physics
2 Archive for Rational Mechanics and Analysis
2 General Relativity and Gravitation
2 Inverse Problems
2 Reviews in Mathematical Physics
2 Journal of Geometry and Physics
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 Integral Equations and Operator Theory
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Geometry
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Annals of Global Analysis and Geometry
2 Applied Mathematics Letters
2 Asymptotic Analysis
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 St. Petersburg Mathematical Journal
2 Selecta Mathematica. New Series
2 Advances in Computational Mathematics
2 Discrete and Continuous Dynamical Systems
2 The Journal of Fourier Analysis and Applications
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Analysis and Mathematical Physics
2 Annales Mathématiques du Québec
2 Research in the Mathematical Sciences
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Physica A
1 Studia Mathematica
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Revista de la Unión Matemática Argentina
1 Acta Mathematicae Applicatae Sinica. English Series
1 Sugaku Expositions
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Annals of Physics
1 SIAM Review
1 Stochastic Processes and their Applications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Fractals
1 Journal of Inverse and Ill-Posed Problems
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Opuscula Mathematica
...and 29 more Serials
all top 5

Cited in 51 Fields

263 Partial differential equations (35-XX)
125 Global analysis, analysis on manifolds (58-XX)
114 Dynamical systems and ergodic theory (37-XX)
107 Quantum theory (81-XX)
78 Relativity and gravitational theory (83-XX)
71 Operator theory (47-XX)
52 Differential geometry (53-XX)
33 Number theory (11-XX)
33 Measure and integration (28-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
23 Probability theory and stochastic processes (60-XX)
21 Numerical analysis (65-XX)
16 Ordinary differential equations (34-XX)
15 Optics, electromagnetic theory (78-XX)
13 Statistical mechanics, structure of matter (82-XX)
11 Functional analysis (46-XX)
10 Topological groups, Lie groups (22-XX)
10 Systems theory; control (93-XX)
9 Manifolds and cell complexes (57-XX)
8 Fluid mechanics (76-XX)
7 Information and communication theory, circuits (94-XX)
6 Special functions (33-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Functions of a complex variable (30-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Abstract harmonic analysis (43-XX)
5 Integral transforms, operational calculus (44-XX)
5 Geometry (51-XX)
4 Group theory and generalizations (20-XX)
4 Real functions (26-XX)
4 Potential theory (31-XX)
4 Approximations and expansions (41-XX)
4 Mechanics of particles and systems (70-XX)
3 Combinatorics (05-XX)
3 Algebraic geometry (14-XX)
3 Integral equations (45-XX)
3 Convex and discrete geometry (52-XX)
3 Computer science (68-XX)
3 Astronomy and astrophysics (85-XX)
2 Algebraic topology (55-XX)
2 Mechanics of deformable solids (74-XX)
2 Geophysics (86-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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