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Berkolaiko, Gregory

Author ID: berkolaiko.gregory Recent zbMATH articles by "Berkolaiko, Gregory"
Published as: Berkolaiko, Gregory; Berkolaiko, G.
External Links: ORCID
all top 5

Serials

5 Communications in Mathematical Physics
5 Journal of Mathematical Physics
5 Journal of Physics A: Mathematical and General
5 Journal of Physics A: Mathematical and Theoretical
3 Journal of Mathematical Analysis and Applications
3 Letters in Mathematical Physics
2 Nonlinearity
2 Transactions of the American Mathematical Society
2 Journal of Difference Equations and Applications
2 LMS Journal of Computation and Mathematics
2 Journal of Spectral Theory
1 Inverse Problems
1 Waves in Random Media
1 Advances in Mathematics
1 Journal of Combinatorial Theory. Series A
1 Proceedings of the American Mathematical Society
1 Studies in Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Dynamics and Stability of Systems
1 SIAM Journal on Matrix Analysis and Applications
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Calculus of Variations and Partial Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 New Journal of Physics
1 Annales Henri Poincaré
1 Stochastics
1 Contemporary Mathematics
1 Mathematical Surveys and Monographs
1 Mathematical Modelling of Natural Phenomena
1 Analysis & PDE
1 Analysis and Mathematical Physics
1 Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 1,060 times in 629 Documents Cited by Year
Introduction to quantum graphs. Zbl 1318.81005
Berkolaiko, Gregory; Kuchment, Peter
393
2013
Quantum graphs and their applications. Proceedings of an AMS-IMS-SIAM joint summer research conference on quantum graphs and their applications, Snowbird, UT, USA, June 19–23, 2005. Zbl 1098.81007
66
2006
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths. Zbl 1317.81127
Berkolaiko, G.; Kuchment, P.
46
2012
Surgery principles for the spectral analysis of quantum graphs. Zbl 1451.34029
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio
40
2019
Edge connectivity and the spectral gap of combinatorial and quantum graphs. Zbl 1456.81193
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio
32
2017
An elementary introduction to quantum graphs. Zbl 1388.34020
Berkolaiko, Gregory
31
2017
Symmetry and Dirac points in graphene spectrum. Zbl 1411.35092
Berkolaiko, Gregory; Comech, Andrew
30
2018
Limits of quantum graph operators with shrinking edges. Zbl 1422.81101
Berkolaiko, Gregory; Latushkin, Yuri; Sukhtaiev, Selim
29
2019
The number of nodal domains on quantum graphs as a stability index of graph partitions. Zbl 1244.81026
Band, Ram; Berkolaiko, Gregory; Raz, Hillel; Smilansky, Uzy
27
2012
A lower bound for nodal count on discrete and metric graphs. Zbl 1171.05356
Berkolaiko, Gregory
25
2008
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise. Zbl 1177.39020
Appleby, John A. D.; Berkolaiko, Gregory; Rodkina, Alexandra
23
2009
No quantum ergodicity for star graphs. Zbl 1059.81066
Berkolaiko, G.; Keating, J. P.; Winn, B.
22
2004
On spectral stability of solitary waves of nonlinear Dirac equation in 1D. Zbl 1247.35117
Berkolaiko, G.; Comech, A.
22
2012
Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph. Zbl 1348.81243
Berkolaiko, Gregory; Liu, Wen
21
2017
Star graphs and Šeba billiards. Zbl 1058.81021
Berkolaiko, G.; Bogomolny, E. B.; Keating, Jonathan P.
19
2001
Dynamics of nodal points and the nodal count on a family of quantum graphs. Zbl 1242.81085
Band, Ram; Berkolaiko, Gregory; Smilansky, Uzy
16
2012
Nodal count of graph eigenfunctions via magnetic perturbation. Zbl 1281.35089
Berkolaiko, Gregory
16
2013
Combinatorial theory of the semiclassical evaluation of transport moments. I: Equivalence with the random matrix approach. Zbl 1288.81048
Berkolaiko, G.; Kuipers, J.
16
2013
Form factor for a family of quantum graphs: an expansion to third order. Zbl 1035.81024
Berkolaiko, Gregory; Schanz, Holger; Whitney, Robert S.
15
2003
Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions. Zbl 1322.81042
Berkolaiko, Gregory; Weyand, Tracy
14
2014
Critical partitions and nodal deficiency of billiard eigenfunctions. Zbl 1308.35152
Berkolaiko, Gregory; Kuchment, Peter; Smilansky, Uzy
14
2012
Two-point spectral correlations for star graphs. Zbl 0946.81025
Berkolaiko, G.; Keating, Jonathan P.
13
1999
Almost sure convergence of solutions to non-homogeneous stochastic difference equation. Zbl 1099.39002
Berkolaiko, Gregory; Rodkina, Alexandra
13
2006
Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations. Zbl 1294.60093
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
13
2012
Nodal statistics on quantum graphs. Zbl 1406.81037
Alon, Lior; Band, Ram; Berkolaiko, Gregory
13
2018
Moments of the Wigner delay times. Zbl 1183.81069
Berkolaiko, Gregory; Kuipers, Jack
12
2010
On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations. Zbl 1155.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
12
2008
Transport moments beyond the leading order. Zbl 1275.82007
Berkolaiko, Gregory; Kuipers, Jack
12
2011
Quantum ergodicity for graphs related to interval maps. Zbl 1122.81037
Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U.
11
2007
Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs. Zbl 1335.81078
Band, Ram; Berkolaiko, Gregory; Weyand, Tracy
11
2015
Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields. Zbl 1309.35099
Berkolaiko, Gregory; Comech, Andrew; Sukhtayev, Alim
11
2015
Full counting statistics of chaotic cavities from classical action correlations. Zbl 1195.82073
Berkolaiko, G.; Harrison, J. M.; Novaes, M.
11
2008
Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230
Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
11
2021
Relationship between scattering matrix and spectrum of quantum graphs. Zbl 1204.81077
Berkolaiko, G.; Winn, B.
10
2010
Combinatorial theory of the semiclassical evaluation of transport moments II: algorithmic approach for moment generating functions. Zbl 1288.82053
Berkolaiko, G.; Kuipers, J.
10
2013
Stability of nodal structures in graph eigenfunctions and its relation to the nodal domain count. Zbl 1242.05159
Berkolaiko, Gregory; Raz, Hillel; Smilansky, Uzy
8
2012
Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map. Zbl 1417.58022
Berkolaiko, Gregory; Cox, Graham; Marzuola, Jeremy L.
7
2019
On asymptotic behavior of solutions to linear discrete stochastic equation. Zbl 1381.93094
Rodkina, Alexandra; Berkolaiko, Gregory
5
2004
Form factor expansion for large graphs: a diagrammatic approach. Zbl 1104.81052
Berkolaiko, Gregory
4
2006
Solving nonlinear recursions. Zbl 0859.65135
Rabinovich, S.; Berkolaiko, G.; Havlin, S.
4
1996
On the aysmptotic behavior of the moments of solutions of stochastic difference equations. Zbl 1127.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
4
2007
Spectral shift via “lateral” perturbation. Zbl 1501.47024
Berkolaiko, Gregory; Kuchment, Peter
4
2022
Mathematical aspects of vacuum energy on quantum graphs. Zbl 1154.81020
Berkolaiko, G.; Harrison, Jon M.; Wilson, J. H.
3
2009
Form factor for large quantum graphs: evaluating orbits with time reversal. Zbl 1063.81055
Berkolaiko, Gregory
3
2004
Inequivalent factorizations of permutations. Zbl 1331.05005
Berkolaiko, G.; Irving, J.
3
2016
Three-dimensional elastic beam frames: rigid joint conditions in variational and differential formulation. Zbl 1528.74072
Berkolaiko, Gregory; Ettehad, Mahmood
3
2022
Analysis of Carleman representation of analytical recursions. Zbl 0937.37023
Berkolaiko, G.; Rabinovich, S.; Havlin, S.
2
1998
Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices. Zbl 1028.82007
Berkolaiko, G.
2
2001
Computing nodal deficiency with a refined Dirichlet-to-Neumann map. Zbl 1495.35130
Berkolaiko, G.; Cox, G.; Helffer, B.; Sundqvist, M. P.
2
2022
Multiplicity of periodic solutions in bistable equations. Zbl 1149.34326
Berkolaiko, Gregory; Grinfeld, Michael
1
2006
Analytical solution of the logistic equation. Zbl 0905.39007
Rabinovich, S.; Berkolaiko, G.; Buldyrev, S.; Shehter, A.; Havlin, S.
1
1997
Dynamics of piecewise linear interval maps with hysteresis. Zbl 0942.37027
Berkolaiko, G.
1
1999
Two constructions of quantum graphs and two types of spectral statistics. Zbl 1154.81337
Berkolaiko, G.
1
2008
Corrigendum: On the use of a discrete form of the Itô formula in the article “Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations”. Zbl 1297.60044
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
1
2013
Degenerate band edges in periodic quantum graphs. Zbl 1456.81194
Berkolaiko, Gregory; Kha, Minh
1
2020
Locating conical degeneracies in the spectra of parametric self-adjoint matrices. Zbl 1467.65028
Berkolaiko, Gregory; Parulekar, Advait
1
2021
Stability of spectral partitions and the Dirichlet-to-Neumann map. Zbl 1497.58016
Berkolaiko, G.; Canzani, Y.; Cox, G.; Marzuola, J. L.
1
2022
A local test for global extrema in the dispersion relation of a periodic graph. Zbl 1505.35312
Berkolaiko, Gregory; Canzani, Yaiza; Cox, Graham; Marzuola, Jeremy Louis
1
2022
Spectral shift via “lateral” perturbation. Zbl 1501.47024
Berkolaiko, Gregory; Kuchment, Peter
4
2022
Three-dimensional elastic beam frames: rigid joint conditions in variational and differential formulation. Zbl 1528.74072
Berkolaiko, Gregory; Ettehad, Mahmood
3
2022
Computing nodal deficiency with a refined Dirichlet-to-Neumann map. Zbl 1495.35130
Berkolaiko, G.; Cox, G.; Helffer, B.; Sundqvist, M. P.
2
2022
Stability of spectral partitions and the Dirichlet-to-Neumann map. Zbl 1497.58016
Berkolaiko, G.; Canzani, Y.; Cox, G.; Marzuola, J. L.
1
2022
A local test for global extrema in the dispersion relation of a periodic graph. Zbl 1505.35312
Berkolaiko, Gregory; Canzani, Yaiza; Cox, Graham; Marzuola, Jeremy Louis
1
2022
Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230
Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
11
2021
Locating conical degeneracies in the spectra of parametric self-adjoint matrices. Zbl 1467.65028
Berkolaiko, Gregory; Parulekar, Advait
1
2021
Degenerate band edges in periodic quantum graphs. Zbl 1456.81194
Berkolaiko, Gregory; Kha, Minh
1
2020
Surgery principles for the spectral analysis of quantum graphs. Zbl 1451.34029
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio
40
2019
Limits of quantum graph operators with shrinking edges. Zbl 1422.81101
Berkolaiko, Gregory; Latushkin, Yuri; Sukhtaiev, Selim
29
2019
Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map. Zbl 1417.58022
Berkolaiko, Gregory; Cox, Graham; Marzuola, Jeremy L.
7
2019
Symmetry and Dirac points in graphene spectrum. Zbl 1411.35092
Berkolaiko, Gregory; Comech, Andrew
30
2018
Nodal statistics on quantum graphs. Zbl 1406.81037
Alon, Lior; Band, Ram; Berkolaiko, Gregory
13
2018
Edge connectivity and the spectral gap of combinatorial and quantum graphs. Zbl 1456.81193
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio
32
2017
An elementary introduction to quantum graphs. Zbl 1388.34020
Berkolaiko, Gregory
31
2017
Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph. Zbl 1348.81243
Berkolaiko, Gregory; Liu, Wen
21
2017
Inequivalent factorizations of permutations. Zbl 1331.05005
Berkolaiko, G.; Irving, J.
3
2016
Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs. Zbl 1335.81078
Band, Ram; Berkolaiko, Gregory; Weyand, Tracy
11
2015
Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields. Zbl 1309.35099
Berkolaiko, Gregory; Comech, Andrew; Sukhtayev, Alim
11
2015
Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions. Zbl 1322.81042
Berkolaiko, Gregory; Weyand, Tracy
14
2014
Introduction to quantum graphs. Zbl 1318.81005
Berkolaiko, Gregory; Kuchment, Peter
393
2013
Nodal count of graph eigenfunctions via magnetic perturbation. Zbl 1281.35089
Berkolaiko, Gregory
16
2013
Combinatorial theory of the semiclassical evaluation of transport moments. I: Equivalence with the random matrix approach. Zbl 1288.81048
Berkolaiko, G.; Kuipers, J.
16
2013
Combinatorial theory of the semiclassical evaluation of transport moments II: algorithmic approach for moment generating functions. Zbl 1288.82053
Berkolaiko, G.; Kuipers, J.
10
2013
Corrigendum: On the use of a discrete form of the Itô formula in the article “Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations”. Zbl 1297.60044
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
1
2013
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths. Zbl 1317.81127
Berkolaiko, G.; Kuchment, P.
46
2012
The number of nodal domains on quantum graphs as a stability index of graph partitions. Zbl 1244.81026
Band, Ram; Berkolaiko, Gregory; Raz, Hillel; Smilansky, Uzy
27
2012
On spectral stability of solitary waves of nonlinear Dirac equation in 1D. Zbl 1247.35117
Berkolaiko, G.; Comech, A.
22
2012
Dynamics of nodal points and the nodal count on a family of quantum graphs. Zbl 1242.81085
Band, Ram; Berkolaiko, Gregory; Smilansky, Uzy
16
2012
Critical partitions and nodal deficiency of billiard eigenfunctions. Zbl 1308.35152
Berkolaiko, Gregory; Kuchment, Peter; Smilansky, Uzy
14
2012
Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations. Zbl 1294.60093
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
13
2012
Stability of nodal structures in graph eigenfunctions and its relation to the nodal domain count. Zbl 1242.05159
Berkolaiko, Gregory; Raz, Hillel; Smilansky, Uzy
8
2012
Transport moments beyond the leading order. Zbl 1275.82007
Berkolaiko, Gregory; Kuipers, Jack
12
2011
Moments of the Wigner delay times. Zbl 1183.81069
Berkolaiko, Gregory; Kuipers, Jack
12
2010
Relationship between scattering matrix and spectrum of quantum graphs. Zbl 1204.81077
Berkolaiko, G.; Winn, B.
10
2010
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise. Zbl 1177.39020
Appleby, John A. D.; Berkolaiko, Gregory; Rodkina, Alexandra
23
2009
Mathematical aspects of vacuum energy on quantum graphs. Zbl 1154.81020
Berkolaiko, G.; Harrison, Jon M.; Wilson, J. H.
3
2009
A lower bound for nodal count on discrete and metric graphs. Zbl 1171.05356
Berkolaiko, Gregory
25
2008
On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations. Zbl 1155.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
12
2008
Full counting statistics of chaotic cavities from classical action correlations. Zbl 1195.82073
Berkolaiko, G.; Harrison, J. M.; Novaes, M.
11
2008
Two constructions of quantum graphs and two types of spectral statistics. Zbl 1154.81337
Berkolaiko, G.
1
2008
Quantum ergodicity for graphs related to interval maps. Zbl 1122.81037
Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U.
11
2007
On the aysmptotic behavior of the moments of solutions of stochastic difference equations. Zbl 1127.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
4
2007
Quantum graphs and their applications. Proceedings of an AMS-IMS-SIAM joint summer research conference on quantum graphs and their applications, Snowbird, UT, USA, June 19–23, 2005. Zbl 1098.81007
66
2006
Almost sure convergence of solutions to non-homogeneous stochastic difference equation. Zbl 1099.39002
Berkolaiko, Gregory; Rodkina, Alexandra
13
2006
Form factor expansion for large graphs: a diagrammatic approach. Zbl 1104.81052
Berkolaiko, Gregory
4
2006
Multiplicity of periodic solutions in bistable equations. Zbl 1149.34326
Berkolaiko, Gregory; Grinfeld, Michael
1
2006
No quantum ergodicity for star graphs. Zbl 1059.81066
Berkolaiko, G.; Keating, J. P.; Winn, B.
22
2004
On asymptotic behavior of solutions to linear discrete stochastic equation. Zbl 1381.93094
Rodkina, Alexandra; Berkolaiko, Gregory
5
2004
Form factor for large quantum graphs: evaluating orbits with time reversal. Zbl 1063.81055
Berkolaiko, Gregory
3
2004
Form factor for a family of quantum graphs: an expansion to third order. Zbl 1035.81024
Berkolaiko, Gregory; Schanz, Holger; Whitney, Robert S.
15
2003
Star graphs and Šeba billiards. Zbl 1058.81021
Berkolaiko, G.; Bogomolny, E. B.; Keating, Jonathan P.
19
2001
Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices. Zbl 1028.82007
Berkolaiko, G.
2
2001
Two-point spectral correlations for star graphs. Zbl 0946.81025
Berkolaiko, G.; Keating, Jonathan P.
13
1999
Dynamics of piecewise linear interval maps with hysteresis. Zbl 0942.37027
Berkolaiko, G.
1
1999
Analysis of Carleman representation of analytical recursions. Zbl 0937.37023
Berkolaiko, G.; Rabinovich, S.; Havlin, S.
2
1998
Analytical solution of the logistic equation. Zbl 0905.39007
Rabinovich, S.; Berkolaiko, G.; Buldyrev, S.; Shehter, A.; Havlin, S.
1
1997
Solving nonlinear recursions. Zbl 0859.65135
Rabinovich, S.; Berkolaiko, G.; Havlin, S.
4
1996
all top 5

Cited by 673 Authors

30 Berkolaiko, Gregory
26 Exner, Pavel
23 Mugnolo, Delio
22 Rodkina, Alexandra
21 Kurasov, Pavel B.
12 Band, Ram
12 Dovetta, Simone
12 Kennedy, James Bernard
12 Pelinovsky, Dmitry Efimovich
11 Bondarenko, Natalia P.
11 Braverman, Elena
10 Adami, Riccardo
10 Rohleder, Jonathan
10 Smilansky, Uzy
9 Borisov, Denis Ivanovich
9 Cacciapuoti, Claudio
9 Noja, Diego
9 Rabinovich, Vladimir Samuilovich
9 Weinstein, Michael I.
9 Yang, Chuanfu
8 Korotyaev, Evgeny L.
8 Kostenko, Aleksey S.
8 Kuchment, Peter A.
8 Popov, Igor’ Yur’evich
8 Saburova, Natalia
8 Serra, Enrico
8 Tentarelli, Lorenzo
7 Angulo Pava, Jaime
7 Avdonin, Sergeĭ Anatol’evich
7 Pankrashkin, Konstantin
7 Post, Olaf
7 Winn, Brian
6 Drouot, Alexis
6 Goloshchapova, Nataliia
6 Kairzhan, Adilbek
6 Keating, Jonathan Peter
6 Lipovský, Jiří
6 Liu, Wei
6 Mao, Xuerong
6 Marzuola, Jeremy Louis
6 Nicolussi, Noema
6 Plümer, Marvin
6 Tilli, Paolo
5 Baradaran, Marzieh
5 Behrndt, Jussi
5 Comech, Andrew
5 Cox, Graham
5 Gnutzmann, Sven
5 Hussein, Amru
5 Kelly, Cónall
5 Kiselev, Alexander V.
5 Malamud, Mark M.
5 Mezzadri, Francesco
5 Niikuni, Hiroaki
5 Novaes, Marcel
5 Rossi, Julio Daniel
5 Serio, Andrea
5 Shafarevich, Andreĭ Igorevich
5 Tater, Miloš
5 Teplyaev, Alexander
5 Tolchennikov, Anton A.
5 Weyand, Tracy
4 Albeverio, Sergio A.
4 Anantharaman, Nalini
4 Appleby, John A. D.
4 Blinova, Irina V.
4 Bolte, Jens
4 Cavalcante, Márcio André Araújo
4 Cherednichenko, Kirill D.
4 Fefferman, Charles Louis
4 Finco, Domenico
4 Harrell, Evans M. II
4 Harrison, Jon M.
4 Helffer, Bernard
4 Hofmann, Matthias
4 Howard, Peter
4 Ingremeau, Maxime
4 Kerner, Joachim
4 Latushkin, Yuri
4 Lenz, Daniel H.
4 Lotoreichik, Vladimir
4 Muminov, Zahriddin Ishkobilovich
4 Neidhardt, Hagen
4 Pivovarchik, Vyacheslav N.
4 Seifert, Christian
4 Shipman, Stephen P.
4 Sukhtaiev, Selim
4 Turek, Ondřej
3 Allilueva, Anna I.
3 Barrera-Figueroa, Victor
3 Borrelli, William
3 Boussaid, Nabile
3 Carlone, Raffaele
3 Chernyshev, Vsevolod L.
3 Colin de Verdière, Yves
3 Cunden, Fabio Deelan
3 Ershova, Yulia Yu.
3 Ignat, Liviu I.
3 Ishii, Yuta
3 Joly, Patrick
...and 573 more Authors
all top 5

Cited in 194 Serials

32 Journal of Physics A: Mathematical and Theoretical
30 Journal of Mathematical Physics
23 Communications in Mathematical Physics
23 Annales Henri Poincaré
22 Journal of Mathematical Analysis and Applications
15 Journal of Differential Equations
14 Letters in Mathematical Physics
13 Analysis and Mathematical Physics
12 Integral Equations and Operator Theory
11 Journal of Spectral Theory
10 Journal of Functional Analysis
9 Calculus of Variations and Partial Differential Equations
9 Russian Journal of Mathematical Physics
8 Nonlinearity
8 Physics Letters. A
8 Proceedings of the American Mathematical Society
7 Reviews in Mathematical Physics
7 Advances in Mathematics
7 SIAM Journal on Mathematical Analysis
7 Journal of Difference Equations and Applications
6 Journal of Computational and Applied Mathematics
6 Transactions of the American Mathematical Society
6 Journal of Mathematical Sciences (New York)
6 Networks and Heterogeneous Media
6 Symmetry
5 Reports on Mathematical Physics
5 Mathematische Nachrichten
5 Physica D
5 Journal of Nonlinear Science
5 Discrete and Continuous Dynamical Systems
5 Discrete and Continuous Dynamical Systems. Series B
4 Applicable Analysis
4 Computers & Mathematics with Applications
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Results in Mathematics
4 Journal of Global Optimization
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Applied and Computational Harmonic Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 Journal of Evolution Equations
4 Communications on Pure and Applied Analysis
4 Multiscale Modeling & Simulation
4 Inverse Problems and Imaging
4 Operators and Matrices
3 Journal of Statistical Physics
3 Studies in Applied Mathematics
3 Doklady Mathematics
3 Mathematical Physics, Analysis and Geometry
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Communications in Nonlinear Science and Numerical Simulation
3 Lobachevskii Journal of Mathematics
3 Quantum Information Processing
3 Advances in Difference Equations
3 Oberwolfach Reports
3 Complex Analysis and Operator Theory
3 Discrete and Continuous Dynamical Systems. Series S
3 Mathematical Control and Related Fields
3 Pure and Applied Analysis
2 Archive for Rational Mechanics and Analysis
2 Journal d’Analyse Mathématique
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Ukrainian Mathematical Journal
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 Automatica
2 Duke Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Annalen
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Systems & Control Letters
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 SIAM Journal on Matrix Analysis and Applications
2 Numerical Algorithms
2 Geometric and Functional Analysis. GAFA
2 Annals of Physics
2 Linear Algebra and its Applications
2 SIAM Journal on Applied Mathematics
2 Electronic Journal of Differential Equations (EJDE)
2 St. Petersburg Mathematical Journal
2 Opuscula Mathematica
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Chaos
2 Discrete Dynamics in Nature and Society
2 Complex Variables and Elliptic Equations
2 Analysis & PDE
2 Evolution Equations and Control Theory
2 Mathematics in Engineering
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 International Journal of Engineering Science
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Physica A
...and 94 more Serials
all top 5

Cited in 48 Fields

309 Quantum theory (81-XX)
283 Partial differential equations (35-XX)
164 Ordinary differential equations (34-XX)
137 Operator theory (47-XX)
131 Combinatorics (05-XX)
53 Probability theory and stochastic processes (60-XX)
50 Global analysis, analysis on manifolds (58-XX)
45 Dynamical systems and ergodic theory (37-XX)
40 Statistical mechanics, structure of matter (82-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
35 Difference and functional equations (39-XX)
34 Systems theory; control (93-XX)
33 Numerical analysis (65-XX)
26 Functional analysis (46-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
10 Biology and other natural sciences (92-XX)
9 Measure and integration (28-XX)
9 Approximations and expansions (41-XX)
9 Optics, electromagnetic theory (78-XX)
7 Mechanics of deformable solids (74-XX)
6 Potential theory (31-XX)
6 Operations research, mathematical programming (90-XX)
5 Real functions (26-XX)
5 Convex and discrete geometry (52-XX)
5 Mechanics of particles and systems (70-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
3 Algebraic geometry (14-XX)
3 Nonassociative rings and algebras (17-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral equations (45-XX)
3 Differential geometry (53-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Fluid mechanics (76-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year