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de la Llave, Rafael

Author ID: de-la-llave.rafael Recent zbMATH articles by "de la Llave, Rafael"
Published as: de la Llave, Rafael; de la Llave, R.; De La Llave, Rafael; De la Llave, R.; de La Llave, Rafael; De la Llave, Rafael; La Llave, Rafael De; De La Llave, R.; De la Lĺave, R.
Further Spellings: de la Llave Canosa, Rafael
Homepage: http://people.math.gatech.edu/~rll6/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef · theses.fr
all top 5

Co-Authors

24 single-authored
17 Calleja, Renato C.
14 Celletti, Alessandra
11 Fontich, Ernest
10 M-Seara, Tere
9 Delshams, Amadeu
9 Gidea, Marian
9 Valdinoci, Enrico
8 Su, Xifeng
7 Petrov, Nikola P.
6 Gimeno, Joan
6 Haro, Àlex
6 Sire, Yannick
5 Martín, Pau
4 Anderson, Rodney L.
4 González-Enríquez, Alejandra
4 Kumar, Bhanu
4 Moriyón, Roberto
4 Wayne, Clarence Eugene
4 Windsor, Alistair
3 Blass, Timothy
3 Cabré, Xavier
3 Cheng, Hongyu
3 Falcolini, Corrado
3 He, Xiaolong
3 Huguet, Gemma
3 Jiang, Miaohua
3 Marco, José Manuel
3 Olvera, Arturo
3 Tompaidis, Stathis
3 Wang, Fenfen
3 Yang, Jiaqi
3 Zhang, Lei
2 Banyaga, Augustin
2 Blazevski, Daniel
2 Bustamante, Adrián P.
2 Caffarelli, Luis Ángel
2 Corsi, Livia
2 Díaz-Espinosa, Oliver
2 Fefferman, Charles Louis
2 Figueras, Jordi-Lluís
2 Jorba, Àngel
2 Koch, Hans-Friedrich
2 Li, Xuemei
2 Mireles-James, Jason D.
2 Musser, Maxwell
2 Obaya, Rafael
2 Panayotaros, Panayotis
2 Pesin, Yakov Borisovich
2 Radin, Charles
2 Rana, David
2 Sadovskaya, Victoria
2 Saprykina, Maria
2 Yao, Yian
1 Adomaitis, Raymond A.
1 Alishah, Hassan Najafi
1 An, Yujia
1 Apte, Amit
1 Baldomá, Inmaculada
1 Canadell, Marta
1 Capinski, Maciej J.
1 Casal, Alfonso Carlos
1 Chen, Qinbo
1 Cordoba, Diego
1 Fox, Adam M.
1 Gameiro, Marcio F.
1 Gogolev, Andrey
1 González, Alejandra
1 Gunter, Brian C.
1 Haddad, Wassim Michael
1 Itin, A. P.
1 Kalinin, Boris
1 Katok, Anatole
1 Kevrekidis, Ioannis George
1 Kogelbauer, Florian
1 Lessard, Jean-Philippe
1 Lomelí, Héctor E.
1 Lorenz, Jens
1 Luque, Alejandro
1 Micena, Fernando Pereira
1 Neĭshtadt, Anatoliĭ Iserovich
1 Petzold, Linda Ruth
1 Salahshoor, Hossein
1 Shirani, Farshad
1 Shub, Michael
1 Simó, Carles
1 Vano, John A.
1 Vasil’ev, Alekseĭ Alekseevich
1 Villanueva, Jordi
1 Wang, Donghua
1 Weiss, Howard
1 Xu, Lu
1 Xu, Xiaodan
1 Yao, Dongyu
1 Zou, Maorong
all top 5

Serials

13 Journal of Statistical Physics
13 Journal of Differential Equations
13 Discrete and Continuous Dynamical Systems
12 Nonlinearity
11 SIAM Journal on Applied Dynamical Systems
9 Communications in Mathematical Physics
8 Ergodic Theory and Dynamical Systems
8 SIAM Journal on Mathematical Analysis
5 Journal of Dynamics and Differential Equations
5 Journal of Nonlinear Science
4 Advances in Mathematics
4 Physica D
4 Chaos
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Physics A: Mathematical and Theoretical
3 Transactions of the American Mathematical Society
3 Regular and Chaotic Dynamics
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Indiana University Mathematics Journal
2 Memoirs of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Celestial Mechanics and Dynamical Astronomy
2 Mathematical Research Letters
2 Mathematical Physics Electronic Journal
2 Annales Henri Poincaré
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Modern Dynamics
2 Discrete and Continuous Dynamical Systems. Series S
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Mathematische Zeitschrift
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 The Journal of Geometric Analysis
1 Expositiones Mathematicae
1 Journal of Knot Theory and its Ramifications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Experimental Mathematics
1 Electronic Research Announcements of the American Mathematical Society
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Dynamical and Control Systems
1 Qualitative Theory of Dynamical Systems
1 La Gaceta de la Real Sociedad Matemática Española
1 Physical Review Letters
1 Foundations of Computational Mathematics
1 Communications on Pure and Applied Analysis
1 The IMA Volumes in Mathematics and its Applications
1 Proceedings of Symposia in Pure Mathematics
1 Networks and Heterogeneous Media
1 Electronic Research Announcements in Mathematical Sciences
1 Mathematics Research Reports

Publications by Year

Citations contained in zbMATH Open

168 Publications have been cited 3,093 times in 1,235 Documents Cited by Year
The parameterization method for invariant manifolds. I: Manifolds associated to non-resonant subspaces. Zbl 1034.37016
Cabré, Xavier; Fontich, Ernest; De La Llave, Rafael
136
2003
The parameterization method for invariant manifolds. III: Overview and applications. Zbl 1101.37019
Cabré, Xavier; Fontich, Ernest; de La Llave, Rafael
133
2005
Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation. Zbl 0603.58016
De la Llave, R.; Marco, J. M.; Moriyon, R.
120
1986
A tutorial on KAM theory. Zbl 1055.37064
de la Llave, Rafael
109
2001
The parameterization method for invariant manifolds. II: Regularity with respect to parameters. Zbl 1034.37017
Cabré, Xavier; Fontich, Ernest; De La Llave, Rafael
91
2003
KAM theory without action-angle variables. Zbl 1067.37081
de la Llave, R.; González, A.; Jorba, À.; Villanueva, J.
78
2005
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: rigorous results. Zbl 1102.37017
Haro, A.; de la Llave, R.
72
2006
A geometric mechanism for diffusion in Hamiltonian systems overcoming in the large gap problem: Heuristics and rigorous verification on a model. Zbl 1090.37044
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M.
72
2006
A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms. Zbl 1296.37048
Haro, À.; de la Llave, R.
70
2006
Relativistic stability of matter. I. Zbl 0602.58015
Fefferman, C.; de la Llave, R.
69
1987
A KAM theory for conformally symplectic systems: efficient algorithms and their validation. Zbl 1345.37078
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
61
2013
Geometric properties of the scattering map of a normally hyperbolic invariant manifold. Zbl 1131.37032
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M.
56
2008
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity. Zbl 1210.37062
Haro, A.; de la Llave, R.
55
2007
A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\). Zbl 0952.70015
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M.
53
2000
Regularity of the composition operator in spaces of Hölder functions. Zbl 0956.47029
de la Llave, R.; Obaya, R.
51
1999
Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems. Zbl 0770.58029
de la Llave, R.
45
1992
Planelike minimizers in periodic media. Zbl 1036.49040
Caffarelli, Luis A.; de la Llave, Rafael
45
2001
On squirt singularities in hydrodynamics. Zbl 1078.76018
Córdoba, Diego; Fefferman, Charles; de la Llave, Rafael
39
2004
KAM theory and a partial justification of Greene’s criterion for nontwist maps. Zbl 1049.37032
Delshams, Amadeu; de la Llave, Rafael
39
2000
A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification. Zbl 1209.37008
Calleja, Renato; de la Llave, Rafael
36
2010
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
35
2013
Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
33
2009
A rigorous partial justification of Greene’s criterion. Zbl 0892.58045
Falcolini, Corrado; de la Llave, R.
32
1992
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004
Huguet, Gemma; de la Llave, Rafael; Sire, Yannick
32
2012
A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations. Zbl 1171.35372
de la Llave, Rafael; Valdinoci, Enrico
28
2009
Invariants for smooth conjugacy of hyperbolic dynamical systems. II. Zbl 0673.58036
de la Llave, R.
28
1987
Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media. Zbl 1152.35038
de la Llave, Rafael; Valdinoci, Enrico
27
2007
Singularity theory for non-twist KAM tori. Zbl 1343.37043
González-Enríquez, A.; Haro, A.; de la Llave, R.
27
2014
On Irwin’s proof of the pseudostable manifold theorem. Zbl 0843.58100
de la Llave, Rafael; Wayne, C. Eugene
26
1995
Cohomology equations near hyperbolic points and geometric versions of Sternberg linearization theorem. Zbl 0918.53016
Banyaga, A.; de la Llave, R.; Wayne, C. E.
26
1996
Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case. Zbl 1407.34094
He, Xiaolong; de la Llave, Rafael
26
2016
Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems. Zbl 1230.37042
de la Llave, Rafael; Windsor, Alistair
26
2010
Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. Zbl 1091.37018
Delshams, Amadeu; de La Llave, Rafael; Seara, Tere M.
25
2006
Topological methods in the instability problem of Hamiltonian systems. Zbl 1098.37056
Gidea, Marian; de la Llave, Rafael
25
2006
A general mechanism of diffusion in Hamiltonian systems: qualitative results. Zbl 1437.37072
Gidea, Marian; La Llave, Rafael De; M-Seara, Tere
24
2020
Fast numerical computation of quasi-periodic equilibrium states in 1D statistical mechanics, including twist maps. Zbl 1183.37014
Calleja, Renato; de la Llave, Rafael
24
2009
Ground states and critical points for generalized Frenkel-Kontorova models in \(\mathbb Z^d\). Zbl 1206.82026
de la Llave, Rafael; Valdinoci, Enrico
23
2007
A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations. Zbl 1370.65046
Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael
23
2017
Interfaces of ground states in Ising models with periodic coefficients. Zbl 1126.82305
Caffarelli, Luis A.; de la Llave, Rafael
22
2005
Invariant manifolds associated to nonresonant spectral subspaces. Zbl 0965.37028
de la Llave, Rafael
22
1997
Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation. Zbl 1370.65047
Figueras, Jordi-Lluís; de la Llave, Rafael
22
2017
Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification. Zbl 1359.37121
Capiński, Maciej J.; Gidea, Marian; de la Llave, Rafael
22
2017
Geometric approaches to the problem of instability in Hamiltonian systems: an informal presentation. Zbl 1144.37022
Delshams, Amadeu; Gidea, Marian; de la Llave, Rafael; Seara, Tere M.
21
2008
Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion. Zbl 1355.37074
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M.
21
2016
A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities. Zbl 1179.35340
de la Llave, Rafael
21
2009
Ground states and critical points for Aubry-Mather theory in Statistical mechanics. Zbl 1196.82095
de la Llave, Rafael; Valdinoci, Enrico
20
2010
Construction of quasi-periodic solutions of delay differential equations via KAM techniques. Zbl 1184.34076
Li, Xuemei; de la Llave, Rafael
19
2009
An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108
de la Llave, Rafael; Sire, Yannick
19
2019
Invariants for smooth conjugacy of hyperbolic dynamical systems. IV. Zbl 0673.58038
de la Llave, R.; Moriyón, R.
19
1988
Whiskered and low dimensional tori in nearly integrable Hamiltonian systems. Zbl 1136.37349
de la Llave, R.; Wayne, C. E.
18
2004
Manifolds on the verge of a hyperbolicity breakdown. Zbl 1144.37352
Haro, À.; de la Llave, R.
18
2006
Accurate strategies for K. A. M. bounds and their implementation. Zbl 0747.65039
De la Llave, R.; Rana, D.
17
1991
The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points. Zbl 1123.37011
Baldomá, Immaculada; Fontich, Ernest; de la Llave, Rafael; Martín, Pau
17
2007
Aubry-Mather theory for functions on lattices. Zbl 0948.37015
Koch, Hans; de la Llave, Rafael; Radin, Charles
17
1997
On the Aubry-Mather theory in statistical mechanics. Zbl 0917.46070
Candel, A.; de la Llave, R.
17
1998
Lindstedt series for lower dimensional tori. Zbl 0961.37020
Jorba, Àngel; de la Llave, Rafael; Zou, Maorong
17
1999
Local rigidity for Anosov automorphisms. With an appendix by Rafael de la Llave. Zbl 1271.37031
Gogolev, Andrey; Kalinin, Boris; Sadovskaya, Victoria
17
2011
Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors. Zbl 0892.58066
Falcolini, Corrado; de la Llave, R.
16
1992
Existence of ideal knots. Zbl 1028.57008
Gonzalez, O.; de la Llave, R.
16
2003
Smooth dependence of thermodynamic limits of SRB-measures. Zbl 0956.37022
Jiang, Miaohua; de la Llave, Rafael
16
2000
Construction of response functions in forced strongly dissipative systems. Zbl 1339.70040
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
16
2013
A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
16
2009
Regularity of critical invariant circles of the standard nontwist map. Zbl 1074.37026
Apte, A.; de la Llave, Rafael; Petrov, Nikola P.
15
2005
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: announcement of results. Zbl 1068.37043
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M.
15
2003
Response solutions for quasi-periodically forced, dissipative wave equations. Zbl 1516.35036
Calleja, Renato C.; Celletti, Alessandra; Corsi, Livia; de la Llave, Rafael
15
2017
Accurate strategies for small divisor problems. Zbl 0739.58060
De la Llave, R.; Rana, David
15
1990
Local behavior near quasi-periodic solutions of conformally symplectic systems. Zbl 1274.70040
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
15
2013
Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. I: Finitely differentiable, hyperbolic case. Zbl 1384.34080
He, Xiaolong; de la Llave, Rafael
15
2017
Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
14
2015
KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
14
2022
Computation of the breakdown of analyticity in statistical mechanics models: Numerical results and a renormalization group explanation. Zbl 1205.82067
Calleja, Renato; de la Llave, Rafael
14
2010
Regularity of conjugacies between critical circle maps: an experimental study. Zbl 1116.37306
de la Llave, Rafael; Petrov, Nikola P.
14
2002
Variational methods for quasi-periodic solutions of partial differential equations. Zbl 0987.35015
de la Llave, Rafael
13
2000
Perturbations of geodesic flows by recurrent dynamics. Zbl 1362.37116
Gidea, Marian; de la Llave, Rafael
13
2017
Parameterization of invariant manifolds by reducibility for volume preserving and symplectic maps. Zbl 1252.32015
de la Llave, Rafael; Mireles James, Jason D.
13
2012
KAM theory for quasi-periodic equilibria in one-dimensional quasi-periodic media. Zbl 1329.70046
Su, Xifeng; de la Llave, Rafael
13
2012
Symmetry for a Dirichlet-Neumann problem arising in water waves. Zbl 1202.35066
de la Llave, Rafael; Valdinoci, Enrico
13
2009
The obstruction criterion for non-existence of invariant circles and renormalization. Zbl 1190.37046
de la Llave, Rafael; Olvera, Arturo
12
2006
Critical points inside the gaps of ground state laminations for some models in statistical mechanics. Zbl 1132.82010
de la Llave, Rafael; Valdinoci, Enrico
12
2007
Connecting orbits for compact infinite dimensional maps: computer assisted proofs of existence. Zbl 1343.37078
de la Llave, R.; Mireles James, J. D.
12
2016
Stable manifolds to bounded solutions in possibly ill-posed PDEs. Zbl 1448.35564
Cheng, Hongyu; de la Llave, Rafael
12
2020
Analytic smoothing of geometric maps with applications to KAM theory. Zbl 1160.37024
González-Enríquez, A.; de la Llave, R.
11
2008
Further rigidity properties of conformal Anosov systems. Zbl 1087.37024
De La Llave, R.
11
2004
KAM theory for equilibrium states in 1-D statistical mechanics models. Zbl 1163.82002
de la Llave, Rafael
10
2008
Rigidity of higher-dimensional conformal Anosov systems. Zbl 1028.37021
de la Llave, Rafael
10
2002
Gravity waves on the surface of the sphere. Zbl 0844.76008
de la Llave, R.; Panayotaros, P.
10
1996
Barriers to transport and mixing in volume-preserving maps with nonzero flux. Zbl 1364.76066
Fox, Adam M.; de la Llave, Rafael
10
2015
The analyticity breakdown for Frenkel-Kontorova models in quasi-periodic media: numerical explorations. Zbl 1266.82014
Blass, Timothy; de la Llave, Rafael
10
2013
Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems. Zbl 1425.70037
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
10
2017
Response solutions to quasi-periodically forced systems, even to possibly ill-posed PDEs, with strong dissipation and any frequency vectors. Zbl 1448.34117
Wang, Fenfen; de la Llave, Rafael
10
2020
KAM tori and whiskered invariant tori for non-autonomous systems. Zbl 1364.37048
Canadell, Marta; de la Llave, Rafael
9
2015
Parameterization method for state-dependent delay perturbation of an ordinary differential equation. Zbl 1482.34193
Yang, Jiaqi; Gimeno, Joan; de la Llave, Rafael
9
2021
Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W. Si and J. Si and extensions. Zbl 1473.37075
Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen
9
2021
Expansions in the delay of quasi-periodic solutions for state dependent delay equations. Zbl 1514.34128
Casal, Alfonso; Corsi, Livia; de la Llave, Rafael
9
2020
Linear response function for coupled hyperbolic attractors. Zbl 1084.37031
Jiang, Miaohua; de la Llave, Rafael
9
2006
Remarks on Sobolev regularity in Anosov systems. Zbl 1055.37030
de la Llave, Rafael
8
2001
Resonant equilibrium configurations in quasi-periodic media: perturbative expansions. Zbl 1382.70022
de la Llave, Rafael; Su, Xifeng; Zhang, Lei
8
2016
An extension of Greene’s criterion for conformally symplectic systems and a partial justification. Zbl 1341.37031
Calleja, Renato C.; Celletti, Alessandra; Falcolini, Corrado; de la Llave, Rafael
8
2014
Time-dependent scattering theory for ODEs and applications to reaction dynamics. Zbl 1223.34119
Blazevski, Daniel; de la Llave, Rafael
8
2011
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael
8
2022
Resonances and phase locking phenomena for foliation preserving torus maps. Zbl 1515.37060
He, Xiaolong; de la Llave, Rafael
3
2023
KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
14
2022
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael
8
2022
KAM quasi-periodic solutions for the dissipative standard map. Zbl 1494.37043
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
7
2022
Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems. Zbl 1501.37063
Chen, Qinbo; de la Llave, Rafael
6
2022
Efficient and reliable algorithms for the computation of non-twist invariant circles. Zbl 1501.37064
González, Alejandra; Haro, Àlex; de la Llave, Rafael
5
2022
Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction. Zbl 1505.70035
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
5
2022
Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE. Zbl 1508.34076
Yang, Jiaqi; Gimeno, Joan; de la Llave, Rafael
3
2022
Gevrey estimates for asymptotic expansions of tori in weakly dissipative systems. Zbl 1501.37060
Bustamante, Adrián P.; de la Llave, Rafael
1
2022
Melnikov method for non-conservative perturbations of the restricted three-body problem. Zbl 1490.70033
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell
1
2022
The existence of solutions for nonlinear elliptic equations: simple proofs and extensions of a paper by Y. Shi. Zbl 1485.35197
Xu, Xiaodan; de la Llave, Rafael; Wang, Fenfen
1
2022
Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation. Zbl 1495.37052
De La Llave, Rafael; Saprykina, Maria
1
2022
Parameterization method for state-dependent delay perturbation of an ordinary differential equation. Zbl 1482.34193
Yang, Jiaqi; Gimeno, Joan; de la Llave, Rafael
9
2021
Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W. Si and J. Si and extensions. Zbl 1473.37075
Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen
9
2021
High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem. Zbl 1477.70012
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael
7
2021
Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. Zbl 1487.37094
Gimeno, Joan; Yang, Jiaqi; de la Llave, Rafael
4
2021
Lyapunov exponents everywhere and rigidity. Zbl 1486.37019
Pereira Micena, Fernando; de la Llave, Rafael
3
2021
Global effect of non-conservative perturbations on homoclinic orbits. Zbl 1459.37050
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell
3
2021
A general mechanism of diffusion in Hamiltonian systems: qualitative results. Zbl 1437.37072
Gidea, Marian; La Llave, Rafael De; M-Seara, Tere
24
2020
Stable manifolds to bounded solutions in possibly ill-posed PDEs. Zbl 1448.35564
Cheng, Hongyu; de la Llave, Rafael
12
2020
Response solutions to quasi-periodically forced systems, even to possibly ill-posed PDEs, with strong dissipation and any frequency vectors. Zbl 1448.34117
Wang, Fenfen; de la Llave, Rafael
10
2020
Expansions in the delay of quasi-periodic solutions for state dependent delay equations. Zbl 1514.34128
Casal, Alfonso; Corsi, Livia; de la Llave, Rafael
9
2020
Time dependent center manifold in PDEs. Zbl 1452.35043
Cheng, Hongyu; de la Llave, Rafael
5
2020
Existence of whiskered KAM tori of conformally symplectic systems. Zbl 1471.70017
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
4
2020
A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold. Zbl 1454.37054
Gidea, Marian; de la Llave, Rafael; Seara, Tere M.
3
2020
An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108
de la Llave, Rafael; Sire, Yannick
19
2019
Global persistence of Lyapunov subcenter manifolds as spectral submanifolds under dissipative perturbations. Zbl 1473.70033
de la Llave, Rafael; Kogelbauer, Florian
2
2019
Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations. Zbl 1405.37065
Gidea, Marian; de la Llave, Rafael
8
2018
Transition state theory with quasi-periodic forcing. Zbl 1470.37045
Zhang, Lei; de la Llave, Rafael
8
2018
Uniform boundedness of iterates of analytic mappings implies linearization: a simple proof and extensions. Zbl 1402.32018
de la Llave, Rafael
1
2018
A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations. Zbl 1370.65046
Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael
23
2017
Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation. Zbl 1370.65047
Figueras, Jordi-Lluís; de la Llave, Rafael
22
2017
Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification. Zbl 1359.37121
Capiński, Maciej J.; Gidea, Marian; de la Llave, Rafael
22
2017
Response solutions for quasi-periodically forced, dissipative wave equations. Zbl 1516.35036
Calleja, Renato C.; Celletti, Alessandra; Corsi, Livia; de la Llave, Rafael
15
2017
Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. I: Finitely differentiable, hyperbolic case. Zbl 1384.34080
He, Xiaolong; de la Llave, Rafael
15
2017
Perturbations of geodesic flows by recurrent dynamics. Zbl 1362.37116
Gidea, Marian; de la Llave, Rafael
13
2017
Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems. Zbl 1425.70037
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
10
2017
Resonant equilibrium configurations in quasi-periodic media: KAM theory. Zbl 1404.70057
de la Llave, Rafael; Su, Xifeng; Zhang, Lei
5
2017
A continuous family of equilibria in ferromagnetic media are ground states. Zbl 1376.82109
Su, Xifeng; de la Llave, Rafael
4
2017
On the global dynamics of an electroencephalographic mean field model of the neocortex. Zbl 1382.35318
Shirani, Farshad; Haddad, Wassim M.; de la Llave, Rafael
3
2017
Simple proofs and extensions of a result of L. D. Pustylnikov on the nonautonomous Siegel theorem. Zbl 1385.37022
de la Llave, Rafael
1
2017
Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case. Zbl 1407.34094
He, Xiaolong; de la Llave, Rafael
26
2016
Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion. Zbl 1355.37074
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M.
21
2016
Connecting orbits for compact infinite dimensional maps: computer assisted proofs of existence. Zbl 1343.37078
de la Llave, R.; Mireles James, J. D.
12
2016
Resonant equilibrium configurations in quasi-periodic media: perturbative expansions. Zbl 1382.70022
de la Llave, Rafael; Su, Xifeng; Zhang, Lei
8
2016
Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
14
2015
Barriers to transport and mixing in volume-preserving maps with nonzero flux. Zbl 1364.76066
Fox, Adam M.; de la Llave, Rafael
10
2015
KAM tori and whiskered invariant tori for non-autonomous systems. Zbl 1364.37048
Canadell, Marta; de la Llave, Rafael
9
2015
Singularity theory for non-twist KAM tori. Zbl 1343.37043
González-Enríquez, A.; Haro, A.; de la Llave, R.
27
2014
An extension of Greene’s criterion for conformally symplectic systems and a partial justification. Zbl 1341.37031
Calleja, Renato C.; Celletti, Alessandra; Falcolini, Corrado; de la Llave, Rafael
8
2014
Localized stable manifolds for whiskered tori in coupled map lattices with decaying interaction. Zbl 1304.37020
Blazevski, Daniel; de la Llave, Rafael
4
2014
A KAM theory for conformally symplectic systems: efficient algorithms and their validation. Zbl 1345.37078
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
61
2013
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
35
2013
Construction of response functions in forced strongly dissipative systems. Zbl 1339.70040
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
16
2013
Local behavior near quasi-periodic solutions of conformally symplectic systems. Zbl 1274.70040
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
15
2013
The analyticity breakdown for Frenkel-Kontorova models in quasi-periodic media: numerical explorations. Zbl 1266.82014
Blass, Timothy; de la Llave, Rafael
10
2013
Fast iteration of cocycles over rotations and computation of hyperbolic bundles. Zbl 1308.70038
Huguet, Gemma; de la Llave, Rafael; Sire, Yannick
5
2013
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004
Huguet, Gemma; de la Llave, Rafael; Sire, Yannick
32
2012
Parameterization of invariant manifolds by reducibility for volume preserving and symplectic maps. Zbl 1252.32015
de la Llave, Rafael; Mireles James, Jason D.
13
2012
KAM theory for quasi-periodic equilibria in one-dimensional quasi-periodic media. Zbl 1329.70046
Su, Xifeng; de la Llave, Rafael
13
2012
Percival Lagrangian approach to the Aubry-Mather theory. Zbl 1337.70037
Su, Xifeng; de la Llave, Rafael
7
2012
KAM theory for quasi-periodic equilibria in 1D quasi-periodic media. II: Long-range interactions. Zbl 1339.70041
Su, Xifeng; de la Llave, Rafael
5
2012
Invariant manifolds for analytic difference equations. Zbl 1260.39008
de la Llave, Rafael; Lomelí, Héctor E.
4
2012
Tracing KAM tori in presymplectic dynamical systems. Zbl 1327.70014
Alishah, Hassan Najafi; de la Llave, Rafael
4
2012
Local rigidity for Anosov automorphisms. With an appendix by Rafael de la Llave. Zbl 1271.37031
Gogolev, Andrey; Kalinin, Boris; Sadovskaya, Victoria
17
2011
Time-dependent scattering theory for ODEs and applications to reaction dynamics. Zbl 1223.34119
Blazevski, Daniel; de la Llave, Rafael
8
2011
Dynamical systems on lattices with decaying interaction. I: A functional analysis framework. Zbl 1213.37114
Fontich, Ernest; de la Llave, Rafael; Martín, Pau
7
2011
Dynamical systems on lattices with decaying interaction. II: Hyperbolic sets and their invariant manifolds. Zbl 1213.37115
Fontich, Ernest; de la Llave, Rafael; Martín, Pau
6
2011
Differentiability at the tip of Arnold tongues for Diophantine rotations: numerical studies and renormalization group explanations. Zbl 1226.82019
de la Llave, Rafael; Luque, Alejandro
6
2011
Smooth dependence on parameters of solutions to cohomology equations over Anosov systems with applications to cohomology equations on diffeomorphism groups. Zbl 1222.37025
de la Llave, Rafael; Windsor, Alistair
6
2011
Combination laws for scaling exponents and relation to the geometry of renormalization operators. Zbl 1242.82017
de la Llave, Rafael; Olvera, Arturo; Petrov, Nikola P.
3
2011
Perturbation and numerical methods for computing the minimal average energy. Zbl 1262.35019
Blass, Timothy; de la Llave, Rafael
2
2011
A comparison principle for a Sobolev gradient semi-flow. Zbl 1229.35023
Blass, Timothy; de la Llave, Rafael; Valdinoci, Enrico
1
2011
\(L^p\)-bounds for quasi-geostrophic equations via functional analysis. Zbl 1272.35165
de la Llave, Rafael; Valdinoci, Enrico
1
2011
A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification. Zbl 1209.37008
Calleja, Renato; de la Llave, Rafael
36
2010
Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems. Zbl 1230.37042
de la Llave, Rafael; Windsor, Alistair
26
2010
Ground states and critical points for Aubry-Mather theory in Statistical mechanics. Zbl 1196.82095
de la Llave, Rafael; Valdinoci, Enrico
20
2010
Computation of the breakdown of analyticity in statistical mechanics models: Numerical results and a renormalization group explanation. Zbl 1205.82067
Calleja, Renato; de la Llave, Rafael
14
2010
Convergence of differentiable functions on closed sets and remarks on the proofs of the “converse approximation lemmas”. Zbl 1223.26027
Li, Xuemei; de la Llave, Rafael
5
2010
Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
33
2009
A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations. Zbl 1171.35372
de la Llave, Rafael; Valdinoci, Enrico
28
2009
Fast numerical computation of quasi-periodic equilibrium states in 1D statistical mechanics, including twist maps. Zbl 1183.37014
Calleja, Renato; de la Llave, Rafael
24
2009
A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities. Zbl 1179.35340
de la Llave, Rafael
21
2009
Construction of quasi-periodic solutions of delay differential equations via KAM techniques. Zbl 1184.34076
Li, Xuemei; de la Llave, Rafael
19
2009
A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick
16
2009
Symmetry for a Dirichlet-Neumann problem arising in water waves. Zbl 1202.35066
de la Llave, Rafael; Valdinoci, Enrico
13
2009
An application of topological multiple recurrence to tiling. Zbl 1175.37023
de la Llave, Rafael; Windsor, A.
3
2009
Geometric properties of the scattering map of a normally hyperbolic invariant manifold. Zbl 1131.37032
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M.
56
2008
Geometric approaches to the problem of instability in Hamiltonian systems: an informal presentation. Zbl 1144.37022
Delshams, Amadeu; Gidea, Marian; de la Llave, Rafael; Seara, Tere M.
21
2008
Analytic smoothing of geometric maps with applications to KAM theory. Zbl 1160.37024
González-Enríquez, A.; de la Llave, R.
11
2008
KAM theory for equilibrium states in 1-D statistical mechanics models. Zbl 1163.82002
de la Llave, Rafael
10
2008
Boundaries of Siegel disks: numerical studies of their dynamics and regularity. Zbl 1309.37045
de la Llave, Rafael; Petrov, Nikola P.
4
2008
Entropy estimates for a family of expanding maps of the circle. Zbl 1173.37020
de la Llave, Rafael; Shub, Michael; Simó, Carles
1
2008
Renormalization of arbitrary weak noises for one-dimensional critical dynamical systems: summary of results and numerical explorations. Zbl 1153.37022
Díaz-Espinosa, Oliver; de la Llave, Rafael
1
2008
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity. Zbl 1210.37062
Haro, A.; de la Llave, R.
55
2007
Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media. Zbl 1152.35038
de la Llave, Rafael; Valdinoci, Enrico
27
2007
Ground states and critical points for generalized Frenkel-Kontorova models in \(\mathbb Z^d\). Zbl 1206.82026
de la Llave, Rafael; Valdinoci, Enrico
23
2007
The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points. Zbl 1123.37011
Baldomá, Immaculada; Fontich, Ernest; de la Llave, Rafael; Martín, Pau
17
2007
Critical points inside the gaps of ground state laminations for some models in statistical mechanics. Zbl 1132.82010
de la Llave, Rafael; Valdinoci, Enrico
12
2007
A computer-assisted study of global dynamic transitions for a noninvertible system. Zbl 1185.37174
Adomaitis, Raymond A.; Kevrekidis, Ioannis G.; de la Llave, Rafael
7
2007
...and 68 more Documents
all top 5

Cited by 1,247 Authors

105 de la Llave, Rafael
41 Mireles-James, Jason D.
32 Valdinoci, Enrico
28 Lessard, Jean-Philippe
24 Haro, Àlex
22 Celletti, Alessandra
20 Calleja, Renato C.
20 Fontich, Ernest
20 Haller, George
16 Gidea, Marian
16 M-Seara, Tere
15 van den Berg, Jan Bouwe
14 Delshams, Amadeu
14 Meiss, James D.
13 Figueras, Jordi-Lluís
13 Martín, Pau
11 Capinski, Maciej J.
11 Dipierro, Serena
11 Gogolev, Andrey
11 Sadovskaya, Victoria
11 Villanueva, Jordi
10 Braides, Andrea
10 Gentile, Guido
10 Gimeno, Joan
10 Kaloshin, Vadim Yu.
10 Katok, Anatole
10 Koch, Hans-Friedrich
10 Luque, Alejandro
10 Zgliczyński, Piotr
9 Chierchia, Luigi
9 Guardia, Marcel
9 Kalinin, Boris
9 Paternain, Gabriel Pedro
9 Qin, Wenxin
9 Si, Wen
8 Bolotin, Sergeĭ Vladimirovich
8 Chae, Dongho
8 Cicalese, Marco
8 Falcolini, Corrado
8 He, Xiaolong
8 Rabinowitz, Paul Henry
8 Su, Xifeng
8 Wang, Yanan
7 Breden, Maxime
7 Damjanović, Danijela
7 Féjoz, Jacques
7 Jorba, Àngel
7 Li, Xuemei
7 Lieb, Elliott Hershel
7 Simó, Carles
7 Xu, Junxiang
6 Arioli, Gianni
6 Baldomá, Inmaculada
6 Bustamante, Adrián P.
6 Castelli, Roberto
6 Corsi, Livia
6 del-Castillo-Negrete, Diego
6 Guillarmou, Colin
6 Guzzo, Massimiliano
6 Krauskopf, Bernd
6 Lu, Kening
6 Morozov, Al’bert Dmitrievich
6 Morrison, Philip J.
6 Osinga, Hinke Maria
6 Peralta-Salas, Daniel
6 Pollicott, Mark
6 Si, Jianguo
6 Turaev, Dmitry V.
6 Wayne, Clarence Eugene
6 Wiggins, Stephen R.
5 Anderson, Rodney L.
5 Bach, Volker
5 Backes, Lucas H.
5 Biasco, Luca
5 Caffarelli, Luis Ángel
5 Cheng, Chong-Qing
5 Cheng, Hongyu
5 Cozzi, Matteo
5 Enciso, Alberto
5 Forni, Giovanni
5 Gameiro, Marcio F.
5 Huguet, Gemma
5 Kepley, Shane
5 Kim, Panki
5 Li, Yong
5 Mezić, Igor
5 Miao, Xueqing
5 Morozov, Kirill Evgen’evich
5 Novaga, Matteo
5 Obaya, Rafael
5 Panayotaros, Panayotis
5 Qiu, Hua
5 Rodriguez-Hertz, Federico
5 Ruf, Matthias
5 Sevryuk, Mikhail Borisovich
5 Sire, Yannick
5 Solovej, Jan Philip
5 Tompaidis, Stathis
5 Wang, Fenfen
5 Yan, Jun
...and 1,147 more Authors
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Cited in 230 Serials

77 Journal of Differential Equations
66 Physica D
63 Communications in Mathematical Physics
45 SIAM Journal on Applied Dynamical Systems
40 Communications in Nonlinear Science and Numerical Simulation
38 Nonlinearity
38 Ergodic Theory and Dynamical Systems
36 Chaos
34 Discrete and Continuous Dynamical Systems
33 Regular and Chaotic Dynamics
31 Journal of Dynamics and Differential Equations
29 Journal of Nonlinear Science
26 Journal of Statistical Physics
21 Archive for Rational Mechanics and Analysis
19 Journal of Mathematical Physics
19 Celestial Mechanics and Dynamical Astronomy
17 Advances in Mathematics
15 Journal of Functional Analysis
15 Transactions of the American Mathematical Society
14 Mathematische Zeitschrift
12 Proceedings of the American Mathematical Society
12 Calculus of Variations and Partial Differential Equations
12 Qualitative Theory of Dynamical Systems
10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Annales Henri Poincaré
9 Israel Journal of Mathematics
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Chaos, Solitons and Fractals
8 Inventiones Mathematicae
8 Journal of Applied Analysis and Computation
8 Journal of Computational Dynamics
7 Communications on Pure and Applied Mathematics
7 Journal of Mathematical Analysis and Applications
7 Physics Letters. A
7 SIAM Journal on Mathematical Analysis
7 Bulletin of the American Mathematical Society. New Series
7 Indagationes Mathematicae. New Series
7 Experimental Mathematics
7 Nonlinear Dynamics
7 Annals of Mathematics. Second Series
7 Journal of Modern Dynamics
6 Duke Mathematical Journal
6 Mathematische Annalen
6 The Journal of Geometric Analysis
6 Geometric and Functional Analysis. GAFA
6 Discrete and Continuous Dynamical Systems. Series B
6 Science China. Mathematics
5 Memoirs of the American Mathematical Society
5 Interfaces and Free Boundaries
5 Foundations of Computational Mathematics
4 Journal of Computational Physics
4 Annales de l’Institut Fourier
4 Topology and its Applications
4 Communications in Partial Differential Equations
4 Journal of Mathematical Sciences (New York)
4 Journal of Difference Equations and Applications
4 Electronic Research Announcements of the American Mathematical Society
4 Journal of the European Mathematical Society (JEMS)
4 Physical Review Letters
4 Dynamical Systems
4 Communications on Pure and Applied Analysis
4 Advances in Difference Equations
4 Journal de l’École Polytechnique – Mathématiques
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Applicable Analysis
3 Journal d’Analyse Mathématique
3 Journal of Mathematical Biology
3 Acta Mathematica
3 Geometriae Dedicata
3 Journal of Computational and Applied Mathematics
3 Journal of Economic Dynamics & Control
3 Boletim da Sociedade Brasileira de Matemática. Nova Série
3 Journal of Knot Theory and its Ramifications
3 Bulletin des Sciences Mathématiques
3 Journal of Dynamical and Control Systems
3 Communications in Contemporary Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Oberwolfach Reports
3 Proceedings of the Steklov Institute of Mathematics
3 Frontiers of Mathematics in China
3 Discrete and Continuous Dynamical Systems. Series S
3 Analysis & PDE
3 Journal of Function Spaces
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Fluid Mechanics
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 Physics Reports
2 Reviews of Modern Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematics of Computation
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin of the London Mathematical Society
2 Bulletin de la Société Mathématique de France
2 Commentarii Mathematici Helvetici
2 Publications Mathématiques
2 Journal of Approximation Theory
...and 130 more Serials
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Cited in 52 Fields

788 Dynamical systems and ergodic theory (37-XX)
281 Mechanics of particles and systems (70-XX)
263 Partial differential equations (35-XX)
172 Ordinary differential equations (34-XX)
104 Numerical analysis (65-XX)
92 Differential geometry (53-XX)
87 Statistical mechanics, structure of matter (82-XX)
75 Fluid mechanics (76-XX)
59 Global analysis, analysis on manifolds (58-XX)
56 Operator theory (47-XX)
50 Calculus of variations and optimal control; optimization (49-XX)
46 Quantum theory (81-XX)
43 Manifolds and cell complexes (57-XX)
37 Probability theory and stochastic processes (60-XX)
31 Biology and other natural sciences (92-XX)
22 Functional analysis (46-XX)
22 Mechanics of deformable solids (74-XX)
18 Real functions (26-XX)
17 Computer science (68-XX)
14 Topological groups, Lie groups (22-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 General topology (54-XX)
10 Functions of a complex variable (30-XX)
9 Difference and functional equations (39-XX)
8 Convex and discrete geometry (52-XX)
7 General and overarching topics; collections (00-XX)
7 Measure and integration (28-XX)
7 Geophysics (86-XX)
7 Systems theory; control (93-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Optics, electromagnetic theory (78-XX)
5 Number theory (11-XX)
5 Potential theory (31-XX)
5 Approximations and expansions (41-XX)
4 Algebraic geometry (14-XX)
4 Integral equations (45-XX)
4 Algebraic topology (55-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Geometry (51-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Group theory and generalizations (20-XX)
2 Integral transforms, operational calculus (44-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Sequences, series, summability (40-XX)

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