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Author ID: lochak.pierre Recent zbMATH articles by "Lochak, Pierre"
Published as: Lochak, Pierre; Lochak, P.

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 432 times in 343 Documents Cited by Year
Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas. Zbl 0668.34044
Lochak, P.; Meunier, C.
86
1988
Canonical perturbation theory via simultaneous approximation. Zbl 0795.58042
Lochak, P.
66
1992
On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems. Zbl 1038.70001
Lochak, P.; Marco, J.-P.; Sauzin, D.
38
2003
Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573
Lochak, P.; Neĭshtadt, A. I.
31
1992
On the Teichmüller tower of mapping class groups. Zbl 0953.20030
Hatcher, Allen; Lochak, Pierre; Schneps, Leila
29
2000
On arithmetic curves in the moduli spaces of curves. Zbl 1094.14018
Lochak, Pierre
26
2005
Diffusion times and stability exponents for nearly integrable analytic systems. Zbl 1107.37049
Lochak, Pierre; Marco, Jean-Pierre
20
2005
Hamiltonian perturbation theory: Periodic orbits, resonances and intermittency. Zbl 0794.70006
Lochak, P.
17
1993
Geometric Galois actions. 1. Around Grothendieck’s esquisse d’un programme. Proceedings of the conference on geometry and arithmetic of moduli spaces, Luminy, France, August 1995. Zbl 0868.00041
16
1997
Arnold diffusion; a compendium of remarks and questions. Zbl 0986.37054
Lochak, Pierre
12
1999
A cohomological interpretation of the Grothendieck-Teichmüller group. Appendix by C. Scheiderer. Zbl 0883.20016
Lochak, Pierre; Schneps, Leila
9
1997
On the embedding of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\) into \(\widehat{GT}\). (Appendix by Michel Emsalem and Pierre Lochak: The action of the absolute Galois group on the moduli space of spheres with four marked points). Zbl 0849.12005
Ihara, Yasutaka
8
1994
The Grothendieck-Teichmüller group and automorphisms of braid groups. Zbl 0827.20050
Lochak, Pierre; Schneps, Leila
7
1994
Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020
Lochak, P.; Neistadt, A. I.; Niederman, L.
7
1994
Multiphase averaging for generalized flows on manifolds. Zbl 0799.58066
Dumas, H. S.; Golse, F.; Lochak, P.
7
1994
On a new version of the Grothendieck-Teichmüller group. Zbl 0904.20029
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
6
1997
The universal Ptolemy-Teichmüller groupoid. Zbl 0935.20026
Lochak, Pierre; Schneps, Leila
6
1997
Homology of depth-graded motivic Lie algebras and koszulity. Zbl 1414.17012
Enriquez, Benjamin; Lochak, Pierre
6
2016
Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmüller group. Zbl 1079.14032
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
5
2004
Geometric Galois actions. 2. The inverse Galois problem, moduli spaces and mapping class groups. Proceedings of the conference on geometry and arithmetic of moduli spaces, Luminy, France, August 1995. Zbl 0868.00040
5
1997
Results and conjectures in profinite Teichmüller theory. Zbl 1321.11113
Lochak, Pierre
5
2012
Open problems in Grothendieck-Teichmüller theory. Zbl 1222.14046
Lochak, Pierre; Schneps, Leila
4
2006
Moduli spaces of curves, mapping class groups and field theory. Transl. from the French by Leila Schneps. Zbl 1024.32010
Buff, Xavier; Fehrenbach, Jérôme; Lochak, Pierre; Schneps, Leila; Vogel, Pierre
4
2003
Twistless invariant tori in nearly integrable Hamiltonian systems. (Tores invariants à torsion évanescente dans les systèmes hamiltoniens proches de l’intégrable.) Zbl 0917.58011
Lochak, Pierre
3
1998
Divisorial inertia and central elements in braid groups. Zbl 1344.20050
Callegaro, F.; Gaiffi, G.; Lochak, P.
3
2016
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
2
1987
Stability of Hamiltonian systems over exponentially long times: The near- linear case. Zbl 0836.58025
Lochak, Pierre
2
1995
A property of Kovalevskaya exponents of Hamiltonian systems: Painlevé property. (Une propriété des exposants de Kowalevska des systèmes hamiltoniens; critère de Painlevé.) Zbl 0592.58017
Lochak, Pierre
2
1985
About the adiabatic stability of resonant states. Zbl 0529.47021
Lochak, Pierre
1
1983
On the adiabatic stability of solitons and the matching of conservation laws. Zbl 0548.35103
Lochak, Pierre
1
1984
The blow-up of the supercritical nonlinear Schrödinger equation and a class of spectral problems. Zbl 0825.35117
Lochak, Pierre
1
1990
Simultaneous rational approximation of Bruno vectors. (Sur l’approximation rationnelle simultanée des vecteurs de Bruno.) Zbl 0901.11023
Golse, François; Lochak, Pierre
1
1997
Every acyclotomic element of the profinite Grothendieck-Teichmüller group is a twist. Zbl 1389.11139
Lochak, P.; Schneps, L.
1
2015
Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023
Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila
1
2016
Mathematics as metaphor. Selected essays. Translated from the English by Claire Vajou. With a preface by Freeman J. Dyson. With an afterword by Pierre Lochak. (Les mathématiques comme métaphore. Essais choisis.) Zbl 1521.00003
Manin, Yuri I.
1
2021
Fundamental group of algebraic stacks, inertia, and Galois action. (Groupe fondamental des champs algébriques, inertie et action galoisienne.) Zbl 1423.14175
Lochak, Pierre; Vaquié, Michel
1
2018
Profinite completions of Burnside-type quotients of surface groups. Zbl 1404.20021
Funar, Louis; Lochak, Pierre
1
2018
Mathematics as metaphor. Selected essays. Translated from the English by Claire Vajou. With a preface by Freeman J. Dyson. With an afterword by Pierre Lochak. (Les mathématiques comme métaphore. Essais choisis.) Zbl 1521.00003
Manin, Yuri I.
1
2021
Fundamental group of algebraic stacks, inertia, and Galois action. (Groupe fondamental des champs algébriques, inertie et action galoisienne.) Zbl 1423.14175
Lochak, Pierre; Vaquié, Michel
1
2018
Profinite completions of Burnside-type quotients of surface groups. Zbl 1404.20021
Funar, Louis; Lochak, Pierre
1
2018
Homology of depth-graded motivic Lie algebras and koszulity. Zbl 1414.17012
Enriquez, Benjamin; Lochak, Pierre
6
2016
Divisorial inertia and central elements in braid groups. Zbl 1344.20050
Callegaro, F.; Gaiffi, G.; Lochak, P.
3
2016
Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023
Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila
1
2016
Every acyclotomic element of the profinite Grothendieck-Teichmüller group is a twist. Zbl 1389.11139
Lochak, P.; Schneps, L.
1
2015
Results and conjectures in profinite Teichmüller theory. Zbl 1321.11113
Lochak, Pierre
5
2012
Open problems in Grothendieck-Teichmüller theory. Zbl 1222.14046
Lochak, Pierre; Schneps, Leila
4
2006
On arithmetic curves in the moduli spaces of curves. Zbl 1094.14018
Lochak, Pierre
26
2005
Diffusion times and stability exponents for nearly integrable analytic systems. Zbl 1107.37049
Lochak, Pierre; Marco, Jean-Pierre
20
2005
Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmüller group. Zbl 1079.14032
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
5
2004
On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems. Zbl 1038.70001
Lochak, P.; Marco, J.-P.; Sauzin, D.
38
2003
Moduli spaces of curves, mapping class groups and field theory. Transl. from the French by Leila Schneps. Zbl 1024.32010
Buff, Xavier; Fehrenbach, Jérôme; Lochak, Pierre; Schneps, Leila; Vogel, Pierre
4
2003
On the Teichmüller tower of mapping class groups. Zbl 0953.20030
Hatcher, Allen; Lochak, Pierre; Schneps, Leila
29
2000
Arnold diffusion; a compendium of remarks and questions. Zbl 0986.37054
Lochak, Pierre
12
1999
Twistless invariant tori in nearly integrable Hamiltonian systems. (Tores invariants à torsion évanescente dans les systèmes hamiltoniens proches de l’intégrable.) Zbl 0917.58011
Lochak, Pierre
3
1998
Geometric Galois actions. 1. Around Grothendieck’s esquisse d’un programme. Proceedings of the conference on geometry and arithmetic of moduli spaces, Luminy, France, August 1995. Zbl 0868.00041
16
1997
A cohomological interpretation of the Grothendieck-Teichmüller group. Appendix by C. Scheiderer. Zbl 0883.20016
Lochak, Pierre; Schneps, Leila
9
1997
On a new version of the Grothendieck-Teichmüller group. Zbl 0904.20029
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
6
1997
The universal Ptolemy-Teichmüller groupoid. Zbl 0935.20026
Lochak, Pierre; Schneps, Leila
6
1997
Geometric Galois actions. 2. The inverse Galois problem, moduli spaces and mapping class groups. Proceedings of the conference on geometry and arithmetic of moduli spaces, Luminy, France, August 1995. Zbl 0868.00040
5
1997
Simultaneous rational approximation of Bruno vectors. (Sur l’approximation rationnelle simultanée des vecteurs de Bruno.) Zbl 0901.11023
Golse, François; Lochak, Pierre
1
1997
Stability of Hamiltonian systems over exponentially long times: The near- linear case. Zbl 0836.58025
Lochak, Pierre
2
1995
On the embedding of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\) into \(\widehat{GT}\). (Appendix by Michel Emsalem and Pierre Lochak: The action of the absolute Galois group on the moduli space of spheres with four marked points). Zbl 0849.12005
Ihara, Yasutaka
8
1994
The Grothendieck-Teichmüller group and automorphisms of braid groups. Zbl 0827.20050
Lochak, Pierre; Schneps, Leila
7
1994
Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020
Lochak, P.; Neistadt, A. I.; Niederman, L.
7
1994
Multiphase averaging for generalized flows on manifolds. Zbl 0799.58066
Dumas, H. S.; Golse, F.; Lochak, P.
7
1994
Hamiltonian perturbation theory: Periodic orbits, resonances and intermittency. Zbl 0794.70006
Lochak, P.
17
1993
Canonical perturbation theory via simultaneous approximation. Zbl 0795.58042
Lochak, P.
66
1992
Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573
Lochak, P.; Neĭshtadt, A. I.
31
1992
The blow-up of the supercritical nonlinear Schrödinger equation and a class of spectral problems. Zbl 0825.35117
Lochak, Pierre
1
1990
Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas. Zbl 0668.34044
Lochak, P.; Meunier, C.
86
1988
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
2
1987
A property of Kovalevskaya exponents of Hamiltonian systems: Painlevé property. (Une propriété des exposants de Kowalevska des systèmes hamiltoniens; critère de Painlevé.) Zbl 0592.58017
Lochak, Pierre
2
1985
On the adiabatic stability of solitons and the matching of conservation laws. Zbl 0548.35103
Lochak, Pierre
1
1984
About the adiabatic stability of resonant states. Zbl 0529.47021
Lochak, Pierre
1
1983
all top 5

Cited by 396 Authors

11 Bounemoura, Abed Bounemoura
11 Delshams, Amadeu
9 Guzzo, Massimiliano
8 Marco, Jean-Pierre
8 Meiss, James D.
8 M-Seara, Tere
7 Dumas, H. Scott
7 Niederman, Laurent
6 de la Llave, Rafael
6 Gidea, Marian
6 Gutiérrez, Pere
5 Funar, Louis
5 Sauzin, David
5 Wiggins, Stephen R.
4 Bambusi, Dario
4 Chartier, Philippe
4 Collas, Benjamin
4 Fontich, Ernest
4 Furusho, Hidekazu
4 Llibre, Jaume
4 McMullen, Curtis Tracy
4 Möller, Martin
4 Morbidelli, Alessandro
4 Zhang, Ke
3 Bergman, Lawrence A.
3 Bernard, Patrick
3 Brock, Jeffrey F.
3 Chierchia, Luigi
3 Cong, Fuzhong
3 Efthymiopoulos, Christos
3 Ellison, James A.
3 Enriquez, Benjamin
3 Gaiffi, Giovanni
3 Gelfreich, Vassili
3 Giorgilli, Antonio
3 Gonchenko, Marina S.
3 Grammel, Götz
3 Guardia, Marcel
3 Huang, Guan
3 Kaloshin, Vadim Yu.
3 Kuksin, Sergeĭ B.
3 Lee, Young Sup
3 Li, Jiangtao
3 Lochak, Pierre
3 Mcfarland, D. Michael
3 Méhats, Florian
3 Murua, Ander
3 Nakamura, Hiroaki
3 Palacián, Jesús F.
3 Schneps, Leila
3 Schweigert, Christoph
3 Simó, Carles
3 Vakakis, Alexander F.
3 Vieiro, Arturo
3 Yanguas, Patricia
2 Aramayona, Javier
2 Artstein, Zvi
2 Barbieri, Santiago
2 Ben Abdallah, Naoufel
2 Benettin, Giancarlo
2 Benvenuti, Silvia
2 Berti, Massimiliano
2 Bolle, Philippe
2 Burby, Joshua W.
2 Capinski, Maciej J.
2 Cárcamo-Díaz, Daniela
2 Castella, François
2 Chen, Qinbo
2 Chen, William Yun
2 Cheng, Chong-Qing
2 Cincotta, Pablo M.
2 Clarkson, Peter A.
2 Cresson, Jacky
2 De Concini, Corrado
2 Elguedj, Thomas
2 Fassò, Francesco
2 Fayad, Bassam R.
2 Fischler, Stéphane
2 Freidlin, Mark I.
2 Froeschlé, Claude
2 Galimberti, Luca
2 Gravouil, Anthony
2 Haller, George
2 Henrici, Andreas
2 Hidalgo, Rubén Antonio
2 Hirvijoki, Eero
2 Hong, Jialin
2 Horel, Geoffroy
2 Kapoudjian, Christophe
2 Karlsen, Kenneth Hvistendahl
2 Kolmanovsky, Ilya V.
2 Komleva, Tatyana A.
2 Laskar, Jacques
2 Lega, Elena
2 Luo, Dejun
2 MacKay, Robert Sinclair
2 Margalit, Dan
2 Marmi, Stefano
2 Martín, Pau
2 Massetti, Jessica Elisa
...and 296 more Authors
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Cited in 139 Serials

25 Physica D
16 Regular and Chaotic Dynamics
13 Journal of Differential Equations
12 Communications in Mathematical Physics
10 Celestial Mechanics and Dynamical Astronomy
9 Nonlinearity
9 Advances in Mathematics
7 Journal of Nonlinear Science
6 Annales de l’Institut Fourier
6 Geometriae Dedicata
6 Topology and its Applications
6 Discrete and Continuous Dynamical Systems
5 Inventiones Mathematicae
5 Mathematische Nachrichten
4 Journal of Mathematical Physics
4 Journal of Statistical Physics
4 Duke Mathematical Journal
4 Ergodic Theory and Dynamical Systems
4 Journal of the American Mathematical Society
4 Geometric and Functional Analysis. GAFA
4 Stochastic Processes and their Applications
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Journal of Mathematical Sciences (New York)
4 Discrete and Continuous Dynamical Systems. Series B
3 Physics Letters. A
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 European Journal of Combinatorics
3 Bulletin of the American Mathematical Society. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Geometry & Topology
3 Chaos
3 Annals of Mathematics. Second Series
3 Qualitative Theory of Dynamical Systems
3 Foundations of Computational Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computer Methods in Applied Mechanics and Engineering
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Chaos, Solitons and Fractals
2 Journal of Geometry and Physics
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
2 Commentarii Mathematici Helvetici
2 Journal of Number Theory
2 Manuscripta Mathematica
2 Memoirs of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of Dynamics and Differential Equations
2 Nonlinear Dynamics
2 Mathematical Physics, Analysis and Geometry
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Dynamical and Control Systems
2 Journal of High Energy Physics
2 International Journal of Number Theory
2 Journal of Homotopy and Related Structures
1 Communications on Pure and Applied Mathematics
1 European Journal of Physics
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Physics Reports
1 Russian Mathematical Surveys
1 Wave Motion
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Journal of Algebra
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Meccanica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Studies in Applied Mathematics
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematical and Computer Modelling
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 European Journal of Applied Mathematics
1 Signal Processing
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Annals of Physics
...and 39 more Serials
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Cited in 42 Fields

168 Dynamical systems and ergodic theory (37-XX)
109 Mechanics of particles and systems (70-XX)
57 Ordinary differential equations (34-XX)
54 Algebraic geometry (14-XX)
29 Group theory and generalizations (20-XX)
28 Several complex variables and analytic spaces (32-XX)
27 Number theory (11-XX)
26 Manifolds and cell complexes (57-XX)
23 Partial differential equations (35-XX)
20 Functions of a complex variable (30-XX)
16 Quantum theory (81-XX)
15 Differential geometry (53-XX)
12 Probability theory and stochastic processes (60-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Combinatorics (05-XX)
9 Numerical analysis (65-XX)
6 Systems theory; control (93-XX)
5 Associative rings and algebras (16-XX)
5 Nonassociative rings and algebras (17-XX)
5 Category theory; homological algebra (18-XX)
5 Fluid mechanics (76-XX)
4 Topological groups, Lie groups (22-XX)
4 Algebraic topology (55-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Mechanics of deformable solids (74-XX)
3 General and overarching topics; collections (00-XX)
3 Field theory and polynomials (12-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
2 Information and communication theory, circuits (94-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Integral equations (45-XX)
1 Computer science (68-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year