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Paternain, Gabriel Pedro

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Author ID: paternain.gabriel-p Recent zbMATH articles by "Paternain, Gabriel Pedro"
Published as: Paternain, Gabriel P.; Paternain, G. P.; Patermain, Gabriel P.; Paternain, Gabriel
External Links: MGP · Wikidata · GND
Documents Indexed: 96 Publications since 1991, including 1 Book
Co-Authors: 39 Co-Authors with 73 Joint Publications
658 Co-Co-Authors
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Serials

6 Ergodic Theory and Dynamical Systems
5 Communications in Mathematical Physics
4 Nonlinearity
3 Commentarii Mathematici Helvetici
3 Inventiones Mathematicae
3 Journal of Differential Geometry
3 Proceedings of the American Mathematical Society
3 Mathematical Research Letters
2 Communications on Pure and Applied Mathematics
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 The Annals of Statistics
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 IMRN. International Mathematics Research Notices
2 The Journal of Geometric Analysis
2 Geometric and Functional Analysis. GAFA
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Discrete and Continuous Dynamical Systems
2 Journal of the European Mathematical Society (JEMS)
2 Analysis & PDE
1 Houston Journal of Mathematics
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
1 American Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Geometriae Dedicata
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Topology
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Annals of Global Analysis and Geometry
1 International Journal of Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Calculus of Variations and Partial Differential Equations
1 NoDEA. Nonlinear Differential Equations and Applications
1 Matemática Contemporânea
1 Geometry & Topology
1 Annales Henri Poincaré
1 Algebraic & Geometric Topology
1 Moscow Mathematical Journal
1 Bulletin of the Brazilian Mathematical Society. New Series
1 The Journal of Symplectic Geometry
1 Progress in Mathematics
1 Journal of Fixed Point Theory and Applications
1 Journal of Modern Dynamics
1 Journal of Topology and Analysis
1 Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 917 times in 496 Documents Cited by Year
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
71
1998
Geodesic flows. Zbl 0930.53001
Paternain, Gabriel P.
64
1999
Periodic orbits for exact magnetic flows on surfaces. Zbl 1086.37032
Contreras, Gonzalo; Macarini, Leonardo; Paternain, Gabriel P.
42
2004
Tensor tomography on surfaces. Zbl 1275.53067
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
41
2013
Symplectic topology of Mañé’s critical values. Zbl 1239.53110
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
34
2010
The boundary rigidity problem in the presence of a magnetic field. Zbl 1131.53047
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen; Uhlmann, Gunther
32
2007
Tensor tomography: progress and challenges. Zbl 1303.92053
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
29
2014
Contact geometry of the restricted three-body problem. Zbl 1300.70006
Albers, Peter; Frauenfelder, Urs; van Koert, Otto; Paternain, Gabriel P.
28
2012
Minimal entropy and collapsing with curvature bounded from below. Zbl 1049.53029
Paternain, Gabriel P.; Petean, Jimmy
25
2003
Connecting orbits between static classes for generic Lagrangian systems. Zbl 1047.37042
Contreras, Gonzalo; Paternain, Gabriel P.
23
2002
The attenuated ray transform for connections and Higgs fields. Zbl 1256.53021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
23
2012
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions. Zbl 1328.53099
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
22
2015
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
21
2003
Anosov magnetic flows, critical values and topological entropy. Zbl 1161.37337
Burns, Keith; Paternain, Gabriel P.
19
2002
Efficient nonparametric Bayesian inference for \(X\)-ray transforms. Zbl 1417.62060
Monard, François; Nickl, Richard; Paternain, Gabriel P.
19
2019
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. Zbl 1364.37132
Abbondandolo, Alberto; Macarini, Leonardo; Mazzucchelli, Marco; Paternain, Gabriel P.
18
2017
Magnetic rigidity of horocycle flows. Zbl 1116.37020
Paternain, Gabriel P.
18
2006
On the existence of three closed magnetic geodesics for subcritical energies. Zbl 1316.53042
Abbondandolo, Alberto; Macarini, Leonardo; Paternain, Gabriel P.
17
2015
Dynamically convex Finsler metrics and \(J\)-holomorphic embedding of asymptotic cylinders. Zbl 1149.53045
Harris, Adam; Paternain, Gabriel P.
17
2008
The geodesic X-ray transform with matrix weights. Zbl 1440.53083
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Günther; Zhou, Hanming
17
2019
The Palais-Smale condition and Mañé’s critical values. Zbl 0986.58005
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
15
2000
Inverse problems for the connection Laplacian. Zbl 1415.53024
Kurylev, Yaroslav; Oksanen, Lauri; Paternain, Gabriel P.
15
2018
Critical values of autonomous Lagrangian systems. Zbl 0921.58017
Paternain, Gabriel P.; Paternain, Miguel
14
1997
Genericity of geodesic flows with positive topological entropy on \(S^2\). Zbl 1048.53061
Contreras-Barandiarán, Gonzalo; Paternain, Gabriel P.
14
2002
Spectral rigidity and invariant distributions on Anosov surfaces. Zbl 1304.37021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
13
2014
On the topology of manifolds with completely integrable geodesic flows. Zbl 0735.58028
Paternain, Gabriel P.
13
1992
Anosov geodesic flows and twisted symplectic structures. Zbl 0868.58062
Paternain, Gabriel P.; Paternain, Miguel
11
1996
The X-ray transform for connections in negative curvature. Zbl 1343.53078
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
11
2016
On the range of the attenuated ray transform for unitary connections. Zbl 1369.44003
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
10
2015
Zero entropy and bounded topology. Zbl 1093.53090
Paternain, Gabriel P.; Petean, Jimmy
10
2006
Entropy and completely integrable Hamiltonian systems. Zbl 0738.58023
Paternain, Gabriel
9
1991
Entropy and collapsing of compact complex surfaces. Zbl 1081.53073
Paternain, Gabriel P.; Petean, Jimmy
9
2004
Entropy production in Gaussian thermostats. Zbl 1113.37013
Dairbekov, Nurlan S.; Paternain, Gabriel P.
8
2007
On Anosov energy levels of convex Hamiltonian systems. Zbl 0820.58022
Paternain, Gabriel P.; Paternain, Miguel
7
1994
On the topology of manifolds with completely integrable geodesic flows. II. Zbl 0801.58037
Paternain, Gabriel P.
7
1994
Transparent connections over negatively curved surfaces. Zbl 1185.53024
Paternain, Gabriel P.
7
2009
Rigidity properties of Anosov optical hypersurfaces. Zbl 1144.53097
Dairbekov, Nurlan S.; Paternain, Gabriel P.
6
2008
Invariant distributions and the geodesic ray transform. Zbl 1357.53088
Paternain, Gabriel P.; Zhou, Hanming
6
2016
First derivative of topological entropy for Anosov geodesic flows in the presence of magnetic fields. Zbl 0907.58053
Patermain, Gabriel P.; Paternain, Miguel
6
1997
New examples of manifolds with completely integrable geodesic flows. Zbl 0830.53026
Paternain, G. P.; Spatzier, R. J.
6
1994
The asymptotic Maslov index and its applications. Zbl 1052.53055
Contreras, Gonzalo; Gambaudo, Jean-Marc; Iturriaga, Renato; Paternain, Gabriel P.
6
2003
Conformal great circle flows on the 3-sphere. Zbl 1346.53070
Harris, Adam; Paternain, Gabriel P.
5
2016
Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023
Butler, Leo T.; Paternain, Gabriel P.
5
2008
Floer homology for magnetic fields with at most linear growth on the universal cover. Zbl 1248.53071
Frauenfelder, Urs; Merry, Will J.; Paternain, Gabriel P.
5
2012
Helicity and the Mañé critical value. Zbl 1181.53035
Paternain, Gabriel P.
5
2009
Equivariant symplectic homology of Anosov contact structures. Zbl 1262.53081
Macarini, Leonardo; Paternain, Gabriel P.
5
2012
On the cohomological equation of magnetic flows. Zbl 1196.37079
Dairbekov, N. S.; Paternain, G. P.
5
2008
Longgitudinal KAM-cocycles and action spectra of magnetic flows. Zbl 1089.37041
Dairbekov, Nurlan S.; Paternain, Gabriel P.
5
2005
Schrödinger operators with magnetic fields and minimal action functionals. Zbl 0997.37042
Paternain, Gabriel P.
4
2001
Inverse problems for connections. Zbl 1316.53022
Paternain, Gabriel P.
4
2013
Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds. Zbl 0885.58065
Paternain, Gabriel P.
4
1997
On the regularity of the Anosov splitting for twisted geodesic flows. Zbl 0901.58017
Paternain, Gabriel P.
4
1997
Finsler structures on surfaces with negative Euler characteristic. Zbl 0896.53046
Paternain, Gabriel P.
4
1997
Multiplicity two actions and loop space homology. Zbl 0781.58006
Paternain, Gabriel P.
4
1993
On the injectivity of the X-ray transform for Anosov thermostats. Zbl 1161.37315
Jane, Dan; Paternain, Gabriel P.
4
2009
On the stability of Mañé critical hypersurfaces. Zbl 1206.37030
Macarini, Leonardo; Paternain, Gabriel P.
4
2010
Consistent inversion of noisy non-abelian X-ray transforms. Zbl 07363259
Monard, François; Nickl, Richard; Paternain, Gabriel P.
4
2021
Floer homology for non-resonant magnetic fields on flat tori. Zbl 1318.53099
Frauenfelder, Urs; Merry, Will J.; Paternain, Gabriel P.
3
2015
Bäcklund transformations for transparent connections. Zbl 1234.37050
Paternain, Gabriel P.
3
2011
Index computations in Rabinowitz Floer homology. Zbl 1242.37012
Merry, Will J.; Paternain, Gabriel P.
3
2011
On the growth of the number of geodesics joining two points. Zbl 0873.53028
Burns, Keith; Paternain, Gabriel P.
3
1996
On two noteworthy deformations of negatively curved Riemannian metrics. Zbl 0983.37035
Paternain, Gabriel P.
3
1999
Regularity of weak foliations for thermostats. Zbl 1120.37018
Paternain, Gabriel P.
3
2007
Collapsing manifolds obtained by Kummer-type constructions. Zbl 1171.53031
Paternain, Gabriel P.; Petean, Jimmy
3
2009
Symplectic and contact properties of the Mañé critical value of the universal cover. Zbl 1325.37037
Paternain, Gabriel P.; Sorrentino, Alfonso
3
2014
Functions of constant geodesic x-ray transform. Zbl 1428.35625
Ilmavirta, Joonas; Paternain, Gabriel P.
3
2019
Expansivity for optical Hamiltonian systems with two degrees of freedom. Zbl 0790.58030
Paternain, Gabriel P.; Paternain, Miguel
2
1993
Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows. Zbl 0889.58060
Burns, Keith; Paternain, Gabriel P.
2
1997
Topological pressure for geodesic flows. Zbl 0963.37026
Paternain, Gabriel P.
2
2000
Differentiable structures with zero entropy on simply connected 4-manifolds. Zbl 1161.53340
Paternain, Gabriel P.
2
2000
Real analytic convex surfaces with positive topological entropy and rigid body dynamics. Zbl 0791.58073
Paternain, Gabriel P.
2
1993
Topological entropy versus geodesic entropy. Zbl 0807.54021
Paternain, Gabriel P.; Paternain, Miguel
2
1994
Stability is not open. Zbl 1235.53089
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
2
2010
Collective geodesic flows. Zbl 1066.53135
Butler, Léo T.; Paternain, Gabriel P.
2
2003
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 07221197
Mettler, Thomas; Paternain, Gabriel P.
2
2020
Stability of Anosov Hamiltonian structures. Zbl 1206.53081
Merry, Will J.; Paternain, Gabriel P.
2
2010
The longitudinal KAM-cocycle of a magnetic flow. Zbl 1088.37012
Paternain, Gabriel P.
2
2005
Transparent pairs. Zbl 1260.53057
Paternain, Gabriel P.
2
2012
On the growth rate of leaf-wise intersections. Zbl 1266.53076
Macarini, Leonardo; Merry, Will J.; Paternain, Gabriel P.
2
2012
Lens rigidity for a particle in a Yang-Mills field. Zbl 1415.53011
Paternain, Gabriel P.; Uhlmann, Gunther; Zhou, Hanming
2
2019
Inverse problem for the Yang-Mills equations. Zbl 1468.78005
Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P.
2
2021
On Anosov energy levels of Hamiltonians on twisted cotangent bundles. Zbl 0829.58018
Paternain, Gabriel P.
1
1994
Entropy production in thermostats. II. Zbl 1115.37020
Dairbekov, Nurlan S.; Paternain, Gabriel P.
1
2007
Holomorphic differentials, thermostats and Anosov flows. Zbl 1415.53051
Mettler, Thomas; Paternain, Gabriel P.
1
2019
The minimal entropy problem for 3-manifolds with zero simplicial volume. Zbl 1056.53054
Anderson, James W.; Paternain, Gabriel P.
1
2003
Resonant spaces for volume-preserving Anosov flows. Zbl 1467.37031
Cekić, Mihajlo; Paternain, Gabriel P.
1
2020
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors. Zbl 07470036
Monard, François; Nickl, Richard; Paternain, Gabriel P.
1
2021
Consistent inversion of noisy non-abelian X-ray transforms. Zbl 07363259
Monard, François; Nickl, Richard; Paternain, Gabriel P.
4
2021
Inverse problem for the Yang-Mills equations. Zbl 1468.78005
Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P.
2
2021
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors. Zbl 07470036
Monard, François; Nickl, Richard; Paternain, Gabriel P.
1
2021
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 07221197
Mettler, Thomas; Paternain, Gabriel P.
2
2020
Resonant spaces for volume-preserving Anosov flows. Zbl 1467.37031
Cekić, Mihajlo; Paternain, Gabriel P.
1
2020
Efficient nonparametric Bayesian inference for \(X\)-ray transforms. Zbl 1417.62060
Monard, François; Nickl, Richard; Paternain, Gabriel P.
19
2019
The geodesic X-ray transform with matrix weights. Zbl 1440.53083
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Günther; Zhou, Hanming
17
2019
Functions of constant geodesic x-ray transform. Zbl 1428.35625
Ilmavirta, Joonas; Paternain, Gabriel P.
3
2019
Lens rigidity for a particle in a Yang-Mills field. Zbl 1415.53011
Paternain, Gabriel P.; Uhlmann, Gunther; Zhou, Hanming
2
2019
Holomorphic differentials, thermostats and Anosov flows. Zbl 1415.53051
Mettler, Thomas; Paternain, Gabriel P.
1
2019
Inverse problems for the connection Laplacian. Zbl 1415.53024
Kurylev, Yaroslav; Oksanen, Lauri; Paternain, Gabriel P.
15
2018
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. Zbl 1364.37132
Abbondandolo, Alberto; Macarini, Leonardo; Mazzucchelli, Marco; Paternain, Gabriel P.
18
2017
The X-ray transform for connections in negative curvature. Zbl 1343.53078
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
11
2016
Invariant distributions and the geodesic ray transform. Zbl 1357.53088
Paternain, Gabriel P.; Zhou, Hanming
6
2016
Conformal great circle flows on the 3-sphere. Zbl 1346.53070
Harris, Adam; Paternain, Gabriel P.
5
2016
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions. Zbl 1328.53099
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
22
2015
On the existence of three closed magnetic geodesics for subcritical energies. Zbl 1316.53042
Abbondandolo, Alberto; Macarini, Leonardo; Paternain, Gabriel P.
17
2015
On the range of the attenuated ray transform for unitary connections. Zbl 1369.44003
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
10
2015
Floer homology for non-resonant magnetic fields on flat tori. Zbl 1318.53099
Frauenfelder, Urs; Merry, Will J.; Paternain, Gabriel P.
3
2015
Tensor tomography: progress and challenges. Zbl 1303.92053
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
29
2014
Spectral rigidity and invariant distributions on Anosov surfaces. Zbl 1304.37021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
13
2014
Symplectic and contact properties of the Mañé critical value of the universal cover. Zbl 1325.37037
Paternain, Gabriel P.; Sorrentino, Alfonso
3
2014
Tensor tomography on surfaces. Zbl 1275.53067
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
41
2013
Inverse problems for connections. Zbl 1316.53022
Paternain, Gabriel P.
4
2013
Contact geometry of the restricted three-body problem. Zbl 1300.70006
Albers, Peter; Frauenfelder, Urs; van Koert, Otto; Paternain, Gabriel P.
28
2012
The attenuated ray transform for connections and Higgs fields. Zbl 1256.53021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
23
2012
Floer homology for magnetic fields with at most linear growth on the universal cover. Zbl 1248.53071
Frauenfelder, Urs; Merry, Will J.; Paternain, Gabriel P.
5
2012
Equivariant symplectic homology of Anosov contact structures. Zbl 1262.53081
Macarini, Leonardo; Paternain, Gabriel P.
5
2012
Transparent pairs. Zbl 1260.53057
Paternain, Gabriel P.
2
2012
On the growth rate of leaf-wise intersections. Zbl 1266.53076
Macarini, Leonardo; Merry, Will J.; Paternain, Gabriel P.
2
2012
Bäcklund transformations for transparent connections. Zbl 1234.37050
Paternain, Gabriel P.
3
2011
Index computations in Rabinowitz Floer homology. Zbl 1242.37012
Merry, Will J.; Paternain, Gabriel P.
3
2011
Symplectic topology of Mañé’s critical values. Zbl 1239.53110
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
34
2010
On the stability of Mañé critical hypersurfaces. Zbl 1206.37030
Macarini, Leonardo; Paternain, Gabriel P.
4
2010
Stability is not open. Zbl 1235.53089
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
2
2010
Stability of Anosov Hamiltonian structures. Zbl 1206.53081
Merry, Will J.; Paternain, Gabriel P.
2
2010
Transparent connections over negatively curved surfaces. Zbl 1185.53024
Paternain, Gabriel P.
7
2009
Helicity and the Mañé critical value. Zbl 1181.53035
Paternain, Gabriel P.
5
2009
On the injectivity of the X-ray transform for Anosov thermostats. Zbl 1161.37315
Jane, Dan; Paternain, Gabriel P.
4
2009
Collapsing manifolds obtained by Kummer-type constructions. Zbl 1171.53031
Paternain, Gabriel P.; Petean, Jimmy
3
2009
Dynamically convex Finsler metrics and \(J\)-holomorphic embedding of asymptotic cylinders. Zbl 1149.53045
Harris, Adam; Paternain, Gabriel P.
17
2008
Rigidity properties of Anosov optical hypersurfaces. Zbl 1144.53097
Dairbekov, Nurlan S.; Paternain, Gabriel P.
6
2008
Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023
Butler, Leo T.; Paternain, Gabriel P.
5
2008
On the cohomological equation of magnetic flows. Zbl 1196.37079
Dairbekov, N. S.; Paternain, G. P.
5
2008
The boundary rigidity problem in the presence of a magnetic field. Zbl 1131.53047
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen; Uhlmann, Gunther
32
2007
Entropy production in Gaussian thermostats. Zbl 1113.37013
Dairbekov, Nurlan S.; Paternain, Gabriel P.
8
2007
Regularity of weak foliations for thermostats. Zbl 1120.37018
Paternain, Gabriel P.
3
2007
Entropy production in thermostats. II. Zbl 1115.37020
Dairbekov, Nurlan S.; Paternain, Gabriel P.
1
2007
Magnetic rigidity of horocycle flows. Zbl 1116.37020
Paternain, Gabriel P.
18
2006
Zero entropy and bounded topology. Zbl 1093.53090
Paternain, Gabriel P.; Petean, Jimmy
10
2006
Longgitudinal KAM-cocycles and action spectra of magnetic flows. Zbl 1089.37041
Dairbekov, Nurlan S.; Paternain, Gabriel P.
5
2005
The longitudinal KAM-cocycle of a magnetic flow. Zbl 1088.37012
Paternain, Gabriel P.
2
2005
Periodic orbits for exact magnetic flows on surfaces. Zbl 1086.37032
Contreras, Gonzalo; Macarini, Leonardo; Paternain, Gabriel P.
42
2004
Entropy and collapsing of compact complex surfaces. Zbl 1081.53073
Paternain, Gabriel P.; Petean, Jimmy
9
2004
Minimal entropy and collapsing with curvature bounded from below. Zbl 1049.53029
Paternain, Gabriel P.; Petean, Jimmy
25
2003
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
21
2003
The asymptotic Maslov index and its applications. Zbl 1052.53055
Contreras, Gonzalo; Gambaudo, Jean-Marc; Iturriaga, Renato; Paternain, Gabriel P.
6
2003
Collective geodesic flows. Zbl 1066.53135
Butler, Léo T.; Paternain, Gabriel P.
2
2003
The minimal entropy problem for 3-manifolds with zero simplicial volume. Zbl 1056.53054
Anderson, James W.; Paternain, Gabriel P.
1
2003
Connecting orbits between static classes for generic Lagrangian systems. Zbl 1047.37042
Contreras, Gonzalo; Paternain, Gabriel P.
23
2002
Anosov magnetic flows, critical values and topological entropy. Zbl 1161.37337
Burns, Keith; Paternain, Gabriel P.
19
2002
Genericity of geodesic flows with positive topological entropy on \(S^2\). Zbl 1048.53061
Contreras-Barandiarán, Gonzalo; Paternain, Gabriel P.
14
2002
Schrödinger operators with magnetic fields and minimal action functionals. Zbl 0997.37042
Paternain, Gabriel P.
4
2001
The Palais-Smale condition and Mañé’s critical values. Zbl 0986.58005
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
15
2000
Topological pressure for geodesic flows. Zbl 0963.37026
Paternain, Gabriel P.
2
2000
Differentiable structures with zero entropy on simply connected 4-manifolds. Zbl 1161.53340
Paternain, Gabriel P.
2
2000
Geodesic flows. Zbl 0930.53001
Paternain, Gabriel P.
64
1999
On two noteworthy deformations of negatively curved Riemannian metrics. Zbl 0983.37035
Paternain, Gabriel P.
3
1999
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
71
1998
Critical values of autonomous Lagrangian systems. Zbl 0921.58017
Paternain, Gabriel P.; Paternain, Miguel
14
1997
First derivative of topological entropy for Anosov geodesic flows in the presence of magnetic fields. Zbl 0907.58053
Patermain, Gabriel P.; Paternain, Miguel
6
1997
Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds. Zbl 0885.58065
Paternain, Gabriel P.
4
1997
On the regularity of the Anosov splitting for twisted geodesic flows. Zbl 0901.58017
Paternain, Gabriel P.
4
1997
Finsler structures on surfaces with negative Euler characteristic. Zbl 0896.53046
Paternain, Gabriel P.
4
1997
Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows. Zbl 0889.58060
Burns, Keith; Paternain, Gabriel P.
2
1997
Anosov geodesic flows and twisted symplectic structures. Zbl 0868.58062
Paternain, Gabriel P.; Paternain, Miguel
11
1996
On the growth of the number of geodesics joining two points. Zbl 0873.53028
Burns, Keith; Paternain, Gabriel P.
3
1996
On Anosov energy levels of convex Hamiltonian systems. Zbl 0820.58022
Paternain, Gabriel P.; Paternain, Miguel
7
1994
On the topology of manifolds with completely integrable geodesic flows. II. Zbl 0801.58037
Paternain, Gabriel P.
7
1994
New examples of manifolds with completely integrable geodesic flows. Zbl 0830.53026
Paternain, G. P.; Spatzier, R. J.
6
1994
Topological entropy versus geodesic entropy. Zbl 0807.54021
Paternain, Gabriel P.; Paternain, Miguel
2
1994
On Anosov energy levels of Hamiltonians on twisted cotangent bundles. Zbl 0829.58018
Paternain, Gabriel P.
1
1994
Multiplicity two actions and loop space homology. Zbl 0781.58006
Paternain, Gabriel P.
4
1993
Expansivity for optical Hamiltonian systems with two degrees of freedom. Zbl 0790.58030
Paternain, Gabriel P.; Paternain, Miguel
2
1993
Real analytic convex surfaces with positive topological entropy and rigid body dynamics. Zbl 0791.58073
Paternain, Gabriel P.
2
1993
On the topology of manifolds with completely integrable geodesic flows. Zbl 0735.58028
Paternain, Gabriel P.
13
1992
Entropy and completely integrable Hamiltonian systems. Zbl 0738.58023
Paternain, Gabriel
9
1991
all top 5

Cited by 475 Authors

39 Paternain, Gabriel Pedro
26 Uhlmann, Gunther Alberto
20 Frauenfelder, Urs Adrian
15 Ilmavirta, Joonas
12 Asselle, Luca
12 Salo, Mikko
11 Oksanen, Lauri
10 Stefanov, Plamen D.
9 Albers, Peter
9 Assylbekov, Yernat M.
9 Benedetti, Gabriele
9 Lassas, Matti J.
9 Monard, François
8 Macarini, Leonardo
8 Mazzucchelli, Marco
8 Nickl, Richard
8 Ruggiero, Rafael Oswaldo
7 Abbondandolo, Alberto
7 Merry, Will J.
7 Schröder, Jan Philipp
7 van Koert, Otto
7 Yang, Yang
7 Zhou, Hanming
6 Bernard, Patrick
6 Butler, Leo T.
6 Dairbekov, Nurlan Slyamkhanovich
6 de Hoop, Maarten V.
6 Gomes, Diogo Luís Aguiar
6 Guillarmou, Colin
6 Kang, Jungsoo
6 Schlenk, Felix
6 Taimanov, Iskander Asanovich
6 Zhai, Jian
5 Arnaud, Marie-Claude
5 Barbosa Gomes, José
5 Cheng, Wei
5 Contreras, Gonzalo
5 Feizmohammadi, Ali
5 Kian, Yavar
5 Paternain, Miguel
5 Sorrentino, Alfonso
5 Suárez-Serrato, Pablo
5 Zehmisch, Kai
4 Alves, Marcelo R. R.
4 Bessa, Mário
4 Cieliebak, Kai
4 Cui, Xiaojun
4 Gürel, Basak Zehra
4 Iturriaga, Renato
4 Kim, Seongchan
4 Kurylëv, Yaroslav Vadimovich
4 Labrousse, Clémence
4 Lefeuvre, Thibault
4 Vasy, András
4 Wang, Fang
4 Yan, Jun
3 Aazami, Amir Babak
3 Cekić, Mihajlo
3 Cheng, Chong-Qing
3 Dias Carneiro, Mario Jorge
3 Figalli, Alessio
3 Foulon, Patrick
3 Geiges, Hansjörg
3 Ginzburg, Viktor L’vovich
3 Harris, Adam
3 Hryniewicz, Umberto L.
3 Ivanov, Sergei Vladimirovich
3 Lai, Ru-Yu
3 Lopes Dias, João
3 Lopes, Artur Oscar
3 Maderna, Ezequiel
3 Massart, Daniel
3 Matveev, Vladimir S.
3 Mettler, Thomas
3 Mönkkönen, Keijo
3 Oliveira Dos Santos, Joana
3 Peyerimhoff, Norbert
3 Railo, Jesse
3 Rifford, Ludovic
3 Sadiq, Kamran
3 Salomão, Pedro Antonio Santoro
3 Sánchez-Morgado, Héctor
3 Su, Xifeng
3 Tamasan, Alexandru
3 Torres, Maria Joana
3 Torres, Rafael
3 Tran Vinh Hung
3 Wang, Kaizhi
3 Wojtkowski, Maciej P.
3 Yu, Yifeng
3 Zanelli, Lorenzo
2 Abreu, Miguel
2 Ainsworth, Gareth
2 Alvarez, Sébastien
2 Bae, Youngjin
2 Belbruno, Edward A.
2 Bernardi, Olga
2 Burns, Keith
2 Camilli, Fabio
2 Capuzzo Dolcetta, Italo
...and 375 more Authors
all top 5

Cited in 150 Serials

19 Proceedings of the American Mathematical Society
18 The Journal of Geometric Analysis
16 Journal of Differential Equations
15 Journal of Topology and Analysis
14 Mathematische Zeitschrift
14 Ergodic Theory and Dynamical Systems
14 Calculus of Variations and Partial Differential Equations
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Journal of Geometry and Physics
11 Transactions of the American Mathematical Society
11 Discrete and Continuous Dynamical Systems
11 Journal of Fixed Point Theory and Applications
10 Communications in Mathematical Physics
10 Inverse Problems
10 Mathematische Annalen
10 SIAM Journal on Mathematical Analysis
10 Inverse Problems and Imaging
8 Inventiones Mathematicae
8 Regular and Chaotic Dynamics
7 Israel Journal of Mathematics
7 Nonlinearity
7 Advances in Mathematics
7 Geometriae Dedicata
6 Annals of Global Analysis and Geometry
6 Journal of the European Mathematical Society (JEMS)
6 Journal of Modern Dynamics
5 Journal of Mathematical Analysis and Applications
5 Annales de l’Institut Fourier
5 Manuscripta Mathematica
5 Differential Geometry and its Applications
5 Acta Mathematica Sinica. English Series
5 Communications in Contemporary Mathematics
4 Archive for Rational Mechanics and Analysis
4 Communications on Pure and Applied Mathematics
4 Journal of Functional Analysis
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 International Journal of Mathematics
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Geometry & Topology
4 Annals of Mathematics. Second Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 The Annals of Statistics
3 Physica D
3 Journal of the American Mathematical Society
3 Geometric and Functional Analysis. GAFA
3 Journal of Inverse and Ill-Posed Problems
3 The Journal of Fourier Analysis and Applications
3 Algebraic & Geometric Topology
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Journal of Geometric Mechanics
2 Journal d’Analyse Mathématique
2 Bulletin of the London Mathematical Society
2 Commentarii Mathematici Helvetici
2 Chinese Annals of Mathematics. Series B
2 SIAM Journal on Applied Mathematics
2 Expositiones Mathematicae
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Journal of Nonlinear Science
2 Mathematical Physics, Analysis and Geometry
2 Annales Henri Poincaré
2 Foundations of Computational Mathematics
2 Theoretical and Applied Mechanics
2 Electronic Journal of Statistics
2 Journal of Spectral Theory
2 Bulletin of Mathematical Sciences
2 SIAM/ASA Journal on Uncertainty Quantification
2 Mathematical Statistics and Learning
2 Russian Journal of Nonlinear Dynamics
1 Bulletin of the Australian Mathematical Society
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Physics Letters. A
1 Physics Letters. B
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 American Journal of Mathematics
1 Anais da Academia Brasileira de Ciências
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Compositio Mathematica
1 Journal of Optimization Theory and Applications
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Revista de la Unión Matemática Argentina
1 Tokyo Journal of Mathematics
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
...and 50 more Serials
all top 5

Cited in 50 Fields

286 Differential geometry (53-XX)
231 Dynamical systems and ergodic theory (37-XX)
97 Partial differential equations (35-XX)
79 Global analysis, analysis on manifolds (58-XX)
64 Mechanics of particles and systems (70-XX)
45 Manifolds and cell complexes (57-XX)
44 Integral transforms, operational calculus (44-XX)
25 Numerical analysis (65-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
16 Statistics (62-XX)
15 Ordinary differential equations (34-XX)
11 Functional analysis (46-XX)
11 Algebraic topology (55-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Probability theory and stochastic processes (60-XX)
10 Quantum theory (81-XX)
10 Biology and other natural sciences (92-XX)
8 Functions of a complex variable (30-XX)
6 Topological groups, Lie groups (22-XX)
6 Optics, electromagnetic theory (78-XX)
6 Relativity and gravitational theory (83-XX)
6 Information and communication theory, circuits (94-XX)
5 Algebraic geometry (14-XX)
5 Integral equations (45-XX)
4 General topology (54-XX)
4 Computer science (68-XX)
4 Astronomy and astrophysics (85-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Group theory and generalizations (20-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Operator theory (47-XX)
3 Convex and discrete geometry (52-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Geophysics (86-XX)
3 Systems theory; control (93-XX)
2 Nonassociative rings and algebras (17-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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