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Paternain, Gabriel Pedro

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 · IdRef · theses.fr
all top 5

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 Communications in Analysis and Geometry
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 Cambridge Studies in Advanced Mathematics
1 Progress in Mathematics
1 Journal of Fixed Point Theory and Applications
1 Journal of Modern Dynamics
1 Journal of Topology and Analysis
1 Journal de l’École Polytechnique – Mathématiques
1 Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 1,168 times in 641 Documents Cited by Year
Geodesic flows. Zbl 0930.53001
Paternain, Gabriel P.
84
1999
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
78
1998
Tensor tomography on surfaces. Zbl 1275.53067
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
48
2013
Periodic orbits for exact magnetic flows on surfaces. Zbl 1086.37032
Contreras, Gonzalo; Macarini, Leonardo; Paternain, Gabriel P.
47
2004
Contact geometry of the restricted three-body problem. Zbl 1300.70006
Albers, Peter; Frauenfelder, Urs; van Koert, Otto; Paternain, Gabriel P.
42
2012
Symplectic topology of Mañé’s critical values. Zbl 1239.53110
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
40
2010
Tensor tomography: progress and challenges. Zbl 1303.92053
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
38
2014
The boundary rigidity problem in the presence of a magnetic field. Zbl 1131.53047
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen; Uhlmann, Gunther
36
2007
Minimal entropy and collapsing with curvature bounded from below. Zbl 1049.53029
Paternain, Gabriel P.; Petean, Jimmy
30
2003
Efficient nonparametric Bayesian inference for \(X\)-ray transforms. Zbl 1417.62060
Monard, François; Nickl, Richard; Paternain, Gabriel P.
29
2019
The attenuated ray transform for connections and Higgs fields. Zbl 1256.53021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
29
2012
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions. Zbl 1328.53099
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
28
2015
The geodesic X-ray transform with matrix weights. Zbl 1440.53083
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Günther; Zhou, Hanming
27
2019
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
25
2003
Connecting orbits between static classes for generic Lagrangian systems. Zbl 1047.37042
Contreras, Gonzalo; Paternain, Gabriel P.
24
2002
Inverse problems for the connection Laplacian. Zbl 1415.53024
Kurylev, Yaroslav; Oksanen, Lauri; Paternain, Gabriel P.
24
2018
Anosov magnetic flows, critical values and topological entropy. Zbl 1161.37337
Burns, Keith; Paternain, Gabriel P.
21
2002
On the existence of three closed magnetic geodesics for subcritical energies. Zbl 1316.53042
Abbondandolo, Alberto; Macarini, Leonardo; Paternain, Gabriel P.
21
2015
Magnetic rigidity of horocycle flows. Zbl 1116.37020
Paternain, Gabriel P.
20
2006
Spectral rigidity and invariant distributions on Anosov surfaces. Zbl 1304.37021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
20
2014
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.
19
2017
Dynamically convex Finsler metrics and \(J\)-holomorphic embedding of asymptotic cylinders. Zbl 1149.53045
Harris, Adam; Paternain, Gabriel P.
19
2008
The Palais-Smale condition and Mañé’s critical values. Zbl 0986.58005
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
18
2000
Genericity of geodesic flows with positive topological entropy on \(S^2\). Zbl 1048.53061
Contreras-Barandiarán, Gonzalo; Paternain, Gabriel P.
16
2002
Consistent inversion of noisy non-abelian X-ray transforms. Zbl 07363259
Monard, François; Nickl, Richard; Paternain, Gabriel P.
16
2021
Critical values of autonomous Lagrangian systems. Zbl 0921.58017
Paternain, Gabriel P.; Paternain, Miguel
15
1997
The X-ray transform for connections in negative curvature. Zbl 1343.53078
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
15
2016
Anosov geodesic flows and twisted symplectic structures. Zbl 0868.58062
Paternain, Gabriel P.; Paternain, Miguel
14
1996
On the topology of manifolds with completely integrable geodesic flows. Zbl 0735.58028
Paternain, Gabriel P.
13
1992
Detection of Hermitian connections in wave equations with cubic non-linearity. Zbl 1487.35440
Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P.
12
2022
Zero entropy and bounded topology. Zbl 1093.53090
Paternain, Gabriel P.; Petean, Jimmy
11
2006
On the range of the attenuated ray transform for unitary connections. Zbl 1369.44003
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
11
2015
Entropy and collapsing of compact complex surfaces. Zbl 1081.53073
Paternain, Gabriel P.; Petean, Jimmy
10
2004
Entropy and completely integrable Hamiltonian systems. Zbl 0738.58023
Paternain, Gabriel
10
1991
Entropy production in Gaussian thermostats. Zbl 1113.37013
Dairbekov, Nurlan S.; Paternain, Gabriel P.
9
2007
On the topology of manifolds with completely integrable geodesic flows. II. Zbl 0801.58037
Paternain, Gabriel P.
9
1994
On Anosov energy levels of convex Hamiltonian systems. Zbl 0820.58022
Paternain, Gabriel P.; Paternain, Miguel
8
1994
Transparent connections over negatively curved surfaces. Zbl 1185.53024
Paternain, Gabriel P.
8
2009
The asymptotic Maslov index and its applications. Zbl 1052.53055
Contreras, Gonzalo; Gambaudo, Jean-Marc; Iturriaga, Renato; Paternain, Gabriel P.
8
2003
Conformal great circle flows on the 3-sphere. Zbl 1346.53070
Harris, Adam; Paternain, Gabriel P.
8
2016
Rigidity properties of Anosov optical hypersurfaces. Zbl 1144.53097
Dairbekov, Nurlan S.; Paternain, Gabriel P.
7
2008
Index computations in Rabinowitz Floer homology. Zbl 1242.37012
Merry, Will J.; Paternain, Gabriel P.
7
2011
Longgitudinal KAM-cocycles and action spectra of magnetic flows. Zbl 1089.37041
Dairbekov, Nurlan S.; Paternain, Gabriel P.
7
2005
Invariant distributions and the geodesic ray transform. Zbl 1357.53088
Paternain, Gabriel P.; Zhou, Hanming
7
2016
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 1509.32013
Mettler, Thomas; Paternain, Gabriel P.
7
2020
Inverse problem for the Yang-Mills equations. Zbl 1468.78005
Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P.
7
2021
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors. Zbl 1486.62068
Monard, François; Nickl, Richard; Paternain, Gabriel P.
7
2021
On the cohomological equation of magnetic flows. Zbl 1196.37079
Dairbekov, N. S.; Paternain, G. P.
6
2008
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
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.
6
2012
New examples of manifolds with completely integrable geodesic flows. Zbl 0830.53026
Paternain, G. P.; Spatzier, R. J.
6
1994
Geometric inverse problems. With emphasis on two dimensions. Zbl 1519.35005
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
6
2023
Equivariant symplectic homology of Anosov contact structures. Zbl 1262.53081
Macarini, Leonardo; Paternain, Gabriel P.
6
2012
On the injectivity of the X-ray transform for Anosov thermostats. Zbl 1161.37315
Jane, Dan; Paternain, Gabriel P.
5
2009
Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds. Zbl 0885.58065
Paternain, Gabriel P.
5
1997
Schrödinger operators with magnetic fields and minimal action functionals. Zbl 0997.37042
Paternain, Gabriel P.
5
2001
Helicity and the Mañé critical value. Zbl 1181.53035
Paternain, Gabriel P.
5
2009
Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023
Butler, Leo T.; Paternain, Gabriel P.
5
2008
Finsler structures on surfaces with negative Euler characteristic. Zbl 0896.53046
Paternain, Gabriel P.
5
1997
On the growth of the number of geodesics joining two points. Zbl 0873.53028
Burns, Keith; Paternain, Gabriel P.
5
1996
Multiplicity two actions and loop space homology. Zbl 0781.58006
Paternain, Gabriel P.
5
1993
Inverse problems for connections. Zbl 1316.53022
Paternain, Gabriel P.
5
2013
Holomorphic differentials, thermostats and Anosov flows. Zbl 1415.53051
Mettler, Thomas; Paternain, Gabriel P.
5
2019
On the stability of Mañé critical hypersurfaces. Zbl 1206.37030
Macarini, Leonardo; Paternain, Gabriel P.
5
2010
On two noteworthy deformations of negatively curved Riemannian metrics. Zbl 0983.37035
Paternain, Gabriel P.
4
1999
On the regularity of the Anosov splitting for twisted geodesic flows. Zbl 0901.58017
Paternain, Gabriel P.
4
1997
Collapsing manifolds obtained by Kummer-type constructions. Zbl 1171.53031
Paternain, Gabriel P.; Petean, Jimmy
4
2009
Floer homology for non-resonant magnetic fields on flat tori. Zbl 1318.53099
Frauenfelder, Urs; Merry, Will J.; Paternain, Gabriel P.
4
2015
Functions of constant geodesic x-ray transform. Zbl 1428.35625
Ilmavirta, Joonas; Paternain, Gabriel P.
4
2019
Regularity of weak foliations for thermostats. Zbl 1120.37018
Paternain, Gabriel P.
3
2007
Bäcklund transformations for transparent connections. Zbl 1234.37050
Paternain, Gabriel P.
3
2011
Stability is not open. Zbl 1235.53089
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
3
2010
Symplectic and contact properties of the Mañé critical value of the universal cover. Zbl 1325.37037
Paternain, Gabriel P.; Sorrentino, Alfonso
3
2014
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Zbl 1502.37028
Cekić, Mihajlo; Delarue, Benjamin; Dyatlov, Semyon; Paternain, Gabriel P.
3
2022
On the growth rate of leaf-wise intersections. Zbl 1266.53076
Macarini, Leonardo; Merry, Will J.; Paternain, Gabriel P.
3
2012
Stability of Anosov Hamiltonian structures. Zbl 1206.53081
Merry, Will J.; Paternain, Gabriel P.
2
2010
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
Collective geodesic flows. Zbl 1066.53135
Butler, Léo T.; Paternain, Gabriel P.
2
2003
The longitudinal KAM-cocycle of a magnetic flow. Zbl 1088.37012
Paternain, Gabriel P.
2
2005
Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows. Zbl 0889.58060
Burns, Keith; Paternain, Gabriel P.
2
1997
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
Topological entropy versus geodesic entropy. Zbl 0807.54021
Paternain, Gabriel P.; Paternain, Miguel
2
1994
Lens rigidity for a particle in a Yang-Mills field. Zbl 1415.53011
Paternain, Gabriel P.; Uhlmann, Gunther; Zhou, Hanming
2
2019
Transparent pairs. Zbl 1260.53057
Paternain, Gabriel P.
2
2012
A sharp stability estimate for tensor tomography in non-positive curvature. Zbl 1471.53064
Paternain, Gabriel P.; Salo, Mikko
2
2021
Entropy production in thermostats. II. Zbl 1115.37020
Dairbekov, Nurlan S.; Paternain, Gabriel P.
1
2007
On Anosov energy levels of Hamiltonians on twisted cotangent bundles. Zbl 0829.58018
Paternain, Gabriel P.
1
1994
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
The geodesic X-ray transform with a \(\mathrm{GL}(n,\mathbb{C})\)-connection. Zbl 1448.58023
Monard, François; Paternain, Gabriel P.
1
2020
Broken ray tensor tomography with one reflecting obstacle. Zbl 1518.53041
Ilmavirta, Joonas; Paternain, Gabriel P.
1
2022
Geometric inverse problems. With emphasis on two dimensions. Zbl 1519.35005
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
6
2023
Detection of Hermitian connections in wave equations with cubic non-linearity. Zbl 1487.35440
Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P.
12
2022
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Zbl 1502.37028
Cekić, Mihajlo; Delarue, Benjamin; Dyatlov, Semyon; Paternain, Gabriel P.
3
2022
Broken ray tensor tomography with one reflecting obstacle. Zbl 1518.53041
Ilmavirta, Joonas; Paternain, Gabriel P.
1
2022
Consistent inversion of noisy non-abelian X-ray transforms. Zbl 07363259
Monard, François; Nickl, Richard; Paternain, Gabriel P.
16
2021
Inverse problem for the Yang-Mills equations. Zbl 1468.78005
Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P.
7
2021
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors. Zbl 1486.62068
Monard, François; Nickl, Richard; Paternain, Gabriel P.
7
2021
A sharp stability estimate for tensor tomography in non-positive curvature. Zbl 1471.53064
Paternain, Gabriel P.; Salo, Mikko
2
2021
Convex projective surfaces with compatible Weyl connection are hyperbolic. Zbl 1509.32013
Mettler, Thomas; Paternain, Gabriel P.
7
2020
Resonant spaces for volume-preserving Anosov flows. Zbl 1467.37031
Cekić, Mihajlo; Paternain, Gabriel P.
1
2020
The geodesic X-ray transform with a \(\mathrm{GL}(n,\mathbb{C})\)-connection. Zbl 1448.58023
Monard, François; Paternain, Gabriel P.
1
2020
Efficient nonparametric Bayesian inference for \(X\)-ray transforms. Zbl 1417.62060
Monard, François; Nickl, Richard; Paternain, Gabriel P.
29
2019
The geodesic X-ray transform with matrix weights. Zbl 1440.53083
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Günther; Zhou, Hanming
27
2019
Holomorphic differentials, thermostats and Anosov flows. Zbl 1415.53051
Mettler, Thomas; Paternain, Gabriel P.
5
2019
Functions of constant geodesic x-ray transform. Zbl 1428.35625
Ilmavirta, Joonas; Paternain, Gabriel P.
4
2019
Lens rigidity for a particle in a Yang-Mills field. Zbl 1415.53011
Paternain, Gabriel P.; Uhlmann, Gunther; Zhou, Hanming
2
2019
Inverse problems for the connection Laplacian. Zbl 1415.53024
Kurylev, Yaroslav; Oksanen, Lauri; Paternain, Gabriel P.
24
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.
19
2017
The X-ray transform for connections in negative curvature. Zbl 1343.53078
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
15
2016
Conformal great circle flows on the 3-sphere. Zbl 1346.53070
Harris, Adam; Paternain, Gabriel P.
8
2016
Invariant distributions and the geodesic ray transform. Zbl 1357.53088
Paternain, Gabriel P.; Zhou, Hanming
7
2016
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions. Zbl 1328.53099
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
28
2015
On the existence of three closed magnetic geodesics for subcritical energies. Zbl 1316.53042
Abbondandolo, Alberto; Macarini, Leonardo; Paternain, Gabriel P.
21
2015
On the range of the attenuated ray transform for unitary connections. Zbl 1369.44003
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
11
2015
Floer homology for non-resonant magnetic fields on flat tori. Zbl 1318.53099
Frauenfelder, Urs; Merry, Will J.; Paternain, Gabriel P.
4
2015
Tensor tomography: progress and challenges. Zbl 1303.92053
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
38
2014
Spectral rigidity and invariant distributions on Anosov surfaces. Zbl 1304.37021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
20
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
48
2013
Inverse problems for connections. Zbl 1316.53022
Paternain, Gabriel P.
5
2013
Contact geometry of the restricted three-body problem. Zbl 1300.70006
Albers, Peter; Frauenfelder, Urs; van Koert, Otto; Paternain, Gabriel P.
42
2012
The attenuated ray transform for connections and Higgs fields. Zbl 1256.53021
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
29
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.
6
2012
Equivariant symplectic homology of Anosov contact structures. Zbl 1262.53081
Macarini, Leonardo; Paternain, Gabriel P.
6
2012
On the growth rate of leaf-wise intersections. Zbl 1266.53076
Macarini, Leonardo; Merry, Will J.; Paternain, Gabriel P.
3
2012
Transparent pairs. Zbl 1260.53057
Paternain, Gabriel P.
2
2012
Index computations in Rabinowitz Floer homology. Zbl 1242.37012
Merry, Will J.; Paternain, Gabriel P.
7
2011
Bäcklund transformations for transparent connections. Zbl 1234.37050
Paternain, Gabriel P.
3
2011
Symplectic topology of Mañé’s critical values. Zbl 1239.53110
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
40
2010
On the stability of Mañé critical hypersurfaces. Zbl 1206.37030
Macarini, Leonardo; Paternain, Gabriel P.
5
2010
Stability is not open. Zbl 1235.53089
Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P.
3
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.
8
2009
On the injectivity of the X-ray transform for Anosov thermostats. Zbl 1161.37315
Jane, Dan; Paternain, Gabriel P.
5
2009
Helicity and the Mañé critical value. Zbl 1181.53035
Paternain, Gabriel P.
5
2009
Collapsing manifolds obtained by Kummer-type constructions. Zbl 1171.53031
Paternain, Gabriel P.; Petean, Jimmy
4
2009
Dynamically convex Finsler metrics and \(J\)-holomorphic embedding of asymptotic cylinders. Zbl 1149.53045
Harris, Adam; Paternain, Gabriel P.
19
2008
Rigidity properties of Anosov optical hypersurfaces. Zbl 1144.53097
Dairbekov, Nurlan S.; Paternain, Gabriel P.
7
2008
On the cohomological equation of magnetic flows. Zbl 1196.37079
Dairbekov, N. S.; Paternain, G. P.
6
2008
Magnetic flows on sol-manifolds: Dynamical and symplectic aspects. Zbl 1155.37023
Butler, Leo T.; Paternain, Gabriel 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
36
2007
Entropy production in Gaussian thermostats. Zbl 1113.37013
Dairbekov, Nurlan S.; Paternain, Gabriel P.
9
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.
20
2006
Zero entropy and bounded topology. Zbl 1093.53090
Paternain, Gabriel P.; Petean, Jimmy
11
2006
Longgitudinal KAM-cocycles and action spectra of magnetic flows. Zbl 1089.37041
Dairbekov, Nurlan S.; Paternain, Gabriel P.
7
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.
47
2004
Entropy and collapsing of compact complex surfaces. Zbl 1081.53073
Paternain, Gabriel P.; Petean, Jimmy
10
2004
Minimal entropy and collapsing with curvature bounded from below. Zbl 1049.53029
Paternain, Gabriel P.; Petean, Jimmy
30
2003
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
25
2003
The asymptotic Maslov index and its applications. Zbl 1052.53055
Contreras, Gonzalo; Gambaudo, Jean-Marc; Iturriaga, Renato; Paternain, Gabriel P.
8
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.
24
2002
Anosov magnetic flows, critical values and topological entropy. Zbl 1161.37337
Burns, Keith; Paternain, Gabriel P.
21
2002
Genericity of geodesic flows with positive topological entropy on \(S^2\). Zbl 1048.53061
Contreras-Barandiarán, Gonzalo; Paternain, Gabriel P.
16
2002
Schrödinger operators with magnetic fields and minimal action functionals. Zbl 0997.37042
Paternain, Gabriel P.
5
2001
The Palais-Smale condition and Mañé’s critical values. Zbl 0986.58005
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
18
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.
84
1999
On two noteworthy deformations of negatively curved Riemannian metrics. Zbl 0983.37035
Paternain, Gabriel P.
4
1999
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
78
1998
Critical values of autonomous Lagrangian systems. Zbl 0921.58017
Paternain, Gabriel P.; Paternain, Miguel
15
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.
5
1997
Finsler structures on surfaces with negative Euler characteristic. Zbl 0896.53046
Paternain, Gabriel P.
5
1997
On the regularity of the Anosov splitting for twisted geodesic flows. Zbl 0901.58017
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
14
1996
On the growth of the number of geodesics joining two points. Zbl 0873.53028
Burns, Keith; Paternain, Gabriel P.
5
1996
On the topology of manifolds with completely integrable geodesic flows. II. Zbl 0801.58037
Paternain, Gabriel P.
9
1994
On Anosov energy levels of convex Hamiltonian systems. Zbl 0820.58022
Paternain, Gabriel P.; Paternain, Miguel
8
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.
5
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
10
1991
all top 5

Cited by 586 Authors

44 Paternain, Gabriel Pedro
36 Uhlmann, Gunther Alberto
24 Frauenfelder, Urs Adrian
21 Ilmavirta, Joonas
17 Oksanen, Lauri
16 Lassas, Matti J.
16 Salo, Mikko
13 Asselle, Luca
13 de Hoop, Maarten V.
12 Albers, Peter
12 Stefanov, Plamen D.
11 Lefeuvre, Thibault
11 Monard, François
11 Ruggiero, Rafael Oswaldo
10 Benedetti, Gabriele
9 Assylbekov, Yernat M.
9 Mazzucchelli, Marco
9 van Koert, Otto
9 Zhai, Jian
9 Zhou, Hanming
8 Abbondandolo, Alberto
8 Macarini, Leonardo
8 Merry, Will J.
8 Nickl, Richard
8 Yang, Yang
7 Kang, Jungsoo
7 Mettler, Thomas
7 Schlenk, Felix
7 Schröder, Jan Philipp
7 Taĭmanov, Iskander Asanovich
6 Arnaud, Marie-Claude
6 Barbosa Gomes, José
6 Bernard, Patrick
6 Butler, Leo T.
6 Contreras, Gonzalo
6 Dairbekov, Nurlan Slyamkhanovich
6 Feizmohammadi, Ali
6 Gomes, Diogo Luís Aguiar
6 Guillarmou, Colin
6 Paternain, Miguel
5 Alves, Marcelo R. R.
5 Cekić, Mihajlo
5 Cheng, Wei
5 Cieliebak, Kai
5 Dias Carneiro, Mario Jorge
5 Kian, Yavar
5 Kim, Seongchan
5 Kurylëv, Yaroslav Vadimovich
5 Lai, Ru-Yu
5 Liu, Fei
5 Miranda, Eva
5 Mönkkönen, Keijo
5 Saksala, Teemu
5 Salomão, Pedro Antonio Santoro
5 Sorrentino, Alfonso
5 Suárez-Serrato, Pablo
5 Wang, Fang
5 Wang, Lin
5 Yan, Jun
5 Zehmisch, Kai
4 Aazami, Amir Babak
4 Bessa, Mário
4 Cui, Xiaojun
4 Geiges, Hansjörg
4 Giordano, Matteo
4 Gürel, Basak Zehra
4 Hryniewicz, Umberto L.
4 Iturriaga, Renato
4 Katsnelson, Vitaly
4 Labrousse, Clémence
4 Lu, Jinpeng
4 Melo, Ítalo Dowell Lira
4 Mishra, Rohit Kumar
4 Moreno, Agustín S.
4 Railo, Jesse
4 Sadiq, Kamran
4 Tamasan, Alexandru
4 Vasy, András
3 Abhishek, Anuj
3 Bohr, Jan
3 Bonthonneau, Yannick Guedes
3 Cheng, Chong-Qing
3 Enciso, Alberto
3 Figalli, Alessio
3 Foulon, Patrick
3 Galaz-Garcia, Fernando
3 Ginzburg, Viktor L’vovich
3 Gong, Wenmin
3 Harris, Adam
3 Inoguchi, Jun-ichi
3 Ivanov, Sergei Vladimirovich
3 Krupchyk, Katya
3 Lange, Christian
3 Lopes Dias, João
3 Lopes, Artur Oscar
3 Maderna, Ezequiel
3 Massart, Daniel
3 Matveev, Vladimir S.
3 Moroianu, Andrei
3 Munteanu, Marian-Ioan
...and 486 more Authors
all top 5

Cited in 187 Serials

24 The Journal of Geometric Analysis
21 Journal of Differential Equations
21 Proceedings of the American Mathematical Society
20 Inverse Problems
17 Ergodic Theory and Dynamical Systems
16 Journal of Topology and Analysis
15 Mathematische Zeitschrift
14 Journal of Geometry and Physics
14 Calculus of Variations and Partial Differential Equations
14 Discrete and Continuous Dynamical Systems
14 Inverse Problems and Imaging
13 Communications in Mathematical Physics
13 Mathematical Proceedings of the Cambridge Philosophical Society
12 SIAM Journal on Mathematical Analysis
12 Journal of Fixed Point Theory and Applications
11 Mathematische Annalen
11 Transactions of the American Mathematical Society
10 Nonlinearity
9 Advances in Mathematics
9 Geometriae Dedicata
9 Inventiones Mathematicae
9 Regular and Chaotic Dynamics
8 Journal of Modern Dynamics
7 Israel Journal of Mathematics
7 Annals of Global Analysis and Geometry
7 Journal of the European Mathematical Society (JEMS)
7 Communications in Contemporary Mathematics
6 Journal of Mathematical Analysis and Applications
6 Annales de l’Institut Fourier
6 Manuscripta Mathematica
6 Differential Geometry and its Applications
6 Communications in Partial Differential Equations
5 The Annals of Statistics
5 Geometric and Functional Analysis. GAFA
5 Journal of Inverse and Ill-Posed Problems
5 Geometry & Topology
5 Acta Mathematica Sinica. English Series
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Annals of Mathematics. Second Series
4 Algebraic & Geometric Topology
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal of Spectral Theory
4 SIAM/ASA Journal on Uncertainty Quantification
4 Journal de l’École Polytechnique – Mathématiques
3 Journal of Mathematical Physics
3 Bulletin of the London Mathematical Society
3 Commentarii Mathematici Helvetici
3 Physica D
3 Journal of the American Mathematical Society
3 SIAM Journal on Applied Mathematics
3 The Journal of Fourier Analysis and Applications
3 Annales Henri Poincaré
3 Mediterranean Journal of Mathematics
3 Electronic Journal of Statistics
3 Journal of Geometric Mechanics
3 Pure and Applied Analysis
3 Annales Henri Lebesgue
2 Journal d’Analyse Mathématique
2 Mathematical Methods in the Applied Sciences
2 American Journal of Mathematics
2 Applied Mathematics and Optimization
2 Journal of Differential Geometry
2 Journal of the London Mathematical Society. Second Series
2 Chinese Annals of Mathematics. Series B
2 Expositiones Mathematicae
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Journal of Nonlinear Science
2 Selecta Mathematica. New Series
2 Mathematical Physics, Analysis and Geometry
2 Foundations of Computational Mathematics
2 Theoretical and Applied Mechanics
2 Oberwolfach Reports
2 SIAM Journal on Imaging Sciences
2 Analysis & PDE
2 Sankhyā. Series A
2 Bulletin of Mathematical Sciences
2 Mathematical Statistics and Learning
2 Electronic Research Archive
2 Russian Journal of Nonlinear Dynamics
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Letters in Mathematical 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 Anais da Academia Brasileira de Ciências
1 Annales Polonici Mathematici
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
...and 87 more Serials
all top 5

Cited in 53 Fields

361 Differential geometry (53-XX)
287 Dynamical systems and ergodic theory (37-XX)
139 Partial differential equations (35-XX)
103 Global analysis, analysis on manifolds (58-XX)
78 Mechanics of particles and systems (70-XX)
59 Manifolds and cell complexes (57-XX)
55 Integral transforms, operational calculus (44-XX)
30 Numerical analysis (65-XX)
27 Statistics (62-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
18 Several complex variables and analytic spaces (32-XX)
16 Ordinary differential equations (34-XX)
15 Algebraic topology (55-XX)
14 Probability theory and stochastic processes (60-XX)
14 Quantum theory (81-XX)
12 Functional analysis (46-XX)
11 Biology and other natural sciences (92-XX)
9 Functions of a complex variable (30-XX)
8 Optics, electromagnetic theory (78-XX)
8 Relativity and gravitational theory (83-XX)
7 Topological groups, Lie groups (22-XX)
7 Integral equations (45-XX)
7 Operator theory (47-XX)
7 Information and communication theory, circuits (94-XX)
6 Number theory (11-XX)
6 Geophysics (86-XX)
5 Combinatorics (05-XX)
5 Algebraic geometry (14-XX)
5 Convex and discrete geometry (52-XX)
5 Computer science (68-XX)
4 Nonassociative rings and algebras (17-XX)
4 Potential theory (31-XX)
4 General topology (54-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Group theory and generalizations (20-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of deformable solids (74-XX)
3 Systems theory; control (93-XX)
2 Real functions (26-XX)
2 Fluid mechanics (76-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-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 Operations research, mathematical programming (90-XX)

Citations by Year

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