Edit Profile (opens in new tab) Paternain, Gabriel Pedro Co-Author Distance Author ID: paternain.gabriel-p Published as: Paternain, Gabriel P.; Paternain, G. P.; Patermain, Gabriel P.; Paternain, Gabriel more...less External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 107 Publications since 1991, including 2 Books and 8 Additional arXiv Preprints Co-Authors: 42 Co-Authors with 84 Joint Publications 805 Co-Co-Authors all top 5 Co-Authors 23 single-authored 12 Salo, Mikko 11 Uhlmann, Gunther Alberto 8 Paternain, Miguel 7 Petean, Jimmy 6 Dairbekov, Nurlan Slyamkhanovich 6 Macarini, Leonardo 5 Contreras, Gonzalo 5 Frauenfelder, Urs Adrian 5 Merry, Will J. 5 Monard, François 4 Nickl, Richard 4 Oksanen, Lauri 3 Bohr, Jan 3 Burns, Keith 3 Cekić, Mihajlo 3 Chen, Xi 3 Iturriaga, Renato 3 Lassas, Matti J. 3 Mettler, Thomas 3 Zhou, Hanming 2 Abbondandolo, Alberto 2 Butler, Leo T. 2 Cieliebak, Kai 2 Guillarmou, Colin 2 Harris, Adam 2 Ilmavirta, Joonas 2 Lefeuvre, Thibault 1 Albers, Peter 1 Anderson, James W. 1 Contreras-Barandiarán, Gonzalo 1 Delarue, Benjamin 1 Dyatlov, Semyon 1 Gambaudo, Jean-Marc 1 Jane, Dan 1 Kurylëv, Yaroslav Vadimovich 1 Mazzucchelli, Marco 1 Polterovich, Leonid Viktorovich 1 Siburg, Karl Friedrich 1 Sorrentino, Alfonso 1 Spatzier, Ralf J. 1 Stefanov, Plamen D. 1 van Koert, Otto 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 all top 5 Fields 75 Differential geometry (53-XX) 63 Dynamical systems and ergodic theory (37-XX) 18 Global analysis, analysis on manifolds (58-XX) 12 Partial differential equations (35-XX) 10 Integral transforms, operational calculus (44-XX) 10 General topology (54-XX) 9 Manifolds and cell complexes (57-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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