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Gabriel Paternain
Gabriel Paternain
Adresse e-mail validée de dpmms.cam.ac.uk
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Année
Geodesic flows
GP Paternain
Springer Science & Business Media, 2012
3232012
Lagrangian graphs, minimizing measures and Mañé's critical values
G Contreras, R Iturriaga, GP Paternain, M Paternain
Geometric & Functional Analysis GAFA 8 (5), 788-809, 1998
2291998
Tensor tomography on surfaces
GP Paternain, M Salo, G Uhlmann
Inventiones mathematicae 193, 229-247, 2013
1272013
Periodic orbits for exact magnetic flows on surfaces
G Contreras, L Macarini, GP Paternain
International Mathematics Research Notices 2004 (8), 361-387, 2004
1062004
Tensor tomography: progress and challenges
GP Paternain, M Salo, G Uhlmann
arXiv preprint arXiv:1303.6114, 2013
1012013
The boundary rigidity problem in the presence of a magnetic field
NS Dairbekov, GP Paternain, P Stefanov, G Uhlmann
Advances in mathematics 216 (2), 535-609, 2007
882007
Symplectic topology of Mané’s critical values
K Cieliebak, U Frauenfelder, GP Paternain
Geometry & Topology 14 (3), 1765-1870, 2010
862010
Minimal entropy and collapsing with curvature bounded from below
GP Paternain, J Petean
Inventiones mathematicae 151 (2), 415-450, 2003
832003
On the topology of manifolds with completely integrable geodesic flows
GP Paternain
Ergodic theory and dynamical systems 12 (1), 109-121, 1992
821992
Contact geometry of the restricted three‐body problem
P Albers, U Frauenfelder, OV Koert, GP Paternain
Communications on pure and applied mathematics 65 (2), 229-263, 2012
802012
The attenuated ray transform for connections and Higgs fields
GP Paternain, M Salo, G Uhlmann
Geometric and functional analysis 22 (5), 1460-1489, 2012
722012
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory
GP Paternain, L Polterovich, KF Siburg
arXiv preprint math/0207140, 2002
682002
Connecting orbits between static classes for generic Lagrangian systems
G Contreras, GP Paternain
Topology 41 (4), 645-666, 2002
682002
Anosov magnetic flows, critical values and topological entropy
K Burns, GP Paternain
Nonlinearity 15 (2), 281, 2002
682002
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
GP Paternain, M Salo, G Uhlmann
Mathematische Annalen 363, 305-362, 2015
662015
The geodesic X-ray transform with matrix weights
GP Paternain, M Salo, G Uhlmann, H Zhou
American Journal of Mathematics 141 (6), 1707-1750, 2019
652019
Spectral rigidity and invariant distributions on Anosov surfaces
GP Paternain, M Salo, G Uhlmann
Journal of Differential Geometry 98 (1), 147-181, 2014
592014
Efficient nonparametric Bayesian inference for X-ray transforms
F Monard, R Nickl, GP Paternain
The Annals of Statistics 47 (2), 1113-1147, 2019
572019
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms
F Monard, R Nickl, GP Paternain
Communications on Pure and Applied Mathematics 74 (5), 1045-1099, 2021
552021
Inverse problems for the connection Laplacian
Y Kurylev, L Oksanen, GP Paternain
Journal of Differential Geometry 110 (3), 457-494, 2018
542018
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