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Department of Pure Mathematics and Mathematical Statistics

Professor of Mathematics

Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.

Publications

The boundary rigidity problem in the presence of a magnetic field
NS Dairbekov, GP Paternain, P Stefanov, G Uhlmann
– Advances in Mathematics
(2006)
216,
535
Entropy Production in Gaussian Thermostats
NS Dairbekov, GP Paternain
– Communications in Mathematical Physics
(2006)
269,
533
Zero entropy and bounded topology
GP Paternain, J Petean
– Commentarii Mathematici Helvetici
(2006)
81,
287
Magnetic rigidity of horocycle flows
G Paternain
– Pacific Journal of Mathematics
(2006)
225,
301
The longitudinal KAM-cocycle of a magnetic flow
GP PATERNAIN
– Mathematical Proceedings of the Cambridge Philosophical Society
(2005)
139,
307
Longitudinal KAM-cocycles and action spectra of magnetic flows
NS Dairbekov, GP Paternain
– Mathematical Research Letters
(2005)
12,
719
Entropy and Collapsing of Compact Complex Surfaces
GP Paternain, J Petean
– Proceedings of the London Mathematical Society
(2004)
89,
763
Periodic orbits for exact magnetic flows on surfaces
G Contreras, L Macarini, GP Paternain
– INT MATH RES NOTICES
(2004)
2004,
361
The minimal entropy problem for 3-manifolds with zero simplicial volume
JW Anderson, GP Paternain
– Asterisque
(2003)
63
The asymptotic Maslov index and its applications
G CONTRERAS, J-M GAMBAUDO, R ITURRIAGA, GP PATERNAIN
– Ergodic Theory and Dynamical Systems
(2003)
23,
1415
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Room

E1.07

Telephone

01223 765890