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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

Magnetic Flows on Sol-Manifolds: Dynamical and Symplectic Aspects
LT Butler, GP Paternain
– Communications in Mathematical Physics
(2008)
284,
187
MULTIPLICITY 2 ACTIONS AND LOOP SPACE HOMOLOGY
GP PATERNAIN
– Ergodic Theory and Dynamical Systems
(2008)
13,
143
On the topology of manifolds with completely integrable geodesic flows
GP PATERNAIN
– Ergodic Theory and Dynamical Systems
(2008)
12,
109
On the cohomological equation of magnetic flows
NS Dairbekov, GP Paternain
(2008)
Rigidity properties of Anosov optical hypersurfaces
NS Dairbekov, GP Paternain
– Ergodic Theory and Dynamical Systems
(2008)
28,
707
Dynamically convex Finsler metrics and J-holomorphic embedding of asymptotic cylinders
A Harris, GP Paternain
– Annals of Global Analysis and Geometry
(2008)
34,
115
On the cohomological equation of magnetic flows
NS Dairbekov, GP Paternain
– Matemática Contemporânea
(2008)
34,
155
The boundary rigidity problem in the presence of a magnetic field
NS Dairbekov, GP Paternain, P Stefanov, G Uhlmann
– Advances in Mathematics
(2007)
216,
535
On the injectivity of the X-ray transform for Anosov thermostats
D Jane, GP Paternain
– Discrete & Continuous Dynamical Systems - A
(2007)
24,
471
Entropy Production in Thermostats II
NS Dairbekov, GP Paternain
– Journal of Statistical Physics
(2007)
127,
887
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Room

E1.07

Telephone

01223 765890