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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

Critical values of autonomous Lagrangian systems
G Paternain, M Paternain
– Commentarii Mathematici Helvetici
(1997)
72,
481
Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds
GP Paternain
– Proceedings of the American Mathematical Society
(1997)
125,
2759
Topological entropy and magnetic fields
GP Paternain, M Paternain
(1997)
47
Finsler structures on surfaces with negative Euler characteristic
GP Paternain
– HOUSTON JOURNAL OF MATHEMATICS
(1997)
23,
421
On the growth of the number of geodesics joining two points
K Burns, GP Paternain
(1996)
362,
7
Anosov geodesic flows and twisted symplectic structures
GP Paternain, M Paternain
(1996)
362,
132
On Anosov energy levels of convex Hamiltonian systems
GP Paternain, M Paternain
– Mathematische Zeitschrift
(1994)
217,
367
On Anosov energy levels of Hamiltonians on twisted cotangent bundles
GP Paternain
– Bulletin of the Brazilian Mathematical Society, New Series
(1994)
25,
207
On the topology of manifolds with completely integrable geodesic flows II
GP Paternain
– Journal of Geometry and Physics
(1994)
13,
289
Real analytic convex surfaces with positive topological entropy and rigid body dynamics
GP Paternain
– Manuscripta Mathematica
(1993)
78,
397
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Room

E1.07

Telephone

01223 765890