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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

On the growth rate of contractible closed geodesics on reducible manifolds
GP Paternain, J Petean
– Geometry and Dynamics
(2003)
389,
191
The pressure of Ricci curvature
GP Paternain, J Petean
– Geometriae Dedicata
(2003)
100,
93
Minimal entropy and collapsing with curvature bounded from below
GP Paternain, J Petean
– Inventiones mathematicae
(2003)
151,
415
Collective geodesic flows
LT Butler, GP Paternain
– Annales de l'Institut Fourier
(2003)
53,
265
The minimal entropy problem for 3-manifolds with zero simplicial volume
JW Anderson, GP Paternain
– Astérisque
(2003)
xvii
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory
GP Paternain, L Polterovich, KF Siburg
– Moscow Mathematical Journal
(2003)
3,
593
Boundary Rigidity for Lagrangian Submanifolds, Non-Removable Intersections, and Aubry—Mather Theory
G Paternain, L Polterovich, KF Siburg
– Moscow Mathematical Journal
(2003)
3,
593
Connecting orbits between static classes for generic Lagrangian systems
G Contreras, GP Paternain
– Topology
(2002)
41,
645
Genericity of geodesic flows with positive topological entropy on S-2
G Contreras-Barandiarán, GP Paternain
– Journal of Differential Geometry
(2002)
61,
1
Anosov magnetic flows, critical values and topological entropy
K Burns, GP Paternain
– Nonlinearity
(2002)
15,
281
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Room

E1.07

Telephone

01223 765890