Professor of Mathematics
Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.
Publications
Schrödinger operators with magnetic fields and minimal action functionals
– Israel Journal of Mathematics
(2001)
123,
1
(doi: 10.1007/BF02784118)
Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows
– Ergodic Theory and Dynamical Systems
(2001)
17,
1043
(doi: 10.1017/s0143385797086331)
The Palais-Smale Condition and Mañé's Critical Values
– Annales Henri Poincaré
(2000)
1,
655
(doi: 10.1007/pl00001011)
Einstein manifolds of non-negative sectional curvature and entropy
– Mathematical Research Letters
(2000)
7,
503
(doi: 10.4310/mrl.2000.v7.n4.a16)
Differentiable structures with zero entropy on simply connected 4-manifolds
– Bulletin of the Brazilian Mathematical Society, New Series
(2000)
31,
1
(doi: 10.1007/BF01377591)
Topological pressure for geodesic flows
– Annales Scientifiques de l’École Normale Supérieure
(2000)
33,
121
On two noteworthy deformations of negatively curved Riemannian metrics
– Discrete and Continuous Dynamical Systems
(1999)
5,
639
(doi: 10.3934/dcds.1999.5.639)
First derivative of topological entropy for Anosov geodesic flows in the presence of magnetic fields
– Nonlinearity
(1999)
10,
121
(doi: 10.1088/0951-7715/10/1/008)
Lagrangian Graphs, Minimizing Measures and Mañé's Critical Values
– Geometric And Functional Analysis
(1998)
8,
788
(doi: 10.1007/s000390050074)
On the regularity of the Anosov splitting for twisted geodesic flows
– Mathematical Research Letters
(1997)
4,
871
(doi: 10.4310/mrl.1997.v4.n6.a7)
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