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Research Results
RAFAEL RUGGIERO
The research work of Professor Ruggiero during the last 5 years focused on rigidity problems in Finsler geometry, geometric control theory applied to the study of generic properties of Hamiltonian dynamics, ergodic theory of nonuniformly hyperbolic geodesic flows, and Lagrangian singularity theory combined with Aubry-Mather theory applied to the study of Birkhoff problems for Lagrangian invariant manifolds. He is member of many research groups in Brazil and France: Hamltonian dynamics with Professor Mário J. Carneiro from UFMG, thermodynamics formalism with Professor Artur Lopes from UFRGS, geodesic flows of Riemannian and Finsler metrics with Professors J. Barbosa from UFJF, Patrick Foulon from CIRM, Marseille, Katrin Gelfert from UFRJ, and Gérard Besson from Université de Grenoble, and geometric control theory with Professor Ludovic Rifford from Nice University.
The most recent publications of Professor Ruggiero are:
1) Geodesic flows modeled by expansive flows. With Katrin Gelfert, Proceedings of the Edinburgh Mathematical Society, 2019, vol. 62 (1) 61-95.
2) On the graph theorem for Lagrangian minimizing tori. With Mário Jorge Carneiro, Discrete and Continuous Dynamical systems,vol. 38 (12) 6029-6045.
3) On the C1,b denstiy of metrics without invariant graphs. With Rodrigo Pacheco, Discrete and Continuous Dymaical systems vol. 38 (1) 247-261.
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(Updated 11/18/2019) |
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