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IMERL, Udelar Facultad de Ingeniería Av. Julio Herrera y Reissig 565 11300 Montevideo, Departamento de Montevideo, Uruguay sergi.burniol at gmail.com |
I'm a PEDECIBA postdoc at IMERL, Udelar.
I am interested in dynamical systems having some weak form of hyperbolicity. My research interests include geodesic flows and horospheres on manifolds without conjugate points and foliated horocyclic flows. In my PhD, I studied the ergodic properties of horospheres on manifolds without conjugate points.
My CV.-Equidistribution of horospheres in non-positive curvature. Ergodic Theory and Dynamical Systems, 1-20 (2021). doi:10.1017/etds.2021.124
-Unique ergodicity of the horocyclic flow on nonpositively curved surfaces, (2021). À paraître dans Israel Journal of Mathematics.
-Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles. J. Mod. Dyn., 19:795–813, 2023.
-Topology of horocycles on geometrically finite nonpositively
curved surfaces (preprint, 2023).
- Thèse, dirigée par Yves Coudène.
- Mémoire de master
Last modification: 23 February 2024.