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Personale Strutture


Ricercatrice Universitaria a tempo indeterminato




049 8271340

I am Assistant Professor in Mathematical Physics at the University of Padova.

My main research interests are in Dynamical Systems, Hamilton-Jacobi equation, Symplectic Topology.

More details:



— O.B., F. Cardin: On Poincaré-Birkhoff periodic orbits for mechanical Hamiltonian systems on $T^*T^n$. Journal of Mathematical Physics 47, number 7, 072701, 15 pp. (2006).

— O.B., F. Cardin: Minimax and viscosity solutions of Hamilton-Jacobi equations in the convex case. Communications on Pure and Applied Analysis. Volume 5, number 4, 793-812, (2006).

— O.B., F. Cardin: Some Global Features of Wave Propagation. Rend. Circ. Mat. Palermo, Serie II, n. 78, 19-29, (2006).

— O.B. A Symplectic Topology approach to the Poincaré-Birkhoff Theorem and to weak solutions for Hamilton-Jacobi equations. PhD Thesis, (2006).

— M. Guzzo, O.B., F. Cardin: The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Chaos 17, 033107, 9 pp. (2007).

— O.B., F. Cardin, A. Siconolfi: Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Journal of Geometric Mechanics (JGM), Volume 1, Number 3, (2009).

— O.B., F. Cardin, M. Guzzo, L. Zanelli: A PDE approach to finite time indicators in Ergodic Theory. Journal of Nonlinear Mathematical Physics, Vol. 16, no. 2, 195-206, (2009).

— O.B., F. Cardin: On $C^0$-variational solutions to the Hamilton-Jacobi equation. DCDS-A 31 385-406, (2011).

— O.B., A. Parmeggiani, L. Zanelli: Mather measures associated with a class of Bloch wave functions. Annales Henri Poincaré 13, no. 8, 1807-1839, (2012).

— O.B., F. Cardin, M. Guzzo: New estimates for Evans' variational approach to weak KAM theory. Commun. Contemp. Math. 15, no. 2,1250055, 36 pp. (2013).

— O.B., F. Cardin, M. Guzzo: Convergence to the time average by stochastic regularization. J. Nonlinear Math. Phys. 20 no. 1, 9-27, (2013).

— A. Abbondandolo, O.B., F. Cardin: Chain recurrence, chain transitivity, Lyapunov functions and rigidity of Lagrangian submanifolds of optical hypersurfaces. Journal of Dynamics and Differential Equations, on line first 2016.

— O.B., M. Dalla Riva: Analytic dependence on parameters for Evans' approximated Weak KAM solutions. Discrete and Continuous Dynamical Systems-A 37(9), (2017).

— O.B. A. Florio: A Conley-type decomposition of the strong chain recurrent set. Ergodic Theory and Dynamical Systems, 39, no.5, 1261-1274, (2019).

— O.B. A. Florio: Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set. Dynamical Systems: An International Journal, 34, no.1, 71-92, (2019).

— O.B. A. Florio, J. Wiseman: The generalized recurrent set, explosions and Lyapunov functions. Journal of Dynamics and Differential Equations, 32, no. 4, 1797-1817, (2020).

— O. B., A. Florio, J. Wiseman: A Conley-type Lyapunov function for the strong chain recurrent set. Topology & its Applications, Volume 307, 107768, (2022).

— O. B., A. Florio, J. Wiseman: Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism? To appear, Bollettino UMI, (2022).

— L. Baracco, O. B., C. Lange, M. Mazzucchelli: On the local maximizers of higher capacity ratios. Preprint (2023).