Olga Bernardi

Ricercatore Universitario

in Fisica Matematica

Ufficio:       337 - terzo piano, corridoio AD - Torre Archimede     

                  via Trieste 63 - 35127 - Padova - Italy

Telefono:   +39 0498271340

Email:        obern@math.unipd.it

Curriculum Vitae et Studiorum

PDF (in italian)

Publications and Preprints

(The papers here available might slightly differ from the published versions)

-- 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). PDF

-- 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). PDF

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

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

-- 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). LINK

-- 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). PDF

-- 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). LINK

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

-- 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). PDF

-- 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). LINK

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

-- 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. LINK

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

-- O.B. A. Florio: A Conley-type decomposition of the strong chain recurrent set. Ergodic Theory and Dynamical Systems, on line first 2017. PDF

-- O.B. A. Florio: Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set. Dynamical Systems: An International Journal, to appear, (2018). PDF

-- O.B. A. Florio, J. Wiseman: The generalized recurrent set, explosions and Lyapunov functions. Journal of Dynamics and Differential Equations, to appear, (2019). PDF


-- 19 settembre 2017. Séminaire de Systèmes dynamiques, Analyse et Géométrie. Laboratoire de Mathématiques d’Avignon (France). LINK

-- 29 ottobre - 03 novembre 2017. Conference on Hamiltonian Systems. Ascona (Switzerland). LINK

-- 12 febbraio - 16 febbraio 2018. Recent advances in Hamiltonian dynamics and symplectic topology. Padova. LINK

-- 4 ottobre - 6 ottobre 2018. Assemblea scientifica GNFM. Montecatini Terme (PT).

-- 7 novembre 2018. Seminario di Sistemi Dinamici Olomorfi 2018-2019. Centro di Ricerca Matematica Ennio De Giorgi. Pisa.

-- 5 febbraio - 8 febbraio 2019. Workshop “Dynamical Systems: from geometry to mechanics”. University of Rome Tor Vergata.

-- 17 giugno - 21 giugno 2019. Conference “Interactions of Symplectic Topology and Dynamics”. Cortona (AR).

Teaching Publications

-- Temi d’esame senza tema. Esercizi svolti per il corso di Fondamenti di Analisi Matematica 1 per gli studenti di Ingegneria, Edizioni Libreria Progetto Padova, (2011).

Teaching a.a. 2019-2020

-- Mathematical Physics. Corso di Laurea Magistrale in Ingegneria dell’Automazione.

-- Moodle of the course: LINK.

-- Prof. Giancarlo Benettin notes, HERE.

-- Sistemi Dinamici. Corso di Laurea Magistrale in Matematica.

Ultimo aggiornamento: Venerdì 06 marzo 2020