Mathematical Physics

Research interests

  • Classical Mechanics (Perturbation theory; KAM theory; Celestial Mechanics; Astrodynamics)
  • Dynamical Systems and Ergodic Theory (Statistical properties, Limit laws, relations with probability)
  • Classical and Quantum Equilibrium Statistical Mechanics (Fermion Systems; Renormalization-group transformations; Phase transitions)
  • Non-equilibrium Statistical Mechanics (Stationary states out of equilibrium; Dynamics of Phase Separation; Stochastic Ising models; Large deviations for Markov chains)
  • Classical and Quantum Fields (Euclidean Field Theory)
  • Quantum Mechanics (Long-time behavior)