We construct an invariant manifold of periodic orbits for a class of non-linear SchrÃ¶dinger equations. Using standard ideas of the theory of center manifolds, we rederive the results of Soffer andâ€¦ (More)

We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationaryâ€¦ (More)

We review some results obtained in a recent series of papers on thermal relaxation in classical and quantum dissipative systems. We consider models where a small system S , with a finite number ofâ€¦ (More)

We study the non-equilibrium statistical mechanics of the o n -dimensional, anisotropic XY model. We start from a family of initial states in which the le ft and right part of the lattice ZL = fx 2â€¦ (More)

Within the abstract framework of dynamical system theory we describe a general approach to the Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems ofâ€¦ (More)

We study linear response theory in the general framework of algebraic qu ntum statistical mechanics and prove the Green-Kubo formula and the Onsager reciprocity relations fo r heat fluxes generatedâ€¦ (More)

The spin-fermion model describes a two level quantum system S (spin 1/2) coupled to finitely many free Fermi gas reservoirs Rj which are in thermal equilibrium at inverse temperatures Î²j . Weâ€¦ (More)

We study repeated interactions of the quantized electromag netic field in a cavity with single two-levels atoms. Using the Markovian nature of the resulting quantum evolution we study its large timeâ€¦ (More)

We study a class of finite dimensional quantum dynamical semigroups {e}tâ‰¥0 whose generators L are sums of Lindbladians satisfying the detailed balance condition. Such semigroups arise in the weakâ€¦ (More)