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We study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter $$\lambda \rightarrow 0$$, and… (More)

We prove a strong law of large numbers and an annealed invariance principle for a random walk in a one-dimensional dynamic random environment evolving as the simple exclusion process with jump… (More)

We study a one-dimensional Hamiltonian chain of masses perturbed by an energy conserving noise. The dynamics is such that, according to its Hamiltonian part, particles move freely in cells and… (More)

We introduce a class of stochastic weakly coupled map lattices, as models for studying heat conduction in solids. Each particle on the lattice evolves according to an internal dynamics that depends… (More)

We study asymptotic distributions of the sums yn(x) = ∑n−1 k=0 ψ(x + kα) with respect to the Lebesgue measure, where α ∈ R−Q and where ψ is the 1-periodic function of bounded variation such that ψ(x)… (More)

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