Fluctuation of the free-energy in the Hopfield Model

14 citazion

The symmetric simple exclusion process, II: Applications

We consider the one dimensional nearest neighbour symmetric simple exclusion process. We use the probability estimates obtained in a companion paper, Ferrari et al. (1991), to study some ‘collective’ properties of the particle system. In particular we give another proof of a pointwise ergodic theorem. collective phenomena * interacting particle systems * ergodicity 1

The symmetric simple exclusion process, I: Probability estimates

We consider the one-dimensional symmetric simple exclusion process with nearest neighbor jumps and we prove estimates on the decay of the correlation functions at long times.interacting particle systems correlation functions dual processes

The symmetric simple exclusion process, II: Applications

We consider the one dimensional nearest neighbour symmetric simple exclusion process. We use the probability estimates obtained in a companion paper, Ferrari et al. (1991), to study some 'collective' properties of the particle system. In particular we give another proof of a pointwise ergodic theorem.collective phenomena interacting particle systems ergodicity

Spectral analysis of the disordered stochastic 1-D Ising model

We consider the generator of the Glauber dynamics for a 1-D Ising model with random bounded potential at any temperature. We prove that for any realization of the potential the spectrum of the generator is the union of separate branches (so-called k-particle branches, k = 0, 1, 2, ...), and with probability one it is a nonrandom set. We find the location of the spectrum and prove the localization for the one-particle branch of the spectrum. As a consequence we find a lower bound for the spectral gap for any realization of the random potential

Marginally closed processes with local interaction

A simple probabilistic description of marginally closed locally interacting processes in discrete time is given. We find the invariant measures and prove the approach to equilibrium for a wide class of initial conditions.