Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder
Convex entropy decay via the Bochner–Bakry–Emery approach
We develop a method, based on a Bochner-type identity, to obtain estimates on the exponential rate of decay of the relative entropy from equilibrium of Markov processes in discrete settings. When this method applies the relative entropy decays in a convex way. The method is shown to be rather powerful when applied to a class of birth and death processes. We then consider other examples, including inhomogeneous zero-range processes and Bernoulli–Laplace models. For these two models, known results...
Scaling limit and cube-root fluctuations in SOS surfaces above a wall
Consider the classical -dimensional Solid-On-Solid model above a hard wall on an box of . The model describes a crystal surface by assigning a non-negative integer height to each site in the box and 0 heights to its boundary. The probability of a surface configuration is proportional to , where is the inverse-temperature and sums the absolute values of height differences between neighboring sites. We give a full description of the shape of the SOS surface for low enough temperatures....
Recurrence and transience for long-range reversible random walks on a random point process.
On the approach to equilibrium for a polymer with adsorption and repulsion.
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