Homogenization of diffusions on the lattice ${\mathbf{Z}}^d$ with periodic drift coefficients; Application of logarithmic Sobolev inequality

Sergio Albeverio, Michael Rockner, Simonetta Bernabei +1

A homogenization problem of infinite dimensional diffusion processes indexed by ${\mathbf{Z}}^d$ having periodic drift coefficients is considered. By an application of the uniform e…