REAL-SPACE RENORMALIZATION-GROUP FOR LANGEVIN DYNAMICS IN ABSENCE OF TRANSLATIONAL INVARIANCE

A novel exact dynamical real-space renormalization group for a Langevi n equation derivable from a Euclidean Gaussian action is presented. It is demonstrated rigorously that an algebraic temporal law holds for t he Green function on arbitrary structures of infinite extent. In the c ase of fractals it is shown on specific examples that two different fi xed points are found, at variance with periodic structures. Connection with the growth dynamics of interfaces is also discussed.