ANALYSIS OF LINEAR TRANSPORT PHENOMENA ON FRACTALS

In this article we apply input/output (I/O) renormalization to linear transport phenomena on fractals. We focus mainly on first-order reacti on kinetics, on sorption dynamics and on renormalization of integral q uantities in the case of finitely ramified structures. Moreover, care is taken to show how the theory can be extended to the study of infini tely ramified fractals and non-linear models and to the case of an unb ounded number of input sites.