Koch H., Wittwer P. On the Renormalization Group Transformation for Scalar Hierarchical Models. (419K, ps) ABSTRACT. We give a new proof for the existence of a non-Gaussian hierarchical renormalization group fixed point, using what could be called a beta-function for this problem. We also discuss the asymptotic behavior of this fixed point, and the connection between the hierarchical models of Dyson and Gallavotti.