  We start by discussing some theoretical issues of renormalization group
transformations and Monte Carlo renormalization group technique. A method to
compute the anomalous dimension is proposed and investigated. As an
application, we find excellent values for critical exponents in $\lambda
\phi^4_3$. Some technical questions regarding the hybrid algorithm and strong
coupling expansions, used to compute the critical couplings of the canonical
surface, are also briefly discussed.
