We start by discussing some theoretical issues of renormalization grou
p transformations and Monte Carlo renormalization group technique. A m
ethod to compute the anomalous dimension is proposed and investigated.
As an application, we find excellent values for critical exponents in
lambda phi(3)(4). Some technical questions regarding the hybrid algor
ithm and strong coupling expansions, used to compute the critical coup
lings of the canonical surface, are also briefly discussed.