Solution of Potts-3 and Potts-infinity matrix models with the equations ofmotion method

In this letter, we show how one can solve easily the Potts-3 + branching in teractions and Potts-infinity matrix models, by the means of the equations of motion (loop equations). We give an algebraic equation for the resolvent s of these models, and their scaling behaviour. This shows that the equatio ns of motion can be a useful tool for solving such models. (C) 1999 Elsevie r Science B.V. All rights reserved.