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A class of models with self-generated disorder and controlled frustration isstudied. Between the trivial case, where frustration is not present at all, andthe limit case, where frustration is present over every length scale, a regionwith local frustration is found where glassy dynamics appears. We suggest thatin this region, the mean field model might undergo a p-spin like transition,and increasing the range of frustration, a crossover from a 1-step replicasymmetry breaking to a continuous one might be observed.Comment: 4 pages, 6 figure

Glass transition in models with controlled frustration