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We consider layered two-dimensional Ising and directed walk models and showthat the two problems are inherently related. The information about thezero-field thermodynamical properties of the Ising model is contained into thetransfer matrix of the directed walk. For several hierarchical and aperiodicdistributions of the couplings, critical exponents for the two problems areobtained exactly through renormalization.Comment: 4 pages, RevTeX file + 1 figure, epsf needed. To be published in PR

Common Trends in the Critical Behavior of the Ising and Directed Walk Models