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We show that the problem of directed percolation on an arbitrary lattice isequivalent to the problem of m directed random walkers with rather generalattractive interactions, when suitably continued to m=0. In 1+1 dimensions,this is dual to a model of interacting steps on a vicinal surface. A similarcorrespondence with interacting self-avoiding walks is constructed forisotropic percolation.Comment: 4 pages, 3 figures, to be published in Phys. Rev. Let

Directed Percolation and Generalized Friendly Random Walkers