Abstract
We simulate d=2 polymer growth by allowing for a branching probability b and an impurity concentration c (0\ensuremath{\le}b,c\ensuremath{\le}1). In the (b,c) space we find a critical line (locus of vanishing order parameter and diverging correlation length) which separates infinite from finite growth regimes; in particular, a nonzero critical value for b exists even for c=0.
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