Critical continuum random polymer measures M_r are constructed on diamond fractals, and intersections of two independent paths are shown to have Hausdorff dimension zero with log-Hausdorff exponent 1.
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Continuum models of directed polymers on disordered diamond fractals in the critical case
Critical continuum random polymer measures M_r are constructed on diamond fractals, and intersections of two independent paths are shown to have Hausdorff dimension zero with log-Hausdorff exponent 1.