most citedEnd-to-end Distance from the Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions

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math-ph2002★ 15 cited

End-to-end Distance from the Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions

David C. Brydges, John Z. Imbrie

In [BEI] we introduced a Levy process on a hierarchical lattice which is four dimensional, in the sense that the Green's function for the process equals 1/x^2. If the process is mo…

math-ph2001

Branched Polymers and Dimensional Reduction

David C. Brydges, John Z. Imbrie

We establish an exact relation between self-avoiding branched polymers in D+2 continuum dimensions and the hard-core continuum gas at negative activity in D dimensions. We review c…