129 citations · 642 across the 21 of their papers we have counts for
Showing 2002 · math-phShow all
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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-ph2002★ 23 cited
Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions
David C. Brydges, John Z. Imbrie
This is the second of two papers on the end-to-end distance of a weakly self-repelling walk on a four dimensional hierarchical lattice. It completes the proof that the expected val…
math-ph2002★ 6 cited
Dimensional Reduction Formulas for Branched Polymer Correlation Functions
David C. Brydges, John Z. Imbrie
In [math-ph/0107005] we have proven that the generating function for self-avoiding branched polymers in D+2 continuum dimensions is proportional to the pressure of the hard-core co…