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تسجيل مستخدم جديدReal Space Renormalization-Group for Configurational Random Walk Models on a Hierarchical Lattice. The Asymptotic End-to-End Distance of a Weakly SARW in Dimension Four
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تأليف
Suemi Rodriguez-Romo
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We present a real space renormalization-group map for probabilities of random walks on a hierarchical lattice. From this, we study the asymptotic behavior of the end-to-end distance of a weakly self- avoiding random walk (SARW) that penalizes the (self-)intersection of two random walks in dimension four on the hierarchical lattice.
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In [BEI] we introduced a Levy process on a hierarchical lattice which is four dimensional, in the sense that the Greens function for the process equals 1/x^2. If the process is modified so as to be weakly self-repelling, it was shown that at the crit
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