Geodesic
Renormalization-group method in the self-avoiding random walk problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 413-422 
V. I. Alkhimov. Renormalization-group method in the self-avoiding random walk problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 413-422. http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a7/
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     author = {V. I. Alkhimov},
     title = {Renormalization-group method in the self-avoiding random walk problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {413--422},
     year = {1984},
     volume = {59},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Renormalization-group equations are obtained for the transformed distribution of the probability density for the vector $\mathbf r$ joining the ends of the paths of a particle in a self-avoiding random walk in $n$-dimensional Euclidean space. The asymptotic behavior of the probability density is calculated for the case $4-n\ll 1$ when the number $N$ of individual displacements of the particle tends to infinity.

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