Renormalization-group method in the self-avoiding random walk problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 413-422 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {V. I. Alkhimov},
     title = {Renormalization-group method in the self-avoiding random walk problem},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a7/}
}
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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/

[1] Alkhimov V. I., TMF, 39:2 (1979), 215–218 | MR

[2] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976 | MR

[3] Vilson K., Kogut Dzh., Renormalizatsionnaya gruppa i $\varepsilon$-razlozhenie, Mir, M., 1975

[4] De Gennes P. G., Phys. Lett., 38A (1972), 339–340 | DOI

[5] Gabay M., Garel T., J. Phys. (Paris) Lett., 39L (1978), 123–125 | DOI

[6] Oono Y., Freed K. F., J. Chem. Phys., 75 (1981), 993–1008 | DOI | MR

[7] Biman Bagchi, Oono Y., J. Chem. Phys., 78 (1983), 2044–2050 | DOI

[8] Kholodenko A. L., Freed K. F., J. Chem. Phys., 78 (1983), 7390–7411 | DOI

[9] Alkhimov V. I., TMF, 29:3 (1976), 424–429 | MR

[10] De Zhen P., Idei skeilinga v fizike polimerov, Mir, M., 1982

[11] Havlin S., Ben-Avraham D., J. Phys. A, 15 (1982), L317–L320 | DOI | MR