Geodesic
Random walks without self-intersection
Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 3, pp. 424-429 
V. I. Alkhimov. Random walks without self-intersection. Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 3, pp. 424-429. http://geodesic.mathdoc.fr/item/TMF_1976_29_3_a14/
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     author = {V. I. Alkhimov},
     title = {Random walks without self-intersection},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of random walks of a particle without self-intersections in $n$-dimensional Euclidean space. A closed integral equation is obtained for the transformed distribution function for the probability of the distance between the ends of the path of the random walk.

[1] S. Chandrasekar, Stokhasticheskie problemy v fizike i astronomii, IL, 1947

[2] P. Flori, Statisticheskaya mekhanika tsepnykh molekul, «Mir», 1971

[3] V. I. Alkhimov, Dissertatsiya, MFTI, 1970