Geodesic
Random walks on a~lattice of obstacles
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 3, pp. 451-464

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An effective method is proposed for investigating the statistical characteristics of random walks associated with their topological state with respect to a regular lattice of obstacles. Such problems arise in the modeling of the behavior of macroscopic molecules in concentrated systems consisting of strongly entangled polymer chains. The method can be used, in particular, to calculate the change in the elasticity free energy when there is isotropic swelling of polymer networks. 
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     author = {E. A. Zheligovskaya and F. F. Ternovskii and A. R. Khokhlov},
     title = {Random walks on a~lattice of obstacles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {451--464},
     publisher = {mathdoc},
     volume = {75},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a12/}
}
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E. A. Zheligovskaya; F. F. Ternovskii; A. R. Khokhlov. Random walks on a~lattice of obstacles. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 3, pp. 451-464. http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a12/