Limiting probability distribution for a random walk with topological constraints.
The joint limiting probability distribution is studied for the two-dimensional random walk with topological constraints, omega(2ns), on Z(2) lattice, where 2n is its total length and (0</=s</=1). The expression for the density of finite-dimensional limiting probability distribution pi{xi(n)(s(1)),xi(n)(s(2)),.,xi(n)(s(r))} where xi(n)(s) = omega(2ns)/n(1/4), is described.
Koralov
L. B.
LB
Landau Institute for Theoretical Physics USSR Academy of Sciences, 117334 Moscow, USSR.
Nechaev
S. K.
SK
Sinai
Ya. G.
YG