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… (More)