Limiting probability distribution for a random walk with topological constraints
Abstract
The joint limiting probability distribution is studied for the twodimensional random walk with topological constraints, ω(2ns), on Z^{2} lattice, where 2n is its total length and (0≤s≤1). The expression for the density of finitedimensional limiting probability distribution π{ξ_{n}(s_{1}),ξ_{n}(s_{2}),...,ξ_{n}(s_{r})} where ξ_{n}(s) = ω(2ns)/n^{1/4}, is described.
 Publication:

Chaos
 Pub Date:
 August 1991
 DOI:
 10.1063/1.165821
 Bibcode:
 1991Chaos...1..131K