Limiting probability distribution for a random walk with topological constraints
Abstract
The joint limiting probability distribution is studied for the two-dimensional random walk with topological constraints, ω(2ns), on Z2 lattice, where 2n is its total length and (0≤s≤1). The expression for the density of finite-dimensional limiting probability distribution π{ξn(s1),ξn(s2),...,ξn(sr)} where ξn(s) = ω(2ns)/n1/4, is described.
- Publication:
-
Chaos
- Pub Date:
- August 1991
- DOI:
- 10.1063/1.165821
- Bibcode:
- 1991Chaos...1..131K