Limiting probability distribution for a random walk with topological constraints

L. B. Koralov; S. K. Nechaev; Ya G. Sinai

doi:10.1063/1.165821

Limiting probability distribution for a random walk with topological constraints

L. B. Koralov, S. K. Nechaev, Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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{ξ_n(s₁),ξ_n(s ₂),...,ξ_n(s) = ω(2ns)/n^1/4 is described.

Original language	English (US)
Pages (from-to)	131-133
Number of pages	3
Journal	Chaos
Volume	1
Issue number	2
DOIs	https://doi.org/10.1063/1.165821
State	Published - 1991

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)
Applied Mathematics

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10.1063/1.165821

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title = "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(s 2),...,ξn(s) = ω(2ns)/n1/4 is described.",

author = "Koralov, {L. B.} and Nechaev, {S. K.} and Sinai, {Ya G.}",

year = "1991",

doi = "10.1063/1.165821",

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AU - Koralov, L. B.

AU - Nechaev, S. K.

AU - Sinai, Ya G.

PY - 1991

Y1 - 1991

N2 - 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(s 2),...,ξn(s) = ω(2ns)/n1/4 is described.

AB - 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(s 2),...,ξn(s) = ω(2ns)/n1/4 is described.

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JO - Chaos

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ER -

Limiting probability distribution for a random walk with topological constraints

Abstract

All Science Journal Classification (ASJC) codes

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