On the entropy of a class of constrained random walks

Ido Dayan; Moshe Gitterman; George H. Weiss

doi:10.1016/0378-4371(92)90297-4

On the entropy of a class of constrained random walks

Ido Dayan
, Moshe Gitterman
, George H. Weiss

Department of Physics - at Bar-Ilan University

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

1 Scopus citations

Abstract

We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that when the constrained entropy approaches its unconstrained value, the rate of approach is asymptotically O((ln n)/n).

Original language	English
Pages (from-to)	508-518
Number of pages	11
Journal	Physica A: Statistical Mechanics and its Applications
Volume	183
Issue number	4
DOIs	https://doi.org/10.1016/0378-4371(92)90297-4
State	Published - 15 May 1992

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title = "On the entropy of a class of constrained random walks",

abstract = "We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that when the constrained entropy approaches its unconstrained value, the rate of approach is asymptotically O((ln n)/n).",

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N2 - We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that when the constrained entropy approaches its unconstrained value, the rate of approach is asymptotically O((ln n)/n).

AB - We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that when the constrained entropy approaches its unconstrained value, the rate of approach is asymptotically O((ln n)/n).

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On the entropy of a class of constrained random walks

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