TY - JOUR

T1 - On the entropy of a class of constrained random walks

AU - Dayan, Ido

AU - Gitterman, Moshe

AU - Weiss, George H.

PY - 1992/5/15

Y1 - 1992/5/15

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).

UR - http://www.scopus.com/inward/record.url?scp=3643064053&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(92)90297-4

DO - 10.1016/0378-4371(92)90297-4

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AN - SCOPUS:3643064053

SN - 0378-4371

VL - 183

SP - 508

EP - 518

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 4

ER -