dc.contributor.author |
GODOY, SV |
|
dc.contributor.author |
FUJITA, S |
|
dc.date.accessioned |
2011-01-22T10:28:48Z |
|
dc.date.available |
2011-01-22T10:28:48Z |
|
dc.date.issued |
1992 |
|
dc.identifier.issn |
0307-904X |
|
dc.identifier.uri |
http://hdl.handle.net/11154/3563 |
|
dc.description.abstract |
The basic difference equations for biased correlated walks on an infinite line are solved by means of the Fourier-Laplace techniques. In terms of these solutions the discrete Laplace transforms of first-passage probabilities with directions are obtained. By using the latter the one-side return probabilities from the positive (negative) side, R+(R-), are obtained as follows: R+ = 1/2(1 + delta) - 1/2-epsilon(1 + 3-delta + epsilon)(1 + epsilon-delta)-1, R = 1/2(1 - delta - epsilon), where delta and epsilon are the degree of correlation and the degree of anisotropy, respectively, with the ranges 0 less-than-or-equal-to delta less-than-or-equal-to 1 and 0 less-than-or-equal-to epsilon less-than-or-equal-to 1-delta. The above results are obtained with the condition that the walker initially arrived at the origin with the right step (positive direction). |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
3442 |
|
dc.source.novolpages |
16(1):47-50 |
|
dc.subject.wos |
Engineering, Multidisciplinary |
|
dc.subject.wos |
Mathematics, Interdisciplinary Applications |
|
dc.subject.wos |
Mechanics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
RANDOM WALK |
|
dc.subject.keywords |
BIASED WALK |
|
dc.subject.keywords |
CORRELATED WALK |
|
dc.subject.keywords |
DEGREE OF BIAS |
|
dc.subject.keywords |
DEGREE OF CORRELATION |
|
dc.relation.journal |
Applied Mathematical Modelling |
|