1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS

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 proba...

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Detalles Bibliográficos
Autores: GODOY, SV, FUJITA, S
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1992
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/3563
Acceso en línea:http://hdl.handle.net/11154/3563
Access Level:acceso abierto
Palabra clave:Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Mechanics
RANDOM WALK
BIASED WALK
CORRELATED WALK
DEGREE OF BIAS
DEGREE OF CORRELATION
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repository_id_str
spelling 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKSGODOY, SVFUJITA, SEngineering, MultidisciplinaryMathematics, Interdisciplinary ApplicationsMechanicsRANDOM WALKBIASED WALKCORRELATED WALKDEGREE OF BIASDEGREE OF CORRELATIONThe 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).2011-01-22T10:28:48Z2011-01-22T10:28:48Z1992info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0307-904Xhttp://hdl.handle.net/11154/3563344216(1):47-50reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenApplied Mathematical Modellinginfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/35632025-09-17T19:21:50Z
dc.title.none.fl_str_mv 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
title 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
spellingShingle 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
GODOY, SV
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Mechanics
RANDOM WALK
BIASED WALK
CORRELATED WALK
DEGREE OF BIAS
DEGREE OF CORRELATION
title_short 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
title_full 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
title_fullStr 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
title_full_unstemmed 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
title_sort 1ST-PASSAGE PROBLEMS IN LINEAR BIASED CORRELATED WALKS
dc.creator.none.fl_str_mv GODOY, SV
FUJITA, S
author GODOY, SV
author_facet GODOY, SV
FUJITA, S
author_role author
author2 FUJITA, S
author2_role author
dc.subject.none.fl_str_mv Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Mechanics
RANDOM WALK
BIASED WALK
CORRELATED WALK
DEGREE OF BIAS
DEGREE OF CORRELATION
topic Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Mechanics
RANDOM WALK
BIASED WALK
CORRELATED WALK
DEGREE OF BIAS
DEGREE OF CORRELATION
description 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).
publishDate 1992
dc.date.none.fl_str_mv 1992
2011-01-22T10:28:48Z
2011-01-22T10:28:48Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0307-904X
http://hdl.handle.net/11154/3563
3442
identifier_str_mv 0307-904X
3442
url http://hdl.handle.net/11154/3563
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Applied Mathematical Modelling
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 16(1):47-50
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Sistema de Información de la Facultad de Ciencias, UNAM
collection Sistema de Información de la Facultad de Ciencias, UNAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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