Sensitivity of the frog model to initial conditions

Autores
Johnson, Tobias; Trivellato Rolla, Leonardo
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an active particle. Some number of sleeping particles are placed at each site sampled independently from a certain distribution, and then one particle is activated to begin the process. We show that the recurrence or transience of the model is sensitive not just to the expectation but to the entire distribution. This is in contrast to closely related models like branching random walk and activated random walk.
Fil: Johnson, Tobias. College Of Staten Island; Estados Unidos
Fil: Trivellato Rolla, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
ACTIVATED RANDOM WALK
BRANCHING RANDOM WALK
FROG MODEL
RECURRENCE
TRANSIENCE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/136321
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Sensitivity of the frog model to initial conditionsJohnson, TobiasTrivellato Rolla, LeonardoACTIVATED RANDOM WALKBRANCHING RANDOM WALKFROG MODELRECURRENCETRANSIENCEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an active particle. Some number of sleeping particles are placed at each site sampled independently from a certain distribution, and then one particle is activated to begin the process. We show that the recurrence or transience of the model is sensitive not just to the expectation but to the entire distribution. This is in contrast to closely related models like branching random walk and activated random walk.Fil: Johnson, Tobias. College Of Staten Island; Estados UnidosFil: Trivellato Rolla, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaUniv Washington2019-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/136321Johnson, Tobias; Trivellato Rolla, Leonardo; Sensitivity of the frog model to initial conditions; Univ Washington; Electronic Communications In Probability; 24; 11-2019; 1-91083-589XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1214/19-ECP230info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/electronic-communications-in-probability/volume-24/issue-none/Sensitivity-of-the-frog-model-to-initial-conditions/10.1214/19-ECP230.fullinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:49:17Zoai:ri.conicet.gov.ar:11336/136321instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:49:18.205CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Sensitivity of the frog model to initial conditions
title Sensitivity of the frog model to initial conditions
spellingShingle Sensitivity of the frog model to initial conditions
Johnson, Tobias
ACTIVATED RANDOM WALK
BRANCHING RANDOM WALK
FROG MODEL
RECURRENCE
TRANSIENCE
title_short Sensitivity of the frog model to initial conditions
title_full Sensitivity of the frog model to initial conditions
title_fullStr Sensitivity of the frog model to initial conditions
title_full_unstemmed Sensitivity of the frog model to initial conditions
title_sort Sensitivity of the frog model to initial conditions
dc.creator.none.fl_str_mv Johnson, Tobias
Trivellato Rolla, Leonardo
author Johnson, Tobias
author_facet Johnson, Tobias
Trivellato Rolla, Leonardo
author_role author
author2 Trivellato Rolla, Leonardo
author2_role author
dc.subject.none.fl_str_mv ACTIVATED RANDOM WALK
BRANCHING RANDOM WALK
FROG MODEL
RECURRENCE
TRANSIENCE
topic ACTIVATED RANDOM WALK
BRANCHING RANDOM WALK
FROG MODEL
RECURRENCE
TRANSIENCE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an active particle. Some number of sleeping particles are placed at each site sampled independently from a certain distribution, and then one particle is activated to begin the process. We show that the recurrence or transience of the model is sensitive not just to the expectation but to the entire distribution. This is in contrast to closely related models like branching random walk and activated random walk.
Fil: Johnson, Tobias. College Of Staten Island; Estados Unidos
Fil: Trivellato Rolla, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an active particle. Some number of sleeping particles are placed at each site sampled independently from a certain distribution, and then one particle is activated to begin the process. We show that the recurrence or transience of the model is sensitive not just to the expectation but to the entire distribution. This is in contrast to closely related models like branching random walk and activated random walk.
publishDate 2019
dc.date.none.fl_str_mv 2019-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/136321
Johnson, Tobias; Trivellato Rolla, Leonardo; Sensitivity of the frog model to initial conditions; Univ Washington; Electronic Communications In Probability; 24; 11-2019; 1-9
1083-589X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/136321
identifier_str_mv Johnson, Tobias; Trivellato Rolla, Leonardo; Sensitivity of the frog model to initial conditions; Univ Washington; Electronic Communications In Probability; 24; 11-2019; 1-9
1083-589X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1214/19-ECP230
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/electronic-communications-in-probability/volume-24/issue-none/Sensitivity-of-the-frog-model-to-initial-conditions/10.1214/19-ECP230.full
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Univ Washington
publisher.none.fl_str_mv Univ Washington
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842268966030934016
score 13.13397

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