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https://hdl.handle.net/1822/24720
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Campo DC | Valor | Idioma |
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dc.contributor.author | Gonçalves, Patrícia | - |
dc.date.accessioned | 2013-07-16T17:41:05Z | - |
dc.date.available | 2013-07-16T17:41:05Z | - |
dc.date.issued | 2014 | - |
dc.identifier.isbn | 9783319048482 | por |
dc.identifier.issn | 2194-1009 | por |
dc.identifier.uri | https://hdl.handle.net/1822/24720 | - |
dc.description.abstract | In this paper we consider exclusion processes $\{\eta_t: t\geq{0}\}$ evolving on the one-dimensional lattice $\mathbb{Z}$, under the diffusive time scale $tn^2$ and starting from the invariant state $\nu_\rho$ - the Bernoulli product measure of parameter $\rho\in{[0,1]}$. Our goal consists in establishing the scaling limits of the additive functional $\Gamma_t:=\int_{0}^{tn^2} \eta_s(0)\, ds$ - {\em{ the occupation time of the origin}}. We present a method, recently introduced in \cite{G.J.}, from which a {\em{local Boltzmann-Gibbs Principle}} can be derived for a general class of exclusion processes. In this case, this principle says that $\Gamma_t$ is very well approximated to the additive functional of the density of particles. As a consequence, the scaling limits of $\Gamma_t$ follow from the scaling limits of the density of particles. As examples we present the mean-zero exclusion, the symmetric simple exclusion and the weakly asymmetric simple exclusion. For the latter under a strong asymmetry regime, the limit of $\Gamma_t$ is given in terms of the solution of the KPZ equation. | por |
dc.description.sponsorship | FCT | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876-PPCDTI/109844/PT | - |
dc.rights | openAccess | por |
dc.subject | Additive functional | por |
dc.subject | Exclusion processes | por |
dc.title | Occupation times of exclusion processes | por |
dc.type | conferencePaper | - |
dc.peerreviewed | yes | por |
oaire.citationConferenceDate | 05 - 07 Julho 2010 | por |
sdum.event.type | conference | por |
oaire.citationStartPage | 329 | por |
oaire.citationEndPage | 341 | por |
oaire.citationConferencePlace | Porto, Portugal | por |
oaire.citationTitle | Modeling, Optimization, Dynamics and Bioeconomics | por |
oaire.citationVolume | 73 | por |
dc.identifier.doi | 10.1007/978-3-319-04849-9__20 | por |
sdum.journal | Springer Proceedings in Mathematics and Statistics | por |
sdum.conferencePublication | Modeling, Optimization, Dynamics and Bioeconomics | por |
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