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https://hdl.handle.net/1822/16937
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Campo DC | Valor | Idioma |
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dc.contributor.author | Gonçalves, Patrícia | - |
dc.contributor.author | Ferrari, Pablo A. | - |
dc.contributor.author | Martin, James | - |
dc.date.accessioned | 2012-02-08T15:38:25Z | - |
dc.date.available | 2012-02-08T15:38:25Z | - |
dc.date.issued | 2007 | - |
dc.identifier.uri | https://hdl.handle.net/1822/16937 | - |
dc.description.abstract | We consider the nearest neighbors one-dimensional totally asymmetric simple exclusion process starting with ones to the left of the origin, a second class particle at the origin, a third class particle at site 1 and no particles to the right of site 1. We show that the probability that the third class particle is to the right of the second class particle at time $t$ converges to $2/3$ as $t\to\infty$. We also consider the asymmetric exclusion process with transition rates having a positive mean and show that if the system starts with a product measure with densities $\lambda>\rho$ to the left and right of the origin, respectively, then the position of the second class particle at time $t$ divided by $t$ converges in distribution to a uniform random variable in the interval $[-(\rho-\lambda),\rho-\lambda]$, extending a result by the first author and Kipnis. | por |
dc.language.iso | eng | por |
dc.publisher | European Mathematical Society Publishing House | por |
dc.rights | openAccess | por |
dc.subject | Asymmetric exclusion | por |
dc.subject | Multi-class process | por |
dc.title | Second and third class particles in TASEP | por |
dc.type | conferencePaper | - |
dc.peerreviewed | yes | por |
sdum.publicationstatus | published | por |
oaire.citationConferenceDate | 26 Agosto - 1 Setembro | por |
oaire.citationStartPage | 18 | por |
oaire.citationEndPage | 19 | por |
oaire.citationConferencePlace | Oberwolfach - Germany | por |
oaire.citationTitle | Large Scale Stochastic Dynamics | por |
sdum.conferencePublication | Large Scale Stochastic Dynamics | por |
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mfo report.pdf | Documento Principal | 112,5 kB | Adobe PDF | Ver/Abrir |