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https://hdl.handle.net/1822/16915
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Gonçalves, Patrícia | - |
dc.date.accessioned | 2012-02-08T12:19:26Z | - |
dc.date.available | 2012-02-08T12:19:26Z | - |
dc.date.issued | 2011 | - |
dc.identifier.isbn | 9783642114557 | por |
dc.identifier.issn | 2190-5614 | por |
dc.identifier.uri | https://hdl.handle.net/1822/16915 | - |
dc.description.abstract | In this work I introduce a classical example of an Interacting Particle System: the Simple Exclusion Process. I present the notion of hydrodynamic limit, which is a Law of Large Numbers for the empirical measure and an heuristic argument to derive from the microscopic dynamics between particles a partial differential equation describing the evolution of the density profile. For the Simple Exclusion Process, in the Symmetric case ($p=1/2$) we will get to the heat equation while in the Asymmetric case ($p\neq{1/2}$) to the inviscid Burgers equation. Finally, I introduce the Central Limit Theorem for the empirical measure and the limiting process turns out to be a solution of a stochastic partial differential equation. | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.rights | openAccess | por |
dc.subject | Particle systems | por |
dc.subject | Exclusion dynamics | por |
dc.title | Simple exclusion process : from randomness to determinism | por |
dc.type | conferencePaper | - |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://www.springer.com/mathematics/dynamical+systems/book/978-3-642-11455-7 | por |
sdum.publicationstatus | published | por |
oaire.citationConferenceDate | 8-12 Setembro 2008 | por |
oaire.citationStartPage | 391 | por |
oaire.citationEndPage | 404 | por |
oaire.citationConferencePlace | Braga, Portugal | por |
oaire.citationTitle | Dynamics and Applications | por |
oaire.citationVolume | 1 | por |
dc.identifier.doi | 10.1007/978-3-642-11456-4_27 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Springer Proceedings in Mathematics | por |
sdum.conferencePublication | Dynamics and Applications | por |
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author SEP.pdf | Documento Principal | 199,8 kB | Adobe PDF | Ver/Abrir |