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dc.creatorGroisman, Pablo Jose-
dc.creatorJonckheere, Matthieu Thimothy Samson-
dc.date2018-08-14T21:17:19Z-
dc.date2018-08-14T21:17:19Z-
dc.date2016-09-
dc.date2018-08-14T14:13:34Z-
dc.date.accessioned2019-04-29T15:52:23Z-
dc.date.available2019-04-29T15:52:23Z-
dc.date.issued2016-09-
dc.identifierGroisman, Pablo Jose; Jonckheere, Matthieu Thimothy Samson; Front propagation and quasi-stationary distributions for one-dimensional Lévy processes; Cornell University; ArXiv; 9-2016; 1-10-
dc.identifier2331-8422-
dc.identifierhttp://hdl.handle.net/11336/55507-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/304271-
dc.descriptionWe jointly investigate the existence of quasi-stationary distributions for one dimensional Lévy processes and the existence of traveling waves for the Fisher-Kolmogorov-Petrovskii-Piskunov (F-KPP) equation associated with the same motion. Using probabilistic ideas developed by S. Harris, we show that the existence of a traveling wave for the F-KPP equation associated with a centered Lévy processes that branches at rate r and travels at velocity c is equivalent to the existence of a quasi-stationary distribution for a Lévy process with the same movement but drifted by −c and killed at zero, with mean absorption time 1/r. This also extends the known existence conditions in both contexts. As it is discussed in [12], this is not just a coincidence but the consequence of a relation between these two phenomena.-
dc.descriptionFil: Groisman, Pablo Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina-
dc.descriptionFil: Jonckheere, Matthieu Thimothy Samson. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherCornell University-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/1609.09338-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjecttravelling waves-
dc.subjectlevy processes-
dc.subjectqsd-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleFront propagation and quasi-stationary distributions for one-dimensional Lévy processes-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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