SCALING LIMIT OF THE HEAVY TAILED BALLISTIC DEPOSITION MODEL WITH <i>p</i>-STICKING

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dc.contributor.authorComets, Francis
dc.contributor.authorDalmau, Joseba
dc.contributor.authorSaglietti, Santiago
dc.date.accessioned2025-01-20T17:31:16Z
dc.date.available2025-01-20T17:31:16Z
dc.date.issued2023
dc.description.abstractBallistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of Z and stick to the interface at the first point of contact, causing it to grow. We consider an alternative version of this model in which the blocks have random heights which are i.i.d. and heavy tailed, and where each block sticks to the interface at the first point of contact with probability p (otherwise, it falls straight down until it lands on a block belonging to the interface). We study scaling limits of the resulting interface for the different values of p and show that there is a phase transition as p goes from 1 to 0.
dc.fuente.origenWOS
dc.identifier.doi10.1214/23-AOP1635
dc.identifier.issn0091-1798
dc.identifier.urihttps://doi.org/10.1214/23-AOP1635
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/91612
dc.identifier.wosidWOS:001079177400005
dc.issue.numero5
dc.language.isoen
dc.pagina.final1931
dc.pagina.inicio1870
dc.revistaAnnals of probability
dc.rightsacceso restringido
dc.subjectBallistic deposition
dc.subjectlast passage percolation
dc.subjectscaling limit
dc.subjectheavy tails
dc.subjectregular variation
dc.titleSCALING LIMIT OF THE HEAVY TAILED BALLISTIC DEPOSITION MODEL WITH <i>p</i>-STICKING
dc.typeartículo
dc.volumen51
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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