Výsledky vyhledávání - "Nassif Michel"

Akademický článek

Autor: Contat Alice, Delmas Jean-François, Duchamps Jean-Jil, Kortchemski Igor, Nassif Michel

Publikováno v: ESAIM: Proceedings and Surveys, Vol 74, Pp 19-37 (2023)

The first talk at the session Random trees and random forests “Journée MAS” (27/08/2021) was presented by I. Kortchemski. After a general up-to-date introduction to local and scaling limits of Bienaymé trees (which are discrete branching trees)

Externí odkaz: https://doaj.org/article/7cc7b41e308f41839f23e1473d2d760d

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Conditioning (sub)critical L{\'e}vy trees by their maximal degree: Decomposition and local limit

Autor: Abraham, Romain, Delmas, Jean-François, Nassif, Michel

We study the maximal degree of (sub)critical L{\'e}vy trees which arise as the scaling limits of Bienaym{\'e}-Galton-Watson trees. We determine the genealogical structure of large nodes and establish a Poissonian decomposition of the tree along those

Externí odkaz: http://arxiv.org/abs/2211.02317

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Limiting Behavior Of Additive Functionals On The Stable Tree

Autor: Nassif, Michel

We study the shape of the normalized stable L\'{e}vy tree $\mathcal{T}$ near its root. We show that, when zooming in at the root at the proper speed with a scaling depending on the index of stability, we get the unnormalized Kesten tree. In particula

Externí odkaz: http://arxiv.org/abs/2103.13649

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Global Regime for General Additive Functionals of Conditioned Bienaym{\'e}-Galton-Watson Trees

Autor: Abraham, Romain, Delmas, Jean-François, Nassif, Michel

We give an invariance principle for very general additive functionals of conditioned Bienaym{\'e}-Galton-Watson trees in the global regime when the offspring distribution lies in the domain of attraction of a stable distribution, the limit being an a

Externí odkaz: http://arxiv.org/abs/2009.08185

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