Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees
Sign Up to like & getrecommendations! Published in 2021 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-021-01095-9
Abstract: We give an invariance principle for very general additive functionals of conditioned Bienayme-Galton-Watson trees in the global regime when the offspring distribution lies in the domain of attraction of a stable distribution, the limit being… read more here.
Keywords: global regime; watson trees; galton watson; general additive ... See more keywords
Gromov–Hausdorff–Prokhorov convergence of vertex cut-trees of $n$-leaf Galton–Watson trees
Sign Up to like & getrecommendations! Published in 2019 at "Bernoulli"
DOI: 10.3150/18-bej1055
Abstract: In this paper we study the vertex cut-trees of Galton-Watson trees conditioned to have $n$ leaves. This notion is a slight variation of Dieuleveut's vertex cut-tree of Galton-Watson trees conditioned to have $n$ vertices. Our… read more here.
Keywords: gromov hausdorff; watson trees; galton watson; prokhorov ... See more keywords
Invariance and attraction properties of Galton–Watson trees
Sign Up to like & getrecommendations! Published in 2019 at "Bernoulli"
DOI: 10.3150/20-bej1292
Abstract: We give a complete description of invariants and attractors of the critical and subcritical Galton-Watson tree measures under the operation of Horton pruning (cutting tree laves with subsequent series reduction). The class of invariant measures… read more here.
Keywords: watson trees; watson; galton watson; invariance attraction ... See more keywords