Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Aymen Bouaziz"'
Publikováno v:
Journal of Applied Probability. 54:55-65
We consider a marking procedure of the vertices of a tree where each vertex is marked independently from the others with a probability that depends only on its out-degree. We prove that a critical Galton–Watson tree conditioned on having a large nu
Publikováno v:
ESAIM: Probability and Statistics
ESAIM: Probability and Statistics, EDP Sciences, 2020, 24, pp.294-314. ⟨10.1051/ps/2019026⟩
ESAIM: Probability and Statistics, EDP Sciences, 2020, 24, pp.294-314. ⟨10.1051/ps/2019026⟩
Let τn be a random tree distributed as a Galton-Watson tree with geometric offspring distribution conditioned on {Zn = an} where Zn is the size of the nth generation and (an, n ∈ ℕ*) is a deterministic positive sequence. We study the local limit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad0f7bbda789d914150cdeee5aaeea21
http://arxiv.org/abs/1709.09403
http://arxiv.org/abs/1709.09403
Publikováno v:
Electron. Commun. Probab.
We give a positive answer to a conjecture on the uniqueness of harmonic functions in the quarter plane stated by K. Raschel. More precisely we prove the existence and uniqueness of a positive discrete harmonic function for a random walk satisfying fi