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pro vyhledávání: '"Dadoun, Benjamin"'
Autor:
Calka, Pierre, Dadoun, Benjamin
Let $K_\lambda^d$ be the convex hull of the intersection of the homogeneous Poisson point process of intensity $\lambda$ in $\mathbb{R}^d$, $d \ge 2$, with the Euclidean unit ball $\mathbb{B}^d$. In this paper, we study the asymptotic behavior as $d\
Externí odkaz:
http://arxiv.org/abs/2410.00507
We investigate the method of moments for $d$-regular digraphs and the limiting $d$-regular directed tree $T_d$ as the number of vertices tends to infinity, in the same spirit as McKay (Linear Algebra Appl., 1981) for the undirected setting. In partic
Externí odkaz:
http://arxiv.org/abs/2309.02225
Publikováno v:
RMTA volume 13, Issue 02, Article 2450008, (2024)
It is well-known that the semi-circle law, which is the limiting distribution in the Wigner theorem, is the minimizer of the logarithmic energy penalized by the second moment. A very similar fact holds for the Girko and Marchenko--Pastur theorems. In
Externí odkaz:
http://arxiv.org/abs/2212.06090
We study the first and second orders of the asymptotic expansion, as the dimension goes to infinity, of the moments of the Hilbert-Schmidt norm of a uniformly distributed matrix in the p-Schatten unit ball. We consider the case of matrices with real,
Externí odkaz:
http://arxiv.org/abs/2111.07803
Autor:
Dadoun, Benjamin, Youssef, Pierre
Publikováno v:
Electron. Commun. Probab. 26: 1-10 (2021)
We introduce the maximal correlation coefficient $R(M_1,M_2)$ between two noncommutative probability subspaces $M_1$ and $M_2$ and show that the maximal correlation coefficient between the sub-algebras generated by $s_n:=x_1+\ldots +x_n$ and $s_m:=x_
Externí odkaz:
http://arxiv.org/abs/2011.03045
Autor:
Dadoun, Benjamin
We provide explicit conditions, in terms of the transition kernel of its driving particle, for a Markov branching process to admit a scaling limit toward a self-similar growth-fragmentation with negative index. We also derive a scaling limit for the
Externí odkaz:
http://arxiv.org/abs/1711.06675
Akademický článek
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Autor:
Dadoun, Benjamin
Markovian growth-fragmentation processes introduced by Bertoin extend the pure fragmentation model by allowing the fragments to grow larger or smaller between dislocation events. What becomes of the known asymptotic behaviors of self-similar pure fra
Externí odkaz:
http://arxiv.org/abs/1606.00829
Autor:
Dadoun, Benjamin, Neininger, Ralph
In this paper we study the number of key exchanges required by Hoare's FIND algorithm (also called Quickselect) when operating on a uniformly distributed random permutation and selecting an independent uniformly distributed rank. After normalization
Externí odkaz:
http://arxiv.org/abs/1307.8403
Akademický článek
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