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20042011
most citedGeneralization error bounds in semi-supervised classification under the cluster assumption

109 citations

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Showing 2009 · math.PRShow all

12 papers · 2 filters

math.PR2009★ 5 cited

The critical random barrier for the survival of branching random walk with absorption

Bruno Jaffuel

We study a branching random walk on $\r$ with an absorbing barrier. The position of the barrier depends on the generation. In each generation, only the individuals born below the b…

math.PR2009★ 3 cited

Universal Gaussian fluctuations of non-Hermitian matrix ensembles

Ivan Nourdin, Giovanni Peccati

We prove multi-dimensional central limit theorems for the spectral moments (of arbitrary degrees) associated with random matrices with real-valued i.i.d. entries, satisfying some a…

math.PR2009

Optimal double stopping time

Magdalena Kobylanski, Marie-Claire Quenez, Elisabeth Rouy-Mironescu

We consider the optimal double stopping time problem defined for each stopping time by $v(S)=\esssup\{E[ψ(τ_1, τ_2) | \F_S], τ_1, τ_2 \geq S \}$. Following the optimal one stop…

math.PR2009

Directed Polymers on Hierarchical Lattices with site disorder

Hubert Lacoin, Gregorio Moreno Flores

We study a polymer model on hierarchical lattices very close to the one introduced and studied in \cite{DGr, CD}. For this model, we prove the existence of free energy and derive t…

math.PR2009

Stein's method meets Malliavin calculus: a short survey with new estimates

Ivan Nourdin, Giovanni Peccati

We provide an overview of some recent techniques involving the Malliavin calculus of variations and the so-called ``Stein's method'' for the Gaussian approximations of probability…

math.PR2009

A phase transition for the heights of a fragmentation tree

Adrien Joseph

We provide information about the asymptotic regimes for a homogeneous fragmentation of a finite set. We establish a phase transition for the asymptotic behaviours of the shattering…