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- Laboratoire Paul PainlevéFR11 papers
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5 papers · 1 filter
Strong mixing property for STIT tessellations
Raphaël Lachièze-Rey
The so-called STIT tessellations form the class of homogeneous (spatially stationary) tessellations of which are stable under the nesting/iteration operation. In thi…
Uniform estimates for order statistics and Orlicz functions
Yehoram Gordon, Alexander Litvak, Carsten Schütt +1
We establish uniform estimates for order statistics of sequences of independent identically distributed random variables with log-concave distribution in terms of Orlicz norms asso…
Stochastic and deterministic models for age-structured populations with genetically variable traits
Regis Ferriere, Viet Chi Tran
Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic ind…
Joint continuity of the local times of fractional Brownian sheets
Antoine Ayache, Dongsheng Wu, Yimin Xiao
Let be an -fractional Brownian sheet with index defined by $B^H(t)=(B^H_1(t),...,B^H_d(t)) (t\in {\mathbb{R…
On a non-classical invariance principle
Youri Davydov, Vladimir Rotar
We consider the invariance principle without the classical condition of asymptotic negligibility of individual terms. More precisely, we explore the difference of the following two…