Effective formulas for the geometry of normal homogeneous spaces. Application to flag manifolds

Autor: Rabenoro, Dimbihery, Pennec, Xavier

Consider a smooth manifold and an action on it of a compact connected Lie group with a bi-invariant metric. Then, any orbit is an embedded submanifold that is isometric to a normal homogeneous space for the group. In this paper, we establish new expl

Externí odkaz: http://arxiv.org/abs/2302.14810

A conditional limit theorem for independent random variables

Autor: Rabenoro, Dimbihery

In this paper, we prove a conditional limit theorem for independent not necessarily identically distributed random variables. Namely, we obtain the asymptotic distribution of a large number of them given the sum.

Externí odkaz: http://arxiv.org/abs/1811.07301

Functional limit laws for the increments of L\'evy processes

Autor: Rabenoro, Dimbihery

We present a functional form of the Erd\"os-Renyi law of large numbers for Levy processes.

Externí odkaz: http://arxiv.org/abs/1704.06521

Asymptotic distribution of independent not identically distributed random vectors given their sum. Functional limit laws for the increments of Lévy processes

Autor: Rabenoro, Dimbihery

Publikováno v: Mathematics [math]. Sorbonne Université, Université Pierre et Marie Curie, Paris 6; Laboratoire de Probabilités, Statistique et Modélisation (LPSM), 2018. English
Mathematics [math]. Sorbonne Université, Université Pierre et Marie Curie, Paris 6; Laboratoire de Probabilités, Statistique et Modélisation (LPSM), 2018. English. ⟨NNT : ⟩

In the first part, we obtain Gibbs type conditional limit theorems for independent non identically distributed random vectors. In the second part, we obtain functional Erdos-Renyi laws for the increments of Lévy processes.
Dans la première par

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::70c0308e09a7e9207edbc5a2a4b7514f
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