Pré-Publication, Document De Travail Année : 2019

CENTRAL-LIMIT THEOREM FOR CONSERVATIVE FRAGMENTATION CHAINS

Résumé

We are interested in a fragmentation process. We observe fragments frozen when their sizes are less than ε (ε > 0). Is is known ([BM05]) that the empirical measure of these fragments converges in law, under some renormalization. In [HK11], the authors show a bound for the rate of convergence. Here, we show a central-limit theorem, under some assumptions.

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hal-02193278 , version 1 (29-07-2019)

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Sylvain Rubenthaler. CENTRAL-LIMIT THEOREM FOR CONSERVATIVE FRAGMENTATION CHAINS. 2019. ⟨hal-02193278⟩
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