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CENTRAL-LIMIT THEOREM FOR CONSERVATIVE FRAGMENTATION CHAINS

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02193278
Contributor : Sylvain Rubenthaler <>
Submitted on : Monday, July 29, 2019 - 10:36:10 AM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM

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  • HAL Id : hal-02193278, version 1
  • ARXIV : 1907.12405

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

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