Central-limit theorem for conservative fragmentation chains

Sylvain Rubenthaler

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arXiv · 1907.12405

Central-limit theorem for conservative fragmentation chains

Sylvain Rubenthaler

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Abstract

We are interested in a fragmentation process. We observe fragments frozen when their sizes are less than $\epsilon$ ($\epsilon$ > 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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Sylvain Rubenthaler. 2019-07-29. Central-limit theorem for conservative fragmentation chains. https://arxiv.org/abs/1907.12405

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