A centra-limit theorem for conservative fragmentation chain

Camille Noûs; Sylvain Rubenthaler

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arXiv · 2210.07791

A centra-limit theorem for conservative fragmentation chain

Camille Noûs·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). It 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. This gives us an exact rate of convergence.

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Camille Noûs, Sylvain Rubenthaler. 2022-10-14. A centra-limit theorem for conservative fragmentation chain. https://arxiv.org/abs/2210.07791

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