Central-limit theorem for conservative fragmentation chains

2019/07/29 by Sylvain Rubenthaler, Rubenthaler, Sylvain
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1907.12405

arxiv created 2019/07/29 · arxiv updated 2019/07/30

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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