1 results
A central limit theorem for conservative fragmentation chains
- Part of
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- Journal:
- Journal of Applied Probability / Volume 60 / Issue 3 / September 2023
- Published online by Cambridge University Press:
- 17 March 2023, pp. 1031-1068
- Print publication:
- September 2023
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- Article
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We are interested in a fragmentation process. We observe fragments frozen when their sizes are less than
$\varepsilon$ (
$\varepsilon>0$). It is known (Bertoin and Martínez, 2005) that the empirical measure of these fragments converges in law, under some renormalization. Hoffmann and Krell (2011) showed 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.
