A centra-limit theorem for conservative fragmentation chain
Probability
2022-10-17 v1
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.
Cite
@article{arxiv.2210.07791,
title = {A centra-limit theorem for conservative fragmentation chain},
author = {Camille Noûs and Sylvain Rubenthaler},
journal= {arXiv preprint arXiv:2210.07791},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1907.12405