论文标题
保守碎片链的Centra Centra-limit定理
A centra-limit theorem for conservative fragmentation chain
论文作者
论文摘要
我们对分裂过程感兴趣。当它们的大小小于ε（ε> 0）时，我们观察到片段被冷冻。众所周知（[BM05]），这些片段的经验度量在某些重新规定下在法律上收敛。在[HK11]中，作者显示了收敛速度的界限。在这里，我们在某些假设下显示了中央限制定理。这为我们提供了确切的收敛速度。
We are interested in a fragmentation process. We observe fragments frozen when their sizes are less than ε (ε > 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.
