A central limit theorem for conservative fragmentation chains

Abstract We are interested in a fragmentation process. observe fragments frozen when their sizes less than $\varepsilon$ ( $\varepsilon>0$ ). It is known (Bertoin and Martínez, 2005) that the empirical measure of these converges law, under some renormalization. Hoffmann Krell (2011) showed bound for rate convergence. Here, we show central limit theorem, assumptions. This gives us an exact