学术报告（周晓文 2025.10.31）

Abstract: Boundary behavior for simple exchangeable fragmentation-coagulation process was studied first in Foucart (2022) and later in Foucart and Zhou (2022). But some critical cases were left unaddressed.
In this talk, for a critical simple exchangeable fragmentation-coagulation process in slow regime where the coagulation rate and fragmentation rate are of the same order, we show that there exist phase transitions for its boundary behavior at infinity depending on the asymptotics of the difference between the two rates, and find rather sharp conditions for different boundary behaviors.
This talk is based on joint work with Lina Ji.