Boundary behavior at infinity for simple exchangeable fragmentation-coagulation process in critical slow regime

2025/04/06 by Ji, Lina, Zhou, Xiaowen
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2504.04327

Abstract

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.

Related

• A phase transition in the coming down from infinity of simple exchangeable fragmentation-coagulation processes
• On the explosion of the number of fragments in the simple exchangeable fragmentation-coalescence processes
• Gelation in coagulation and multiple fragmentation equation with a class\n of singular rates
• Asymptotic formula for a partition function of reversible coagulation -fragmentation processes
• The Discrete Unbounded Coagulation-Fragmentation Equation with Growth,\n Decay and Sedimentation