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

Lina Ji; Xiaowen Zhou

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arXiv · 2504.04327

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

Lina Ji·Xiaowen Zhou

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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.

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Lina Ji, Xiaowen Zhou. 2025-04-06. Boundary behavior at infinity for simple exchangeable fragmentation-coagulation process in critical slow regime. https://arxiv.org/abs/2504.04327

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