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Boundary behavior at infinity for simple exchangeable fragmentation-coagulation process in critical slow regime (2504.04327v2)
Published 6 Apr 2025 in math.PR
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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