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• W4376485269 abstract "We consider a critical homogeneous-continuous-time Markov branching system, i.e. the average value of the branching rate is zero. Our basic assumption is that the branching rate generating function of the system regularly varies, in which slowly varying factor varies at infinity with an explicit expression remainder. We essentially rely on the improved version of the Basic Lemma of the critical Markov branching systems theory. First we establish a convergence rate in the Monotone ratio theorem. Subsequently we prove a local-convergence limit theorem on the asymptotic expansion of transition probabilities and their convergence to the invariant measure." @default.
• W4376485269 created "2023-05-14" @default.
• W4376485269 creator A5024161322 @default.
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• W4376485269 date "2023-01-01" @default.
• W4376485269 modified "2023-09-26" @default.
• W4376485269 title "Refined Limit Theorems for the Critical Continuous-Time Markov Branching Systems" @default.
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• W4376485269 doi "https://doi.org/10.1007/978-3-031-32990-6_6" @default.
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