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math.PR2026
Enhanced Asymptotic Analysis of Continuous-Time Markov Branching Systems: Revisiting Limiting Structural Theorems
Azam A Imomov, Sarvar B. Iskandarov, Jakhongir B. Azimov +1
Markov branching systems form a fundamental class of stochastic models that are extensively applied in biology, physics, finance, and other domains. These systems are distinguished…
math.PR2021
On application of slowly varying functions with remainder in the theory of Markov branching processes with mean one and infinite variance
A. Imomov, A. Meyliyev
We investigate an application of slowly varying functions (in sense of Karamata) in the theory of Markov branching process. We treat the critical case so that the infinitesimal gen…