Jakhongir B. Azimov

Critical Markov Branching-Immigration Systems: Complete Classification of the State Space and Exact Rates of Convergence

We study a critical homogeneous continuous-time Markov branching-immigration system whose offspring and immigration generating functions regularly vary at point 1 of orders 1+ν and δ with ν,δ∈(0,1]. The slowly varying factors are controlled through their index functions, which ca...