Maximal Branching Processes with Nonnegative Values

Tail Asymptotics for Stationary Distributions of Maximal Branching Processes

“…Then from Ψ1 ≺ Ψ2 it follows that F1 ≺ F2. In [3] the monotonicity of Ψ with respect to F (property 4) was proved.…”

Maximal Branding Processes in Random Environment

“…(where we assume 0 0 = 1), which suggested in [5] to consider Markov chains on an arbitrary measurable set T ⊂ R + with transition probabilities…”

Topics in stochastic growth models

“…[73,74]) to acknowledge the contribution of Lamperti's pioneering work [59,60,61]. A generalization of the MBP from integer-valued population processes to their real-valued analogue is considered in a series of papers by Lebedev [63,64,65], see also a review of his results in [66].…”

“…An application of these processes to the queueing theory (for gated infinite linear systems, cf. [22]) is discussed in [64]. More recently, Lebedev studied in [67,68,69] an extension of the MBP to a multi-type setting.…”

“…An application of these processes to the queueing theory (for gated infinite-server queues, cf. [22]) is discussed in [64]. Main results of this paper is the asymptotic probability of the empirical frequencies of the types.…”