4 papers
Survival Probability of Markov Linear Reccurence Sequence in a Random Environment: Subcritical Case
Alexander Shklyaev
The Markov linear recurrence sequence in a random environment (MRSRE) is a particular case of Markov chain on non-negative integers. It is a natural generalization of several model…
Branching Process in a Varying Environment: How to Grow Like the Product of Means
Y. Kirpicheva, A. Shklyaev
Consider a branching process in a varying environment. Let be the natural martingale . It converges to some random variable as .…
On the Asymptotics of the Connectivity Probability of Erdos-Renyi Graphs
B. Chinyaev, A. Shklyaev
In this paper, we investigate the exact asymptotic behavior of the connectivity probability in the Erdos-Renyi graph G(n,p), under different asymptotic assumptions on the edge prob…
On Asymptotic Behavior of Extinction Moment of Critical Bisexual Branching Process in Random Environment
A. P. Zhiyanov, A. V. Shklyaev
We consider a critical bisexual branching process in a random environment generated by independent and identically distributed random variables. Assuming that the process starts wi…