3 papers
math.PR2026
Diffusion approximation of a sequence of critical branching processes with dependent immigration
Sadillo Sharipov
This paper aims to investigate a diffusion approximation of a sequence of critical branching processes with strictly stationary and ergodic immigration. Under fairly general assump…
math.PR2025
Strong law of large numbers for random walks in weakly dependent random scenery
Sadillo Sharipov
In this brief note, we study the strong law of large numbers for random walks in random scenery. Under the assumptions that the random scenery is non-stationary and satisfies weakl…
math.PR2024
Lower deviations for branching processes with immigration
Sadillo Sharipov, Vitali Wachtel
Let , be a critical branching process with immigration having finite variance for the offspring number of particles and finite mean for the immigrating number…