3 papers
math.PR2026
Occupation-Time Fluctuations of an Age-Dependent Branching System Driven by Poisson Immigration
Ekaterina T. Kolkovska, José Alfredo López-Mimbela, Maroussia Slavtchova-Bojkova
We study the occupation-time fluctuations of a critical age-dependent branching particle system with immigration in . Immigrants arrive according to a homogeneous Poi…
math.PR2025
Transformation of the discrete stable process via branching reproduction environment
Maroussia Slavtchova-Bojkova, Penka Mayster
The current paper focuses on studying the impact of immigration with an infinite mean, driven by a discrete-stable compound Poisson process, when it is entering the branching envir…
math.PR2024
Multi-type branching processes with immigration generated by point processes
Martin Minchev, Maroussia Slavtchova-Bojkova
Following the pivotal work of Sevastyanov, who considered branching processes with homogeneous Poisson immigration, much has been done to understand the behaviour of such processes…