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
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…
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…