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Kosto V. Mitov

Publications and source records attributed to Kosto V. Mitov.

4 recordsLinked to original sources
arXiv2025

On a class of critical Markov branching processes with non-homogeneous Poisson immigration

The paper studies a class of critical Markov branching processes with infinite variance of the offspring distribution. The processes admit also an immigration component at the jump-points of a non-homogeneous Poisson process, assuming that the mean number of immigrants is infinite and the intensity of the Poisson process converges to a constant. The asymptotic behavior of the probability for non-visiting zero is obtained. Proper limit distributions are proved, under suitable normalization of the sample paths, depending on the offspring distribution and the distribution of the immigrants.

math.PR↗
arXiv2025

Markov branching process with infinite variance and non-homogeneous immigration with infinite mean

The paper studies a class of critical Markov branching processes with infinite variance of the offspring distribution. The processes admit also an immigration component at the jump-points of a non-homogeneous Poisson process, assuming that the mean number of immigrants is infinite and the intensity of the Poisson process converges to zero. The asymptotic behavior of the probability for non-visiting zero is obtained. Limiting distributions are proved, under suitable normalization of the sample paths, depending on the offspring distribution, on the distribution of the immigrants and on the intensity of the Poisson process.

math.PR↗
arXiv2006

Critical Branching Regenerative Processes with Migration

This paper demonstrates a new regeneration processes technology making use of positive stable distributions. We study the asymptotic behavior of branching processes with a randomly controlled migration component. Using the new method, we confirm some known results and establish new limit theorems that hold in a more general setting.

math.PR↗