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math.PR2021
A Markov process for an infinite age-structured population
Dominika Jasinska, Yuri Kozitsky
For an infinite system of particles arriving in and departing from a habitat -- a locally compact Polish space with a positive Radon measure -- a Markov process is construc…
math.PR2021
Evolution of states of an infinite particle system with nonlocal branching
Yuri Kozitsky, Agnieszka Tanaś
We study the evolution of states of an infinite system of point particles dwelling in a locally compact Polish space . Each particle produces at random a finite `cloud' of offsp…