Alexey Lindo - Theta-positive branching in varying environment
| Dates: | 22 March 2023 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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Alexey Lindo (University of Glasgow) will speak in the Probability seminar. (in-person)
A time inhomogeneous Markov branching process is a stochastic model for the fluctuating size of a population consisting of individuals that live and reproduce independently of each other, provided that the coexisting individuals are jointly affected by the shared varying environment. We study time inhomogeneous Markov branching processes whose reproduction laws belong to a certain parametric family. Using explicit expressions for the probability-generating functions we establish transparent limit theorems for branching processes in a varying environment. Our results support the idea of recognizing five asymptotical regimes for branching in the varying environment: supercritical, asymptotically degenerate, critical, strictly subcritical, and loosely subcritical.
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Maurice Priestley Room G.108
Alan Turing Building
Manchester
