Vadim Shcherbakov - On interacting birth-and-death processes
| Dates: | 31 January 2024 |
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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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Vadim Shcherbakov (Royal Holloway, University of London) will speak at the Probability seminar.
This talk concerns a probabilistic model that can be interpreted as a system of interacting birth-and-death (BD) processes. The model is described in terms of a multivariate Markov chain. Components of the Markov chain are labelled by vertices of a graph. A component evolves similarly to a BD process with transition rates that depend on the states of neighbouring components. Depending on the structure of the transition rates the model can be interpreted either as an interacting spin model, or interacting urn model, or non-homogeneous random walk etc. I will talk about some results obtained for the model in recent years in the cases when transition rates are given by log-linear, power law and linear functions. This talk is based on joint works with S. Volkov, M. Menshikov, S. Janson and S. Popov.
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Lewis Fry Richardson Room G.207
Alan Turing Building
Manchester
