Linglong Yuan - Kingman's House of Cards model with random mutation probabilities
| Dates: | 18 October 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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Linglong Yuan (University of Liverpool) will speak at the Probability seminar. (in-person)
Kingman introduced, in 1978, a simple population model with discrete generations and infinite population size to analyse the competition between mutation and selection. This model is of a deterministic nature and was later known as the famous ``House of Cards'' model. In this talk, we will introduce a random version of Kingman's model where the mutation probabilities from all generations form an i.i.d. sequence. We will show the convergence of the fitness distributions and a phase transition phenomenon regarding whether there will be a condensation or not in the limit distribution. An interesting comparison between Kingman's model and the random variant is to see how adding extra randomness perturbs a complex system.
Travel and Contact Information
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Max Newman Room G.107
Alan Turing Building
Manchester
