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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Reinforced Galton-Watson processes.

## Reinforced Galton-Watson processes.Add to your list(s) Download to your calendar using vCal - Jean Bertoin (Universität Zürich)
- Thursday 11 July 2024, 09:15-10:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. SSDW01 - Self-interacting processes In a reinforced Galton-Watson process with reproduction law $\nu$ and memory parameter $q\in(0,1)$, the number of children of a typical individual either, with probability$q$, repeats that of one of its forebears picked uniformly at random, or, with complementary probability $1-q$, is given by an independent sample from $\nu$. We estimate the average size of the population at a large generation, and in particular, we determine explicitly the Malthusian growth rate in terms of $\nu$ and $q$. Our approach via the analysis of transport equations owes much to works by Flajolet and co-authors. This talk is based on joint works with Bastien Mallein (Toulouse) This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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