[Forum SIS] seminar: "Critical branching as a pure death process coming down from infinity", Serik Sagitov, 14 December

[Umberto Picchini]

You are welcome to the next Statistics seminar at Dept of Mathematical 
Sciences at Chalmers and Göteborg University.

We are very glad to have, on Tuesday December 14,Serik Sagitov 
<https://www.chalmers.se/en/staff/Pages/serik.aspx> (Chalmers/Gothenburg 
University)who will talk of:

/"//Critical branching as a pure death process coming down from infinity "/
/
/
*S. Sagitov**About the speaker: *Serik Sagitov is Professor of 
Mathematical Statistics at dept. of Mathematical Sciences at Chalmers 
and University of Göteborg, where he is the head of the division of 
Applied Mathematics and Statistics. His research interests are branching 
processes, coalescent theory, population genetics, mathematical 
phylogenetics, stochastic demography. In 2019 he was awarded the 
Strömer-Ferrner Award from the Royal Swedish Academy of Sciences for his 
contribution to stochastic population dynamics.

*Abstract: *
We consider a critical Galton-Watson process with overlapping 
generations stemming from a single founder. Assuming that both the 
variance of the offspring number and the average generation length are 
finite, we establish the convergence of the finite-dimensional 
distributions of this branching process, conditioned on non-extinction 
at a remote time of observation, to those of a pure death process. This 
result brings a new perspective on Vatutin's dichotomy claiming that in 
the critical regime of age-dependent reproduction, an extant population 
either contains a large number of short-living individuals or consists 
of few long-living individuals.
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*Feel free to spread this announcement in your network.*
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*Where*: https://chalmers.zoom.us/j/63460569841
  Password: 187094
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*When*: Tuesday 14 December at 14.15-15.15 (Swedish time).
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-- 
_________________________________________________________
Umberto Picchini, Associate Professor, PhD, Docent
https://umbertopicchini.github.io/  , twitter: @uPicchini
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