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演講公告
  • 標題:The coalescence problem in branching processes and its applications
  • 公告日期:2017-03-23


Speaker: Asst. Prof. Jyy-I Hong (洪芷漪助理教授)
中山大學應用數學系
Title: The coalescence problem in branching processes and its applications

Time: 10:30–12:00, Monday, March 27, 2017

Venue: Room 070116, 1F, Zhixi Building (志希樓1 樓116 教室)

Refreshment: Refreshments will be served in Faculty Lounge 30 minutes before the talk.

Abstract: A branching process is a mathematical model which has been
com- monly used to describe the evolution of a population in
various re- search fields such as genealogy, physics, ecology,
epidemiology, fi- nance, etc. One way to investigate the
population is to look forward to its future. But, when a
population grows so old, it is always in- teresting to know what
happened to it in the past. The coalescence problem provides
a way to understand the structure of the popula- tion and the
ancestry of the individuals in it.
Here, we will consider branching processes with different
settings and, in each process, We pick two individuals from
those who are alive at the current time by simple random
sampling without re- placement and trace their lines of descent
backward in time till they meet for the first time. We
call the common ancestor of these chosen individuals at the
coalescent time their most recent common ances- tor. The
coalescence problem is to investigate the limit behaviors of
some characteristics of this most recent common ancestor such
as its death time and its generation number. Moreover, we
will also ap- ply the results from the coalescence problem to
branching random walks.

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  • 最後修改時間:2017-03-23 AM 9:59

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