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SUMMARY:Michael Fuchs (National Chengchi University)
DTSTART:20231129T060000Z
DTEND:20231129T070000Z
DTSTAMP:20260423T021433Z
UID:MAC8028/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAC8028/10/"
 >Gene-tree statistics: moments and limit laws for ancestral configurations
 </a>\nby Michael Fuchs (National Chengchi University) as part of Trends in
  Mathematical Research\n\nLecture held in NTNU Gongguan S101.\n\nAbstract\
 nFor a given species tree\, ancestral configurations are the gene lineages
  which can be present at a node of the species tree over the set of all ge
 ne trees. Root ancestral configurations are the ancestral configurations w
 hich are present at the root. They play an important role in a (standard) 
 algorithm for computing probabilities of gene trees that have evolved with
 in the given species tree. In particular\, their number is a measure for t
 he complexity of this algorithm. In this talk\, we give background\, revie
 w recent results about the number of ancestral configurations and root anc
 estral configurations for matching species and gene trees under the unifor
 m and Yule Harding model\, and  explain our recent refinements of these re
 sults which concern moments and limit laws. The talk is based on joint wor
 k with F. Disanto (University of Pisa)\, A. R. Paningbatan (University of 
 the Philippines Diliman)\, C.-Y. Huang (National Chiao Tung University)\, 
 and N. A. Rosenberg (Stanford University).\n
LOCATION:https://researchseminars.org/talk/MAC8028/10/
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