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On the genealogy of branching populations and their diffusion limits

Published online by Cambridge University Press:  01 February 2019

Olav Kallenberg*
Affiliation:
Auburn University
*
Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5310, USA. Email address: [email protected]
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Abstract

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We consider the evolution of the ancestral structure of a classical branching process in space and its diffusion limit. We also indicate how the conditional structure of the past can be described asymptotically in terms of suitable uniform Brownian trees.

Type
Original Article
Copyright
Copyright © Applied Probability Trust 2018 

References

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