Branching Processes and Neutral Evolution

ISBN-10: 0387555293
ISBN-13: 9780387555294
Edition: N/A
Author(s): Ziad Taib, S. A. Levin
List price: $39.95
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List Price: $39.95
Publisher: Springer
Binding: Paperback
Pages: 112
Language: English

Preface
Acknowledgements
Introduction
The general branching process
The neutral theory
The results
The Construction of the Process
The basic probability space
Processes counted with random characteristics
Special cases
Decompositions
General assumptions
Labelled Branching Processes
Labelled branching populations
The fate of the ancestral label
The Number of Distinct Labels
The total number of labels
The number of present labels
A Bellman-Harris application
The lattice case
The Label Process
The embedded label process
The oldest labels
The most frequent labels
The Limiting Stable Case
The stable pedigree space
The stable pedigree measure
Sampling among living individuals
The Process of Mutant Ancestors
The age of the label of an RSI
A renewal process
A Measure of Relatedness
The mean size of a label
The distribution of the size of a label
The probability of identity by descent
Infinite Sites Labels
The mean size
Another measure of relatedness
Related Individuals
Genealogical distances
Distances between relatives
Embeddings in Branching Processes
Trees and general branching processes
The branching property
Generalized individuals
Extensions
Other sampling schemes
Further developments
App. A.: Basic convergence theorems
App. B.: The lattice case
A List of Symbols and Conventions
References

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