Branching Processes and Neutral Evolution

Name: Branching Processes and Neutral Evolution
Price: 35.36 USD
Availability: InStock
ISBN: 9780387555294

ISBN-10: 0387555293

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