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    Branching Processes and Neutral Evolution

    ISBN-10: 0387555293
    ISBN-13: 9780387555294
    Author(s): Ziad Taib, S. A. Levin
    Buy it from: $58.46

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    Publisher: Springer
    Binding: Paperback
    Pages: 112
    Language: English

    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
    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
    Other sampling schemes
    Further developments
    App. A.: Basic convergence theorems
    App. B.: The lattice case
    A List of Symbols and Conventions

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