Author | Taรฏb, Ziad. author |
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Title | Branching Processes and Neutral Evolution [electronic resource] / by Ziad Taรฏb |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1992 |
Connect to | http://dx.doi.org/10.1007/978-3-642-51536-1 |
Descript | VIII, 112 p. online resource |
0. Introduction -- 0.1. The general branching process -- 0.2. The neutral theory -- 0.3. The results -- 1. The Construction of the Process -- 1.1. The basic probability space -- 1.2. Processes counted with random characteristics -- 1.3. Special cases -- 1.4. Decompositions -- 1.5. General assumptions -- 2. Labelled Branching Processes -- 2.1. Labelled branching populations -- 2.2. The fate of the ancestral label -- 3. The Number of Distinct Labels -- 3.1. The total number of labels -- 3.2. The number of present labels -- 3.3. A Bellman-Harris application -- 3.4. The lattice case -- 4. The Label Process -- 4.1. The embedded label process -- 4.2. The oldest labels -- 4.3. The most frequent labels -- 5. The Limiting Stable Case -- 5.1. The stable pedigree space -- 5.2. The stable pedigree measure -- 5.3. Sampling among living individuals -- 6. The Process of Mutant Ancestors -- 6.1. The age of the label of an RSI -- 6.2. A renewal process -- 7. A Measure of Relatedness -- 7.1. The mean size of a label -- 7.2. The distribution of the size of a label -- 7.3. The probability of identity by descent -- 8. Infinite Sites Labels -- 8.1. The mean size -- 8.2. Another measure of relatedness -- 9. Related Individuals -- 9.1. Genealogical distances -- 9.2. Distances between relatives -- 10. Embeddings in Branching Processes -- 10.1. Trees and general branching processes -- 10.2. The branching property -- 10.3. Generalized individuals -- 11. Extensions -- 11.1. Other sampling schemes -- 11.2. Further developments -- Appendices -- A. Basic convergence theorems -- B. The lattice case -- A List of Symbols and Conventions -- References