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Record Nr. |
UNINA9910484188803321 |
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Autore |
Etheridge Alison |
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Titolo |
Some mathematical models from population genetics : Ecole d'Ete de Probabilites de Saint-Flour XXXIX-2009 |
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Pubbl/distr/stampa |
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Heidelberg, : Springer, 2011 |
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ISBN |
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Edizione |
[1st ed. 2011.] |
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Descrizione fisica |
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1 online resource (VIII, 119 p. 15 illus.) |
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Collana |
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Lecture notes in mathematics, , 0075-8434, 1617-9692 ; ; 2012 |
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Disciplina |
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Soggetti |
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Population genetics - Mathematical models |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Sommario/riassunto |
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This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically. |
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