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Titlebook: Information Geometry and Population Genetics; The Mathematical Str Julian Hofrichter,Jürgen Jost,Tat Dat Tran Book 2017 Springer Internatio

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发表于 2025-3-21 16:14:46 | 显示全部楼层 |阅读模式
书目名称Information Geometry and Population Genetics
副标题The Mathematical Str
编辑Julian Hofrichter,Jürgen Jost,Tat Dat Tran
视频videohttp://file.papertrans.cn/466/465055/465055.mp4
概述Provides a new systematic and geometric approach to the Wright--Fisher model of population genetics.Introduces new tools from information geometry and statistical mechanics that lead to a deeper under
丛书名称Understanding Complex Systems
图书封面Titlebook: Information Geometry and Population Genetics; The Mathematical Str Julian Hofrichter,Jürgen Jost,Tat Dat Tran Book 2017 Springer Internatio
描述.The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari‘s and Chentsov‘s information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field..
出版日期Book 2017
关键词35K75 60J25 60F10 92D25; 35K20 35J70 60J70 53C99; information geometry; population genetics; Wright-Fish
版次1
doihttps://doi.org/10.1007/978-3-319-52045-2
isbn_softcover978-3-319-84805-1
isbn_ebook978-3-319-52045-2Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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发表于 2025-3-21 23:48:35 | 显示全部楼层
发表于 2025-3-22 01:38:49 | 显示全部楼层
Book 2017and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari‘s and Chentsov‘s information geometry. This co
发表于 2025-3-22 05:42:14 | 显示全部楼层
,The Wright–Fisher Model,eles at the locus. Biologically, diploidy expresses the fact that one allele is inherited from the mother and the other from the father. However, the distinction between female and male individuals is irrelevant for the basic model.
发表于 2025-3-22 10:20:54 | 显示全部楼层
Continuous Approximations,keep our treatment self-contained. The proof can be shortened by appealing to general theorems about stochastic processes, but, in order to be self-contained, we do not invoke those results here. A reader not interested in the technical details of the justification of the diffusion limits may directly move on to Sect. 4.2.
发表于 2025-3-22 15:14:11 | 显示全部楼层
Recombination,under consideration. When two gametes are paired, they form an offspring gamete that at some of its sites gets the alleles from the first parent, and at the other sites those of the second parent. This is recombination, and a recombination scheme may restrict the possibilities for the combinations.
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发表于 2025-3-22 22:30:03 | 显示全部楼层
Large Deviation Theory,obab 10(4):1259–1273, 2000). For a different approach to the large deviation principle for exit times in population genetics, we refer the reader to Morrow and Sawyer (Ann Probab 17(3):1124–1146, 1989) and Morrow (Ann Appl Probab 2(4):857–905, 1992). As customary, we shall abbreviate Large Deviation Principle as LDP.
发表于 2025-3-23 05:14:43 | 显示全部楼层
in Initiativen wie dem IIRC (Mervyn King) und SASB (Michael Bloomberg) fortsetzen wird. Abschließend werden die wichtigsten Instrumente der . vorgestellt. Hier sind . wie auch . oder . mögliche Tools, um die Glaubwürdigkeit bei unterschiedlichen Stakeholder-Gruppen zu erhöhen.
发表于 2025-3-23 08:39:31 | 显示全部楼层
1860-0832 rge deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field..978-3-319-84805-1978-3-319-52045-2Series ISSN 1860-0832 Series E-ISSN 1860-0840
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