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video | http://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 |  |
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 |
doi | https://doi.org/10.1007/978-3-319-52045-2 |
isbn_softcover | 978-3-319-84805-1 |
isbn_ebook | 978-3-319-52045-2Series ISSN 1860-0832 Series E-ISSN 1860-0840 |
issn_series | 1860-0832 |
copyright | Springer International Publishing AG 2017 |