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000779914 019__ $$a974565237$$a974692967$$a981884307
000779914 020__ $$a9783319520452$$q(electronic book)
000779914 020__ $$a3319520458$$q(electronic book)
000779914 020__ $$z9783319520445
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000779914 0247_ $$a10.1007/978-3-319-52045-2$$2doi
000779914 035__ $$aSP(OCoLC)ocn974463474
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000779914 049__ $$aISEA
000779914 050_4 $$aQH455
000779914 08204 $$a576.5/8015118$$223
000779914 1001_ $$aHofrichter, Julian.
000779914 24510 $$aInformation geometry and population genetics :$$bthe mathematical structure of the Wright-Fisher model /$$cJulian Hofrichter, Jürgen Jost, Tat Dat Tran.
000779914 260__ $$aCham :$$bSpringer,$$c2017.
000779914 300__ $$a1 online resource.
000779914 336__ $$atext$$btxt$$2rdacontent
000779914 337__ $$acomputer$$bc$$2rdamedia
000779914 338__ $$aonline resource$$bcr$$2rdacarrier
000779914 347__ $$atext file$$bPDF$$2rda
000779914 4901_ $$aSpringer complexity
000779914 4901_ $$aUnderstanding complex systems
000779914 504__ $$aIncludes bibliographical references and indexes.
000779914 5050_ $$a1. Introduction -- 2. The Wright?Fisher model -- 3. Geometric structures and information geometry -- 4. Continuous approximations -- 5. Recombination -- 6. Moment generating and free energy functionals -- 7. Large deviation theory -- 8. The forward equation -- 9. The backward equation -- 10.Applications -- Appendix -- A. Hypergeometric functions and their generalizations -- Bibliography.
000779914 506__ $$aAccess limited to authorized users.
000779914 520__ $$aThe present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
000779914 588__ $$aDescription based on print  version record.
000779914 650_0 $$aPopulation genetics$$xMathematical models.
000779914 7001_ $$aJost, Jürgen,$$d1956-
000779914 7001_ $$aTran, Tat Dat.
000779914 77608 $$iPrint version:$$z331952044X$$z9783319520445$$w(OCoLC)965346000
000779914 830_0 $$aSpringer complexity.
000779914 830_0 $$aUnderstanding complex systems.
000779914 852__ $$bebk
000779914 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-52045-2$$zOnline Access$$91397441.1
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000779914 980__ $$aEBOOK
000779914 980__ $$aBIB
000779914 982__ $$aEbook
000779914 983__ $$aOnline
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