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Books > Medicine > Pre-clinical medicine: basic sciences > Medical genetics
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Information Geometry and Population Genetics - The Mathematical Structure of the Wright-Fisher Model (Paperback, Softcover reprint of the original 1st ed. 2017)
Loot Price: R4,409
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Information Geometry and Population Genetics - The Mathematical Structure of the Wright-Fisher Model (Paperback, Softcover reprint of the original 1st ed. 2017)
Series: Understanding Complex Systems
Expected to ship within 10 - 15 working days
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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.
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