By Julian Hofrichter,Jürgen Jost,Tat Dat Tran

The current monograph develops a flexible and profound mathematical standpoint of the Wright--Fisher version of inhabitants genetics. This recognized and intensively studied version includes a wealthy and lovely mathematical constitution, that's exposed right here in a scientific demeanour. as well as techniques by way of research, combinatorics and PDE, a geometrical point of view is introduced in via Amari's and Chentsov's details geometry. this idea permits us to calculate many amounts of curiosity systematically; likewise, the hired worldwide point of view elucidates the stratification of the version in an extraordinary demeanour. moreover, the hyperlinks to statistical mechanics and big deviation concept are explored and built into strong instruments. Altogether, the manuscript presents an outstanding and huge operating foundation for graduate scholars and researchers attracted to this field.

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