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oai:www.ideals.illinois.edu:2142/72528 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

2009 Leininger, Christopher J. Harper, Marc Allen 2014-12-17T23:17:42Z 2014-12-17T23:17:42Z 10000-01-01 2009 This work attempts to explain the relationships between natural selection, information theory, and statistical inference. In particular, a geometric formulation of information theory known as information geometry and its deep connections to evolutionary game theory inform the role of natural selection in evolutionary processes. The goals of this work may be stated as (1) to show that a significant collection of important results in evolutionary dynamics can be interpreted elegantly in the context of information theory, and (2) to generalize the framework to study dynamics other than the replicator equation. Made available in DSpace on 2014-12-17T23:17:42Z (GMT). No. of bitstreams: 1 3392061.pdf: 901328 bytes, checksum: 389c1573580bd0a78d19246f4b67be8c (MD5) Previous issue date: 2009 Embargo set by: Seth Robbins for item 72696 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 62 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009. http://hdl.handle.net/2142/72528 (UMI)AAI3392061 Theoretical Mathematics Climbing Mount Probable text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.