Climbing Mount Probable

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2009

Author dc:creator

• Harper, Marc Allen

Contributors dc:contributor

• Leininger, Christopher J.

• Theoretical Mathematics

Identifier

(UMI)AAI3392061

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/72528