Publications - Published papers

Please find below publications of our group. Currently, we list 500 papers. Some of the publications are in collaboration with the group of Sonja Prohaska and are also listed in the publication list for her individual group. Access to published papers (access) is restricted to our local network and chosen collaborators. If you have problems accessing electronic information, please let us know:

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On a Notion of Linear Replicator Equations

Nihat Ay, Ionas Erb

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J. Dyn. Diff. Eqns. 17:427-451 (2005)

Abstract


We show that replicator equations follow naturally from the exponential affine structure of the simplex known from information geometry. It is then natural to call replicator equations linear if their fitness function is affine. For such linear replicator equations an explicit solution can be found. The approach is also demonstrated for the example of Eigen's hypercycle, where some new analytic results are obtained using the explicit solution.

Keywords


Replicator equation; exponential affine structure; logarithmic linearity; hypercycle system