الفهرس 
Dna and rna modelsOnly 14 pages are availabe for public view
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Abstract
According to the Darwinian theory of evolution, adaptation results from spon-
taneously generated genetic variation and natural selection. Mathematical models
of this process can be seen as describing a dynamics on an algebraic structure
which in turn is de ned by the processes which generate genetic variation (muta-
tion and recombination). The theory of complex adaptive system has shown that
the properties of the algebraic structure induced by mutation and recombination
are more important for understanding the dynamics than the di erential equations
themselves. This has motivated new directions in the mathematical analysis of
evolutionary models, which the algebraic properties induced by mutation and re-
combination are at the center of interest [95]. We summarize some new results
on the algebraic properties of crossover, recombination and mutation spaces. It is
shown that the algebraic structures induced by recombination can be represented
by a map from the pairs of types to the power set of the types.