Spectral Landscape Theory


Peter F. Stadler

Submitted to Evolutionary Dynamics---Exploring the Interplay of Selection, Neutrality, Accident, and Function; J.P. Crutchfield and P. Schuster (eds) Oxford Univ Press.

The notion of an {\em adaptive landscape} has proved to be a valuable concept in theoretical investigations of evolutionary change, combinatorial optimization, and the physics of disordered systems. Landscape theory has emerged as an attempt to devise suitable mathematical structures for describing the ``static'' properties of landscapes as well as their influence on the dynamics of adaptation. Here we focus on the connections of landscape theory and algebraic combinatorics that form the basis of spectral approach to understanding landscape structure.

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