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Barrier Trees of Degenerate Landscapes

Christoph Flamm, Ivo L. Hofacker, Peter F. Stadler and Michael T. Wolfinger

Working Papers from Santa Fe Institute

Abstract: The heights of energy barriers separating two (macro-)states are useful for estimating transition frequencies. In non-degenerate landscapes the decomposition of a landscape into basins surrounding local minima connected by saddle points is straightforward and yields a useful definition of macro-states. In this work we develop a rigorous concept of barrier trees for degenerate landscapes. We present a program that efficiently computes such barrier trees, and apply it to two well known examples of landscapes.

Keywords: Fitness landscape; potential energy surface; energy barrier; saddle points; degenerate states (search for similar items in EconPapers)
Date: 2001-09
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