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Barrier Trees of Degenerate Landscapes

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

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    Paper provided by Santa Fe Institute in its series Working Papers with number 01-09-053.

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    Date of creation: Sep 2001
    Date of revision:
    Handle: RePEc:wop:safiwp:01-09-053
    Contact details of provider: Postal: 1399 Hyde Park Road, Santa Fe, New Mexico 87501
    Web page: http://www.santafe.edu/sfi/publications/working-papers.html
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    1. Oliver Bastert & Dan Rockmore & Peter F. Stadler & Gottfried Tinhofer, 2001. "Landscapes on Spaces of Trees," Working Papers 01-01-006, Santa Fe Institute.
    2. Fernando F. Feirreira & José F. Fontanari & Peter F. Stadler, 2000. "Landscape Statistics of the Low Autocorrelated Binary String Problem," Working Papers 00-07-033, Santa Fe Institute.
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