LINEAR-OPERATORS ON CORRELATED LANDSCAPES

被引：0
作者：
STADLER, PF [1 ]
机构：
[1] SANTA FE INST, SANTA FE, NM 87501 USA
来源：
JOURNAL DE PHYSIQUE I | 1994年 / 4卷 / 05期
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D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this contribution we consider the effect of a class of ''averaging operators'' on isotropic fitness landscapes. Explicit expressions for the correlation function of the averaged landscapes are derived. A new class of tunably rugged landscapes, obtained by iterated smoothing of the random energy model, is established. The correlation structure of certain landscapes, among them the Sherrington-Kirkpatrick model, remains unchanged under the action of all averaging operators considered here.
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页码：681 / 696
页数：16
相关论文
共 35 条
  • [21] LovuYsz L., 1975, PERIOD MATH HUNG, V6, P191, DOI [DOI 10.1007/BF02018821, 10.1007/BF02018821]
  • [22] EVOLUTIONARY WALKS ON RUGGED LANDSCAPES
    MACKEN, CA
    HAGAN, PS
    PERELSON, AS
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (03) : 799 - 827
  • [23] RAO CR, 1973, LINEAR STATISTICAL I
  • [24] SPECTRAL PROPERTIES OF EIGEN EVOLUTION MATRICES
    RUMSCHITZKI, DS
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1987, 24 (06) : 667 - 680
  • [25] SOLVABLE MODEL OF A SPIN-GLASS
    SHERRINGTON, D
    KIRKPATRICK, S
    [J]. PHYSICAL REVIEW LETTERS, 1975, 35 (26) : 1792 - 1796
  • [26] CORRELATION STRUCTURE OF THE LANDSCAPE OF THE GRAPH-BIPARTITIONING PROBLEM
    STADLER, PF
    HAPPEL, R
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (11): : 3103 - 3110
  • [27] CORRELATION IN LANDSCAPES OF COMBINATORIAL OPTIMIZATION PROBLEMS
    STADLER, PF
    [J]. EUROPHYSICS LETTERS, 1992, 20 (06): : 479 - 482
  • [28] ANISOTROPY IN FITNESS LANDSCAPES
    STADLER, PF
    GRUNER, W
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 1993, 165 (03) : 373 - 388
  • [29] THE LANDSCAPE OF THE TRAVELING SALESMAN PROBLEM
    STADLER, PF
    SCHNABL, W
    [J]. PHYSICS LETTERS A, 1992, 161 (04) : 337 - 344
  • [30] STADLER PF, 1993, DISC MATH
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