Highly Optimized Tolerance: Robustness and Power Laws in Complex Systems

Details Highly Optimized Tolerance: Robustness and Power Laws in Complex Systems Highly Optimized Tolerance: Robustness and Power Laws in Complex Systems

1998-12-08

arxiv.org/abs/cond-mat/9812127v1

Physics

Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.60.1412

We introduce highly optimized tolerance (HOT), a mechanism that connects evolving structure and power laws in interconnected systems. HOT systems arise, e.g., in biology and engineering, where design and evolution create complex systems sharing common features, including (1) high efficiency, performance, and robustness to designed-for uncertainties, (2) hypersensitivity to design flaws and unanticipated perturbations, (3) nongeneric, specialized, structured configurations, and (4) power laws. We introduce HOT states in the context of percolation, and contrast properties of the high density HOT states with random configurations near the critical point. While both cases exhibit power laws, only HOT states display properties (1-3) associated with design and evolution.

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