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Dynamical behavior of a large complex system

Mathematical Physics 2011-11-10 v1 math.MP Statistics Theory Statistics Theory

Abstract

Limit theorems for a linear dynamical system with random interactions are established. These theorems enable us to characterize the dynamics of a large complex system in details and assess whether a large complex system is stable or unstable, answering an open question raised 30 years ago in the literature

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Cite

@article{arxiv.math-ph/0612005,
  title  = {Dynamical behavior of a large complex system},
  author = {J. F. Feng and M. Shcherbina and B. Tirozzi},
  journal= {arXiv preprint arXiv:math-ph/0612005},
  year   = {2011}
}

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23 pages