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Dynamical behavior of a large complex system

J. F. Feng, M. Shcherbina, B. Tirozzi

math-pharXiv:math-ph/0612005

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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