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The May-Wigner stability theorem for connected matrices
Author(s):
Harold M.
Hastings
Journal:
Bull. Amer. Math. Soc.
7
(1982),
387-388.
MSC (1980):
Primary 15A52, 34D05, 82A99, 92A15, 92A17
MathSciNet review:
663791
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Additional information
References:
- 1.
- B. Bollobás, Graph theory, Graduate Texts in Math., vol. 63, Springer, New York, 1979. MR 536131
- 2.
- M. R. Gardner and W. R. Ashby, Connectance of large dynamic (cybernetic) systems: critical values for stability, Nature 228 (1970), 784.
- 3.
- H. M. Hastings, The May-Wigner stability theorem, J. Theoret. Biology (to appear). MR 676770
- 4.
- R. M. May, Will a large complex system be stable?, Nature 238 (1972), 413-414.
- 5.
- R. M. May, Stability and complexity of model ecosystems, Princeton Univ. Press, Princeton, N. J., 1974.
- 6.
- M. L. Mehta, Random matrices and the statistical theory of energy levels, Academic Press, New York and London, 1967. MR 220494
- 7.
- E. P. Wigner, Statistical properties of real symmetric matrices with many dimensions, Proc. Fourth Canad. Math. Congr. (M. S. MacPhail, ed.) Univ. Toronto Press, Toronto, 1959, pp. 174-184.
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15045-5
PII:
S 0273-0979(1982)15045-5
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