The May-Wigner stability theorem for connected matrices
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- by Harold M. Hastings PDF
- Bull. Amer. Math. Soc. 7 (1982), 387-388
References
- Béla Bollobás, Graph theory, Graduate Texts in Mathematics, vol. 63, Springer-Verlag, New York-Berlin, 1979. An introductory course. MR 536131, DOI 10.1007/978-1-4612-9967-7 2. M. R. Gardner and W. R. Ashby, Connectance of large dynamic (cybernetic) systems: critical values for stability, Nature 228 (1970), 784.
- Harold M. Hastings, The May-Wigner stability theorem, J. Theoret. Biol. 97 (1982), no. 2, 155–166. MR 676770, DOI 10.1016/0022-5193(82)90096-0 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.
- M. L. Mehta, Random matrices and the statistical theory of energy levels, Academic Press, New York-London, 1967. MR 0220494 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.
Additional Information
- Journal: Bull. Amer. Math. Soc. 7 (1982), 387-388
- MSC (1980): Primary 15A52, 34D05, 82A99, 92A15, 92A17
- DOI: https://doi.org/10.1090/S0273-0979-1982-15045-5
- MathSciNet review: 663791