Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The May-Wigner stability theorem for connected matrices
HTML articles powered by AMS MathViewer

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.
Similar Articles
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