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Transition matrices occurring in the theory of Markoff processes

Published online by Cambridge University Press:  24 October 2008

L. S. Goddard
Affiliation:
Department of MathematicsKing's CollegeAberdeen

Abstract

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Type
Research Notes
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Brauer, A.Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices. Duke math. J. 19 (1952), 75.Google Scholar
(2)Frobenius, G.Über Matrizen aus nicht negativen Elementen. S.B. preuss. Akad. Wiss. (1912), p. 456.Google Scholar
(3)Ledermann, W.On the asymptotic probability distribution for certain Markoff processes. Proc. Camb. phil. Soc. 46 (1950), 581.CrossRefGoogle Scholar
(4)Perron, O.Zur Theorie der Matrizen. Math. Ann. 64 (1907), 248.CrossRefGoogle Scholar
(5)Romanovsky, V.Recherches sur les chaines de Markoff. Acta math., Stockh., 66 (1936), 147.CrossRefGoogle Scholar
(6)Wielandt, H.Unzerlegbare, nicht negative Matrizen. Math. Z. 52 (1950), 642.Google Scholar