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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.

 

Subadditive stochastic processes
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by Michael D. Smeltzer PDF
Bull. Amer. Math. Soc. 83 (1977), 1054-1056
References
    1. G. D. Birkhoff, Proof of the ergodic theorem, Proc. Nat. Acad. Sci. 17 (1931), 656—660. 2. E. Bishop, An upcrossing inequality with applications, Michigan Math. J. 13 (1966), 1—13. MR 33 #2772.
  • Errett Bishop, Foundations of constructive analysis, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0221878
  • Leo Breiman, Probability, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1968. MR 0229267
  • J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
  • 6. A. Garsia, A simple proof of E. Hopf’s maximal ergodic theorem, J. Math. Mech. 14 (1965), 381—382. MR 35 #338. 7. J. M. Hammersley, Postulates for subadditive processes, Ann. Probability 2 (1974), 652—680. MR 51 #6947.
  • J. M. Hammersley and D. J. A. Welsh, First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory, Proc. Internat. Res. Semin., Statist. Lab., Univ. California, Berkeley, Calif., 1963., Springer-Verlag, New York, 1965, pp. 61–110. MR 0198576
  • 9. K. Yosida and S. Kakutani, Birkhoff’s ergodic theorem and the maximal ergodic theorem, Proc. Imp. Acad., Tokyo 15 (1939), 165—168. MR 1, 59. 10. J. F. C. Kingman, The ergodic theory of subadditive stochastic processes, J. Roy. Statist. Soc. Ser. B 30 (1968), 499—510. MR 40 #8114. 11. J. F. C. Kingman, Subadditive ergodic theory, Ann. Probability 1 (1973), 883—909. MR 50 #8663.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 83 (1977), 1054-1056
  • MSC (1970): Primary 60F15; Secondary 28A65
  • DOI: https://doi.org/10.1090/S0002-9904-1977-14381-4
  • MathSciNet review: 0458585