The differentiability of transition functions

Ornstein, Donald

doi:10.1090/S0002-9904-1960-10381-3

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 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The differentiability of transition functions
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Bull. Amer. Math. Soc. 66 (1960), 36-39

References

Donald G. Austin, On the existence of the derivative of Markoff transition probability functions, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 224–226. MR 70095, DOI 10.1073/pnas.41.4.224
Donald G. Austin, Some differentiation properties of Markoff transition probability functions, Proc. Amer. Math. Soc. 7 (1956), 751–761. MR 81582, DOI 10.1090/S0002-9939-1956-0081582-2
J. L. Doob, Topics in the theory of Markoff chains, Trans. Amer. Math. Soc. 52 (1942), 37–64. MR 6633, DOI 10.1090/S0002-9947-1942-0006633-7
A. N. Kolmogorov, On the differentiability of the transition probabilities in stationary Markov processes with a denumberable number of states, Moskov. Gos. Univ. Učenye Zapiski Matematika 148(4) (1951), 53–59 (Russian). MR 0050210

Additional Information

Journal: Bull. Amer. Math. Soc. 66 (1960), 36-39
DOI: https://doi.org/10.1090/S0002-9904-1960-10381-3
MathSciNet review: 0119255