On occupation times for Markoff processes

Authors:
D. A. Darling and M. Kac

Journal:
Trans. Amer. Math. Soc. **84** (1957), 444-458

MSC:
Primary 60.0X

DOI:
https://doi.org/10.1090/S0002-9947-1957-0084222-7

MathSciNet review:
0084222

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References | Similar Articles | Additional Information

**[1]**W. Feller,*Fluctuation theory of recurrent events*, Trans. Amer. Math. Soc. vol. 67 (1949) pp. 98-119. MR**0032114 (11:255c)****[2]**K. L. Chung and M. Kac,*Remarks on fluctuations of sums of independent random variables*, Memoirs of the American Mathematical Society, No. 6, 1951, 11 pp. MR**0040611 (12:722f)****[3]**G. Kallianpur and H. Robbins,*Ergodic property of the Brownian motion process*, Proc. Nat. Acad. Sci. U.S.A. vol. 39 (1953) pp. 525-533. MR**0056233 (15:44g)****[4]**-,*The sequence of sums of independent random variables*, Duke Math. J. vol. 21 (1954) pp. 285-307. MR**0062976 (16:52e)****[5]**H. Pollard,*The completely monotonic character of the Mittag-Leffler function*, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 1115-1116. MR**0027375 (10:295e)****[6]**R. L. Dobrusin,*Two limit theorems for the simplest random walk on a line*, Uspehi Matematičiskih Nauk (N.S.) vol. 10 (1955) pp. 139-146. MR**0071662 (17:166b)**

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DOI:
https://doi.org/10.1090/S0002-9947-1957-0084222-7

Article copyright:
© Copyright 1957
American Mathematical Society