Ratio limit theorems for random walks on groups
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- by Charles Stone
- Trans. Amer. Math. Soc. 125 (1966), 86-100
- DOI: https://doi.org/10.1090/S0002-9947-1966-0217887-2
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References
- K. L. Chung and P. Erdös, Probability limit theorems assuming only the first moment. I, Mem. Amer. Math. Soc. 6 (1951), 19. MR 40612 E. Hewitt and K. A. Ross, Abstract harmonic analysis, Academic Press, New York, 1963.
- John G. Kemeny, A probability limit theorem requiring no moments, Proc. Amer. Math. Soc. 10 (1959), 607–612. MR 107292, DOI 10.1090/S0002-9939-1959-0107292-3
- Harry Kesten, Ratio theorems for random walks. II, J. Analyse Math. 11 (1963), 323–379. MR 163365, DOI 10.1007/BF02789990
- Jacques Neveu, Sur le théorème ergodique de Chung-Erdős, C. R. Acad. Sci. Paris 257 (1963), 2953–2955 (French). MR 159362 D. Ornstein, A limit theorem for independent random variables, (unpublished). S. Port and C. J. Stone, Limit theorems on hitting times for random walks on groups, (to appear).
- Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834 C. J. Stone, Local and ratio limit theorems, Proc. Fifth Berkeley Sympos. on Prob. and Stat., (to appear).
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 125 (1966), 86-100
- MSC: Primary 60.66
- DOI: https://doi.org/10.1090/S0002-9947-1966-0217887-2
- MathSciNet review: 0217887