Book Review
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MathSciNet review:
1567028
Full text of review:
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Book Information:
Authors:
Arunava Mukherjea and
Nicholas A. Tserpes
Title:
Measures on topological semigroups : Convolution products and random walks
Additional book information:
Lecture Notes in Math., no. 547, Springer-Verlag, Berlin, Heidelberg, New York, 1976, iv + 197 pp., $10.20.
K. L. Chung and W. H. J. Fuchs, On the distribution of values of sums of random variables, Mem. Amer. Math. Soc. 6 (1951), 12. MR 40610
Göran Högnäs, Marches aléatoires sur un demi-groupe compact, Ann. Inst. H. Poincaré Sect. B (N.S.) 10 (1974), 115–154 (French). MR 0368166
H. Kesten and F. Spitzer, Random walk on countably infinite Abelian groups, Acta Math. 114 (1965), 237–265. MR 195163, DOI 10.1007/BF02391823
Jean Larisse, Marches au hasard sur les demi-groupes discrets. I, II, Ann. Inst. H. Poincaré Sect. B (N.S.) 8 (1972), 107–125; ibid. (N.S.) 8 (1972), 127–173 (French). MR 0307351
G. C. Papanicolaou and S. R. S. Varadhan, A limit theorem with strong mixing in Banach space and two applications to stochastic differential equations, Comm. Pure Appl. Math. 26 (1973), 497–524. MR 383530, DOI 10.1002/cpa.3160260405
Sidney C. Port and Charles J. Stone, Potential theory of random walks on Abelian groups, Acta Math. 122 (1969), 19–114. MR 261706, DOI 10.1007/BF02392007
Murray Rosenblatt, Markov processes. Structure and asymptotic behavior, Die Grundlehren der mathematischen Wissenschaften, Band 184, Springer-Verlag, New York-Heidelberg, 1971. MR 0329037
- 1.
- K. L. Chung and W. J. Fuchs, On the distribution of values of sums of random variables, Mem. Amer. Math. Soc. No. 6 (1951). MR 0040610
- 2.
- G. Högnas, Marches aléatoires sur un demigroupe compact, Ann. Inst. H. Poincaré Sect. B, 10 (1974), 115-154. MR 368166
- 3.
- H. Kesten and F. Spitzer, Random walks on countably infinite Abelian groups, Acta Math. 114 (1965), 237-265. MR 195163
- 4.
- J. Larisse, Marches au hasard sur les demi-groupes discrets. I, II, Ann. Inst. H. Poincaré 8 (1972), 107-175. MR 307351
- 5.
- G. C. Papanicolaou and S. R. S. Varadhan, A limit theorem with strong mixing in Banach space and two applications to stochastic differential equations, Comm. Pure Appl. Math. 26 (1973), 497-524. MR 383530
- 6.
- S. C. Port and C. J. Stone, Potential theory of random walks on Abelian groups, Acta Math. 122 (1969), 19-114. MR 261706
- 7.
- M. Rosenblatt, Markov Processes: Structure and asymptotic behavior, Springer-Verlag, New York, 1971. MR 329037
Review Information:
Reviewer:
Murray Rosenblatt
Journal:
Bull. Amer. Math. Soc.
84 (1978), 104-107
DOI:
https://doi.org/10.1090/S0002-9904-1978-14422-X