Probability methods in the theory of distributions modulo one

J. H. B. Kemperman

Compositio Mathematica (1964)

  • Volume: 16, page 106-137
  • ISSN: 0010-437X

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Kemperman, J. H. B.. "Probability methods in the theory of distributions modulo one." Compositio Mathematica 16 (1964): 106-137. <http://eudml.org/doc/88884>.

@article{Kemperman1964,
author = {Kemperman, J. H. B.},
journal = {Compositio Mathematica},
language = {eng},
pages = {106-137},
publisher = {Kraus Reprint},
title = {Probability methods in the theory of distributions modulo one},
url = {http://eudml.org/doc/88884},
volume = {16},
year = {1964},
}

TY - JOUR
AU - Kemperman, J. H. B.
TI - Probability methods in the theory of distributions modulo one
JO - Compositio Mathematica
PY - 1964
PB - Kraus Reprint
VL - 16
SP - 106
EP - 137
LA - eng
UR - http://eudml.org/doc/88884
ER -

References

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  1. Cassels, J.W.S. [1] An extension of the law of the iterated logarithm, Proc. Cambridge Philos. Soc.47 (1951) 55-64. Zbl0042.13704MR40614
  2. Cigler, J. [2] Asymptotische Verteilung reeller Zahlen mod 1, Monatshefte für Math.64 (1960) 201-225. Zbl0111.25301MR121358
  3. Cigler, J. [8] Der Individuelle Ergodensatz in der Theorie der Gleichverteilung mod 1, J. reine angew. Math.205 (1960) 91-100. Zbl0131.29301MR176973
  4. Cigler, J. [4] Über eine Verallgemeinerung des Hauptsatzes der Theorie der Gleichverteilung, J. reine angew. Math.210 (1962) 141-147. Zbl0117.28402MR140859
  5. Cigler, J. und Helmberg, J. [5] Neuere Entwicklungen der Theorie der Gleichverteilung, Jahresber. Deutschen Math. Ver.64 (1961) 1— 50. Zbl0109.03404
  6. Corput, J. G. Van Der [6] Diophantische Ungleichungen I, Zur Gleichverteilung Modulo Eins, Acta Math.56 (1981) 373-456. Zbl0001.20102JFM57.0230.05
  7. Doob, J. [7] Stochastic processes, John Wiley and Sons, New York, 1958. Zbl0696.60003MR58896
  8. Feller, W. [8] The general form of the so-called law of the iterated logarithm, Trans. Amer. Math. Soc.54 (1948) 373-402. Zbl0063.08417MR9263
  9. Hlawka, E. [9] Zur formalen Theorie der Gleichverteilung in kompakten Gruppen, Rend. Circ. Mat. Palermo Ser. II, 4 (1955) 1-15. Zbl0065.26402MR74489
  10. Hlawka, E. [10] Folgen auf kompakten Räumen, Abh. math. Sem. Univ. Hamburg20 (1956) 228-241. Zbl0072.05701MR81368
  11. Kac, M. [11] Probability methods in some problems of analysis and number theory, Bull. Amer. Math. Soc.55 (1949) 641-665. Zbl0036.30502MR31504
  12. Kemperman, J.H.B. [12] On the distribution of a sequence in a compact group, this journal. Zbl0131.27004
  13. Kesten, H., [18] Uniform distribution mod 1, Annals Math.71 (1960) 445-471. Zbl0101.03803MR113864
  14. Kesten, H. [14] Uniform distribution mod 1, II, Acta Arith.7 (1961) 855-860. Zbl0113.27004MR142532
  15. Khintchin, A.I. [15] Mathematical foundations of information theory, Dover Publ., New York, 1957. Zbl0088.10404
  16. Loève, M. [16] Probability Theory, 2nd ed., D. van Nostrand Co., Princeton, 1960. Zbl0095.12201MR123342
  17. Lorentz, G.G. [17] A contribution to the theory of divergent series, Acta Math.80 (1948) 167-190. Zbl0031.29501MR27868
  18. Pyateckii-Šapiro, I.I. [18] On the laws of distribution of the fractional parts of an exponential function, Izv. Akad. Nauk SSSR Ser. Mat.15 (1951) 47-52. Zbl0042.04902MR43145
  19. Stapleton, J.H. [19] Asymptotic distributions modulo 1 and its extension to abstract spaces, Thesis, Purdue University, 1957. 
  20. Wall, D.D. [20] Normal numbers, Thesis, University of California, Berkeley, 1949. 

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