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Equidistribution of matrix-power residues modulo one
Author:
Joel N. Franklin
Journal:
Math. Comp. 18 (1964), 560-568
MSC:
Primary 10.33
MathSciNet review:
0172860
Full-text PDF Free Access
References |
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Additional Information
- [1]
Olga
Taussky and John
Todd, Generation and testing of pseudo-random numbers,
Symposium on Monte Carlo methods, University of Florida, 1954, John Wiley
and Sons, Inc., New York, 1956, pp. 15–28. MR 0080382
(18,239b)
- [2]
J.
N. Franklin, On the equidistribution of pseudo-random numbers,
Quart. Appl. Math. 16 (1958), 183–188. MR 0093501
(20 #25)
- [3]
Joel
N. Franklin, Deterministic simulation of random
processes, Math. Comp. 17 (1963), 28–59. MR 0149640
(26 #7125), http://dx.doi.org/10.1090/S0025-5718-1963-0149640-3
- [4]
Hermann
Weyl, Über die Gleichverteilung von Zahlen mod. Eins,
Math. Ann. 77 (1916), no. 3, 313–352 (German).
MR
1511862, http://dx.doi.org/10.1007/BF01475864
- [5]
Frédéric
Riesz, Sur la théorie ergodique, Comment. Math. Helv.
17 (1945), 221–239 (French). MR 0014218
(7,255b)
- [6]
J. F. Koksma, Diophantische Approximationen, Chelsea, New York, 1936.
- [1]
- O. Taussky & J. Todd, ``Generation of pseudo-random numbers,'' Symposium on Monte Carlo Methods, H. A. Meyer, Editor, John Wiley and Sons, New York, 1956, p. 15-18. MR 0080382 (18:239b)
- [2]
- J. N. Franklin, ``On the equidistribution of pseudo-random numbers,'' Quart. Appl. Math., v. 16, 1958, p. 183-188. MR 0093501 (20:25)
- [3]
- J. N. Franklin, ``Deterministic simulation of random processes,'' Math. Comp., v. 17, 1963, p. 28-59. MR 0149640 (26:7125)
- [4]
- H. Weyl, ``Über die Gleichverteilung von Zahlen modulo Eins,'' Math. Ann., v. 77, 1916, p. 313-352. MR 1511862
- [5]
- F. Riesz, ``Sur la théorie ergodique,'' Comment. Math. Helv., v. 17, 1945, p. 221. MR 0014218 (7:255b)
- [6]
- J. F. Koksma, Diophantische Approximationen, Chelsea, New York, 1936.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025-5718-1964-0172860-X
PII:
S 0025-5718(1964)0172860-X
Article copyright:
© Copyright 1964 American Mathematical Society
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