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Sequences with small discrepancy relative to n events. (English) Zbl 0502.10030


MSC:

11K06 General theory of distribution modulo \(1\)
60C05 Combinatorial probability
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References:

[1] J. Beck and T. Fiala : Integer-making theorems . Discr. Appl. Math. 3 (1981) 1-8. · Zbl 0473.05046 · doi:10.1016/0166-218X(81)90022-6
[2] H.G. Meijer : On a distribution problem in finite sets . Nederl. Akad. Wetensch. Indag. Math. 35 (1973) 9-17. · Zbl 0249.10024
[3] J. Spencer : Balancing games . J. Combinatorial Th. B 23 (1977) 68-74. · Zbl 0374.90088 · doi:10.1016/0095-8956(77)90057-0
[4] J. Spencer : Discrete ham sandwich theorems . European J. Combinatorics 2(1981) 291-298. · Zbl 0476.05025 · doi:10.1016/S0195-6698(81)80034-0
[5] R. Tijdeman : On a distribution problem in finite and countable sets . J. Combinatorial Th. 15 (1973) 129-137. · Zbl 0261.05001 · doi:10.1016/S0097-3165(73)80002-0
[6] R. Tijdeman : The chairman assignment problem . Discr. Math. 32 (1980) 323-330. · Zbl 0454.05006 · doi:10.1016/0012-365X(80)90269-1
[7] R. Tijdeman and M. Voorhoeve : Bounded discrepancy sets . Compositio Math. 42 (1981) 375-389. · Zbl 0425.10042
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