The distribution of Mahler's measures of reciprocal polynomials.
Sinclair, Christopher D. (2004)
International Journal of Mathematics and Mathematical Sciences
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Sinclair, Christopher D. (2004)
International Journal of Mathematics and Mathematical Sciences
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Su, Zhonggen (2006)
Electronic Journal of Probability [electronic only]
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Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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Lasoń, Michał (2010)
The Electronic Journal of Combinatorics [electronic only]
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De Malafosse, Bruno (2003)
International Journal of Mathematics and Mathematical Sciences
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Díaz-Barrero, José Luis, Egozcue, Juan José (2004)
Applied Mathematics E-Notes [electronic only]
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Abdul Halim, S. (2003)
International Journal of Mathematics and Mathematical Sciences
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De Malafosse, Bruno (2004)
International Journal of Mathematics and Mathematical Sciences
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Siegfried Graf, Harald Luschgy, Gilles Pagès (2008)
ESAIM: Probability and Statistics
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We elucidate the asymptotics of the -quantization error induced by a sequence of -optimal -quantizers of a probability distribution on when . In particular we show that under natural assumptions, the optimal rate is preserved as long as (and for every in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on and on the Wiener space.