Publications

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Journal Article
Siegfried Graf, Harald Luschgy, and Gilles Pagès, "Optimal quantizers for Radon random vectors in a Banach space", J. Approx. Theory, vol. 144, no. 1, Orlando, FL, USA, Academic Press, Inc., pp. 27–53, 2007. Abstract
Harald Luschgy, and Siegfried Graf, "The point density measure in the quantization of self-similar probabilities", Math. Proc. Cambridge Phil. Soc. , vol. 138, pp. 513-531, 2005.
Afef Sellami, "Quantization based filtering method using first order approximation", SIAM journal on numerical analysis, vol. 47, issue 6, pp. 4711-4734 , 2010. Abstract
Harald Luschgy, and Siegfried Graf, "The quantization dimension of self-similar probabilities", Math. Nachrichten, vol. 241, pp. 103-109 , 2002.
Harald Luschgy, and Siegfried Graf, "Quantization for probability measures with respect to the geometric mean error", Math. Proc. Cambridge Phil. Soc., vol. 136, pp. 687-717, 2004.
Harald Luschgy, and Siegfried Graf, "The quantization of the Cantor distribution", Math. Nachrichten, vol. 183, pp. 113-133, 1997. Abstract
Harald Luschgy, and Gilles Pagès, "Sharp asymptotics of the Kolmogorov entropy for Gaussian measures", Journal of Functional Analysis, vol. 212, no. 1, pp. 89 - 120, 2004. Abstract
Gilles Pagès, "A space quantization method for numerical integration", J. Comput. Appl. Math., vol. 89, no. 1, Amsterdam, The Netherlands, Elsevier Science Publishers B. V., pp. 1–38, 1998. Abstract
Vlad Bally, Gilles Pagès, and Jacques Printems, "A stochastic quantization method for nonlinear problems", Monte Carlo Methods and Applications, vol. 7(1), pp. 21-34, 2001. Abstract
Conference Paper
Book
Siegfried Graf, and Harald Luschgy, Foundations of quantization for probability distributions, , Secaucus, NJ, USA, Springer-Verlag New York, Inc., 2000. Abstract