Publications

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2014
2010
2009
Harald Luschgy, and Siegfried Graf, "Quantization for probability measures in the Prokhorov metric", Theory of Probability and Its Applications, vol. 53, pp. 216-241, 2009. Abstract
2008
2007
Siegfried Graf, Harald Luschgy, and Gilles Pagès, "Optimal quantizers for Radon random vectors in a Banach space", Journal of Approximation Theory, vol. 144, no. 1, Orlando, FL, USA, Academic Press, Inc., pp. 27–53, 2007. Abstract
2006
2005
Harald Luschgy, and Siegfried Graf, "The point density measure in the quantization of self-similar probabilities", Mathematical Proceedings of the Cambridge Philosophical Society, vol. 138, pp. 513-531, 2005.
2004
Harald Luschgy, and Siegfried Graf, "Quantization for probability measures with respect to the geometric mean error", Mathematical Proceedings of the Cambridge Philosophical Society, vol. 136, pp. 687-717, 2004.
Harald Luschgy, and Gilles Pagès, "Sharp asymptotics of the functional quantization problem for Gaussian processes", Annals of Probability, vol. 32, issue 2, no. 2, pp. 1574-1599, 2004. 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
2003
Siegfried Graf, Harald Luschgy, and Gilles Pagès, "Functional quantization and small balls probabilities for Gaussian processes", Journal of Theoretical Probability, vol. 16, issue 4, pp. 1047-1062, 2003. Abstract
2002
Harald Luschgy, and Gilles Pagès, "Functional quantization of Gaussian processes", Journal of Functional Analysis, vol. 196, no. 2: Academic Press, pp. 486–531, December, 2002. Abstract
Harald Luschgy, and Siegfried Graf, "The quantization dimension of self-similar probabilities", Mathematische Nachrichten, vol. 241, pp. 103-109, 2002.
Harald Luschgy, and Siegfried Graf, "Rates of convergence for the empirical quantization error", Annals of Probability, vol. 30, pp. 874-897, 2002.
2001
Harald Luschgy, and Siegfried Graf, "Asymptotics of the quantization errors for self-similar probabilities", Real Analysis Exchange 26, vol. 26, issue 2, pp. 795-810, 2001.
2000
Siegfried Graf, and Harald Luschgy, "Foundations of quantization for probability distributions", Lecture notes in mathematics, Secaucus, NJ, USA, Springer-Verlag New York, Inc., 2000. Abstract
1997
Harald Luschgy, and Siegfried Graf, "The quantization of the Cantor distribution", Mathematische Nachrichten, vol. 183, pp. 113-133, 1997. Abstract