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Publications
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"Least squares quantization in PCM",
Information Theory, IEEE Transactions on, vol. 28, no. 2, pp. 129–137, 1982.
Abstract
"Quantization for probability measures in the Prokhorov metric",
Theory Probab. Appl., vol. 53, pp. 216-241, 2009.
Abstract
"Asymptotically optimal quantization schemes for Gaussian processes",
ESAIM: PS, vol. 14, pp. 93 - 116, 2010.
Abstract
"Sharp asymptotics of the Kolmogorov entropy for Gaussian measures",
Journal of Functional Analysis, vol. 212, no. 1, pp. 89 - 120, 2004.
Abstract
"Asymptotics of the quantization errors for self-similar probabilities",
Real Analysis Exchange 26, vol. 26(2), pp. 795-810, 2001.
"Quantization for probability measures with respect to the geometric mean error",
Math. Proc. Cambridge Phil. Soc., vol. 136, pp. 687-717, 2004.
"Functional quantization rate and mean pathwise regularity of processes with an application to Lévy processes",
Annals of Applied Probability, vol. 18, pp. 427-469, 2008.
Abstract
Sharp asymptotics of the functional quantization problem for Gaussian processes,
, vol. 32, no. 2, 2004.
Abstract
"The quantization of the Cantor distribution",
Math. Nachrichten, vol. 183, pp. 113-133, 1997.
Abstract
"Rates of convergence for the empirical quantization error",
Ann. Probab., vol. 30, pp. 874- 897, 2002.
"Entropy-constrained functional quantization of Gaussian measures",
Proceedings AMS, vol. 133, pp. 3403-3409 , 2005.
Abstract
"Fractal functional quantization of mean-regular stochastic processes",
Mathematical Proceedings of the Cambridge Philosophical Society, 2010.
Abstract
"Functional quantization of a class of Brownian diffusions: a constructive approach",
Stochastic Processes and their Applications, vol. 116, no. 2, pp. 310 - 336, 2006.
Abstract
"Functional quantization of Gaussian processes",
Journal of Functional Analysis, vol. 196, no. 2: Academic Press, pp. 486–531, December, 2002.
Abstract
"The quantization dimension of self-similar probabilities",
Math. Nachrichten, vol. 241, pp. 103-109 , 2002.
"The point density measure in the quantization of self-similar probabilities",
Math. Proc. Cambridge Phil. Soc. , vol. 138, pp. 513-531, 2005.