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Publications
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"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
"Functional quantization of Gaussian processes",
Journal of Functional Analysis, vol. 196, no. 2: Academic Press, pp. 486–531, December, 2002.
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 for numerics with an application to option pricing",
Monte Carlo Methods and Appl., vol. 11, no. 11, pp. 407-446, 2005.
Abstract
Download: Functional Quantization Num.pdf (531.76 KB)
Functional quantization based stratified sampling methods,
, 2010.
Abstract
Download: functional_stratif.pdf (665.41 KB)
"Functional quantization and small balls probabilities for Gaussian processes",
Journal of Theoretical Probability, vol. 16(4), 2003.
Abstract
"Fractal functional quantization of mean-regular stochastic processes",
Mathematical Proceedings of the Cambridge Philosophical Society, 2010.
Abstract
Foundations of quantization for probability distributions,
, Secaucus, NJ, USA, Springer-Verlag New York, Inc., 2000.
Abstract
"A forward–backward stochastic algorithm for quasi-linear PDEs",
Annals of Applied Probability, vol. 16(1), pp. 140-184, 2006.
Abstract
"First order schemes in the numerical quantization method",
Mathematical Finance, vol. 13, issue 1, pp. 1-16, 2003.
Abstract
Download: First Order Schmes.pdf (218.51 KB)