Hosted by cogitel-forum. |
Publications
Filters: Author is Gilles Pagès [Clear All Filters]
"Méthodes de quantification optimale pour le filtrage et applications à la finance",
Applied mathematics: Université Paris Dauphine, 2005.
Abstract
Download: PhD_AfefSELLAMI.pdf (1.35 MB)Introduction_Sellami.pdf (248.72 KB)
Convergence of multi-dimensional quantized SDE's,
, 2010.
Abstract
Download: Pages_Sellami_Quantized_SDE.pdf (356.05 KB)
"An optimal Markovian quantization algorithm for multidimensional stochastic control problems",
Stochastics and Dynamics, vol. 4(4), pp. 501-545, 2004.
Abstract
"Optimal quantization for Finance: from random vectors to stochastic processes",
Handbook of Numerical Analysis, vol. 15, 2008.
Abstract
Download: Handbook_2008_Quantization_in_finance.pdf (478.77 KB)
"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
"Pricing path-dependent options using optimized functional quantization",
Numerical Methods in Finance, 2006.
Download: Pricing Path Dependent Option Using Functional Quantization.pdf (762.71 KB)
"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)
"Optimal quantization methods for nonlinear filtering with discrete-time observations",
Bernoulli, vol. 11(5), 2005.
Abstract
Intrinsic stationarity for vector quantization: Foundation of dual quantization,
, 2010.
Abstract
Download: Foundation of dual quantization.pdf (962.7 KB)
"Optimal quadratic quantization for numerics: the Gaussian case",
Monte Carlo Methods and Applications, vol. 9, pp. 135–166, 2003.
Abstract
Download: Gaussian Case.pdf (563.34 KB)
"Functional quantization of Gaussian processes",
Journal of Functional Analysis, vol. 196, no. 2: Academic Press, pp. 486–531, December, 2002.
Abstract
"Fractal functional quantization of mean-regular stochastic processes",
Mathematical Proceedings of the Cambridge Philosophical Society, 2010.
Abstract
"Asymptotically optimal quantization schemes for Gaussian processes",
ESAIM: PS, vol. 14, pp. 93 - 116, 2010.
Abstract
"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
"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
"Sharp asymptotics of the Kolmogorov entropy for Gaussian measures",
Journal of Functional Analysis, vol. 212, no. 1, pp. 89 - 120, 2004.
Abstract