%0 Journal Article %T Quadratic optimal functional quantization of stochastic processes and numerical applications %A Gilles Pag¨¨s %J Mathematics %D 2007 %I arXiv %R 10.1007/978-3-540-74496-2_6 %X In this paper, we present an overview of the recent developments of functional quantization of stochastic processes, with an emphasis on the quadratic case. Functional quantization is a way to approximate a process, viewed as a Hilbert-valued random variable, using a nearest neighbour projection on a finite codebook. A special emphasis is made on the computational aspects and the numerical applications, in particular the pricing of some path-dependent European options. %U http://arxiv.org/abs/0706.4450v1