The quantization complexity of diffusion processes

Details The quantization complexity of diffusion processes The quantization complexity of diffusion processes

2004-11-26

arxiv.org/abs/math/0411597v1

Mathematics

Probability

31 pages

Scientific paper

We investigate the high resolution coding problem for solutions of stochastic differential equations in the L^p[0,1]- and the C[0,1]-space. Tight asymptotic estimates are found under weak regularity assumptions. The main technical tool is a decoupling method which allows us to relate the complexity of the diffusion process to that of the Wiener process under certain random distortions.

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