Article ID Journal Published Year Pages File Type
1156314 Stochastic Processes and their Applications 2008 21 Pages PDF
Abstract

We investigate the high resolution quantization and entropy coding problem for solutions of stochastic differential equations under supremum norm distortion. Tight asymptotic formulas are found under mild 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. The technique is also applicable when considering the Lp[0,1]Lp[0,1]-norm distortion.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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