• Title of article

    The coding complexity of diffusion processes under supremum norm distortion

  • Author/Authors

    S. Dereich، نويسنده , , Steffen، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    21
  • From page
    917
  • To page
    937
  • 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 L p [ 0 , 1 ] -norm distortion.
  • Keywords
    High resolution quantization , Complexity , stochastic differential equations , Stochastic processes
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2008
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1577983