Performance of Chaotic Monte Carlo Computation and Chaos Codes for Communications: Theory and Experiments
- Conference date: 21–24 September 2010
- Location: Alberta, (Canada)
A class of integrands which admit chaos‐based Monte Carlo integration with O(1/N) mean error (superefficiency) [Umeno, K. (2000) Jpn. J. Appl. Phys., 39, 1442–1456] is completely characterized in terms of Lebesgue spectrum of ergodic dynamical systems. This Lebesgue spectrum characterization enables us to have general superefficiency for general integrand in chaotic Monte Carlo computation.
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