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Discrepancy of van der Corput sequences generated by piecewise linear transformations
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Yuko Ichikawa
Published/Copyright:
2004
Discrepancy of van der Corput sequences constructed by piecewise linear transformations with same slope β > 1 is discussed. If there is no eigenvalues of the Perron-Frobenius operator associated with the dynamical system in |z| > 1/β except 1, the discrepancy equals (logN)k+1/N, where k is the number of the non-Markov endpoints.
Published Online: --
Published in Print: 2004-06-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
- Exact simulation of nonlinear coagulation processes
- Discrepancy of van der Corput sequences generated by piecewise linear transformations
- Monte Carlo variance reduction in applications to Systems Reliability using Phase Space Splitting
- Approximating and Simulating Multivalued Stochastic Differential Equations
- Numerical Modeling of Large Scale Transport of Contminant Solutes Using the Global Random Walk Algorithm
- Editorial Board
