Spectra of Perron–Frobenius operator and new construction of two dimensional low discrepancy sequences

DOI10.1515/MCMA.2008.003zbMath1151.65006OpenAlexW1987761693MaRDI QIDQ3516795

Makoto Mori

Publication date: 11 August 2008

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/mcma.2008.003

zbMATH Keywords

Perron-Frobenius operatorlow discrepancy sequencesradius of convergencedynamical zeta functionsessential spectral radiusvan der Corput sequencehigh dimensional transformations

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Construction of two dimensional low discrepancy sequences
• Low discrepancy sequences generated by piecewise linear Maps
• Discrepancy of sequences generated by piecewise monotone maps

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