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

Mori Makoto
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Mori Makoto: Department of Mathematics, College of Humanities and Sciences, Nihon University, Japan. Email: mori@math.chs.nihon-u.ac.jp

Monte Carlo Methods and Applications, 2008, vol. 14, issue 1, 53-74

Abstract: For high dimensional transformations, the essential spectral radius of the Perron–Frobenius operator restricted to some natural space is generally smaller than the reciprocals of the radius of convergence of the dynamical zeta function. We will construct transformations whose essential spectral radius coincide with the reciprocal of the radius of convergence of the dynamical zeta functions, and construct new type of 2 dimensional low discrepancy sequences.

Keywords: Perron–Frobenius operator; low discrepancy sequences (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1515/MCMA.2008.003

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