Skip to main content
Article
Licensed
Unlicensed Requires Authentication

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

Published/Copyright: May 26, 2008
Monte Carlo Methods and Applications
From the journal Volume 14 Issue 1

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.

Received: 2008-01-16
Revised: 2008-03-15
Published Online: 2008-05-26
Published in Print: 2008-May

© de Gruyter 2008

Downloaded on 23.4.2026 from https://www.degruyterbrill.com/document/doi/10.1515/MCMA.2008.003/html?lang=en
Scroll to top button