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June 2009 Some Dynamic Properties of the Modified Negative Slope Algorithm
Tokyo J. Math. 32(1): 55-80 (June 2009). DOI: 10.3836/tjm/1249648409


S. Ferenczi and L. F. C. da Rocha introduced an algorithm which is slightly different form of the negative slope algorithm as the normalized multiplicative algorithm deduced from three interval exchange transformations. It has the form that the ceiling value is taken in the case of \( x+y > 1 \). We call this algorithm as the ``modified negative slope algorithm''. In this paper, the author shows that the modified negative slope algorithm is weak Bernoulli with respect to the absolutely continuous invariant measure and gives an algebraic characterization of periodic orbits of this algorithm using the natural extension method.


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Koshiro ISHIMURA. "Some Dynamic Properties of the Modified Negative Slope Algorithm." Tokyo J. Math. 32 (1) 55 - 80, June 2009.


Published: June 2009
First available in Project Euclid: 7 August 2009

zbMATH: 1250.37007
MathSciNet: MR2541154
Digital Object Identifier: 10.3836/tjm/1249648409

Rights: Copyright © 2009 Publication Committee for the Tokyo Journal of Mathematics

Vol.32 • No. 1 • June 2009
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