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Multidimensional Continued Fractions
Fritz Schweiger
[PDF.jt37] Multidimensional Continued Fractions
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| #12863014 in Books | 2000-10-13 | Original language:English | PDF # 1 | 9.10 x.70 x6.10l,1.06 | File type: PDF | 248 pages||||"It is thanks to F. Schweiger that the extensive literature on multidimensional continued fractions, especially those which can be described by fractional linear maps can now be seen from a more systematic point of view and it is thanks to the publishing comp
This work offers an overview of various aspects of multidimensional continued fractions, which are here defined through iteration of piecewise fractional linear maps. This includes the algorithms of Jacobi-Perron, Guting, Brun, and Selmer but it also includes continued fractions on simplices which are related to interval exchange maps or the Parry-Daniels map. New classes of subtractive algorithms are also included and the metric properties of these algorithms can be the...
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