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portada Multidimensional Continued Fractions (in English)
Type
Physical Book
Publisher
Year
2000
Language
English
Pages
248
Format
Hardcover
ISBN
0198506864
ISBN13
9780198506867
Edition No.
1
Categories

Multidimensional Continued Fractions (in English)

Fritz Schweiger (Author) · Oup Oxford · Hardcover

Multidimensional Continued Fractions (in English) - Fritz Schweiger

Physical Book

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Synopsis "Multidimensional Continued Fractions (in English)"

The book gives an up to date 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, Güting, 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 therefore investigated by methods of ergodic theory. The recent connection between multiplicative ergodic theory and Diophantine approximation presented, as well as several results on convergence and Perron's approach to periodicity, which has never appeared in book despite being published in 1907. Further chapters include the basic properties of continued fractions in the complex plane, connections with Hausdorff dimension and the Kuzmin theory for multidimensional maps.

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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.

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