Name: Multidimensional Continued Fractions (en Inglés)
SKU: 18974943
Price: 441.27 USD
Availability: InStock
Author: Fritz Schweiger

portada Multidimensional Continued Fractions (en Inglés)

Multidimensional Continued Fractions (en Inglés)

Formato

Libro Físico

Editorial

Oxford University Press

Autor

Fritz Schweiger

Año

2000

Idioma

Inglés

N° páginas

248

Encuadernación

Tapa Dura

ISBN

0198506864

ISBN13

9780198506867

N° edición

Categorías

Matemáticas

Multidimensional Continued Fractions (en Inglés)

Fritz Schweiger (Autor) · Oxford University Press · Tapa Dura

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Reseña del libro "Multidimensional Continued Fractions (en Inglés)"

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.