The Modified Algorithm of Jacobi-Perron PDF Download

Author: Robert Berger
Publisher: American Mathematical Soc.
ISBN: 082181267X
Category : Algorithms
Languages : en
Pages : 48

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Author: Leon Bernstein
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 52

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Author: L. Bernstein
Publisher: Springer
ISBN: 3540366652
Category : Mathematics
Languages : en
Pages : 165

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Author: F. Schweiger
Publisher: Springer
ISBN: 3540470107
Category : Mathematics
Languages : en
Pages : 117

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Author: Fritz Schweiger
Publisher: Oxford University Press, USA
ISBN: 9780198506867
Category : Mathematics
Languages : en
Pages : 250

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Book Description
Mathematician Fritz Schweiger, whose academic affiliation is not provided, provides an introduction to a field of research that has seen remarkable progress in recent decades, concentrating on multidimensional continued fractions which can be described by fractional linear maps or equivalently by a set of (n + 1) x (n + 1) matrices. Addressing the question of periodicity, he refines the problem of convergence to the question of whether these algorithms give "good" simultaneous Diophantine approximations. He notes that these algorithms are not likely to provide such "good" approximations which satisfy the n-dimensional Dirichlet property. Also studied are the ergodic properties of these maps. Annotation copyrighted by Book News Inc., Portland, OR

Author: N. Pytheas Fogg
Publisher: Springer
ISBN: 3540457143
Category : Mathematics
Languages : en
Pages : 411

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Book Description
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure. The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 224

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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 224

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Author: Y. Takahashi
Publisher: Springer Science & Business Media
ISBN: 1461303214
Category : Mathematics
Languages : en
Pages : 222

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Book Description
In 1992 two successive symposia were held in Japan on algorithms, fractals and dynamical systems. The first one was Hayashibara Forum '92: International Symposium on New Bases for Engineering Science, Algorithms, Dynamics and Fractals held at Fujisaki Institute of Hayashibara Biochemical Laboratories, Inc. in Okayama during November 23-28 in which 49 mathematicians including 19 from abroad participated. They include both pure and applied mathematicians of diversified backgrounds and represented 11 coun tries. The organizing committee consisted of the following domestic members and Mike KEANE from Delft: Masayosi HATA, Shunji ITO, Yuji ITO, Teturo KAMAE (chairman), Hitoshi NAKADA, Satoshi TAKAHASHI, Yoichiro TAKAHASHI, Masaya YAMAGUTI The second one was held at the Research Institute for Mathematical Science at Kyoto University from November 30 to December 2 with emphasis on pure mathematical side in which more than 80 mathematicians participated. This volume is a partial record of the stimulating exchange of ideas and discussions which took place in these two symposia.

Author: Juhani Karhumäki
Publisher: Springer
ISBN: 3642405797
Category : Computers
Languages : en
Pages : 271

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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Combinatorics on Words, WORDS 2013, held in Turku, Finland, in September 2013 under the auspices of the EATCS. The 20 revised full papers presented were carefully reviewed and selected from 43 initial submissions. The central topic of the conference is combinatorics on words (i.e. the study of finite and infinite sequence of symbols) from varying points of view, including their combinatorial, algebraic and algorithmic aspects, as well as their applications.