Download or read book The Modified Algorithm of Jacobi Perron written by Robert Berger and published by American Mathematical Soc.. This book was released on 1966 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Modified Algorithm of Jacobi Perron written by Leon Bernstein and published by . This book was released on 1966 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of results 1. The general algorithm of $n - 1$ numbers 2. The modified algorithm of Jacobi-Perron 3. Roots of a real-valued $M$ 4. Convergence of real-valued $M$ 5. Ideal convergence and irreducibility 6. General convergence and units of algebraic fields 7. An explicit formula for $A^{(v)}_0$
Download or read book The Jacobi Perron Algorithm written by L. Bernstein and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Modified Algorithm of Jacobi Perron written by Leon Bernstein and published by . This book was released on 1966 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Metrical Theory of Jacobi Perron Algorithm written by F. Schweiger and published by Springer. This book was released on 2006-11-15 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multidimensional Continued Fractions written by Fritz Schweiger and published by Oxford University Press, USA. This book was released on 2000 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Substitutions in Dynamics Arithmetics and Combinatorics written by N. Pytheas Fogg and published by Springer. This book was released on 2003-10-24 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1965 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1965 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms Fractals and Dynamics written by Y. Takahashi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Combinatorics on Words written by Juhani Karhumäki and published by Springer. This book was released on 2013-08-15 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multi dimensional Continued Fraction Algorithms written by A. J. Brentjes and published by . This book was released on 1981 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamical Systems From Crystal To Chaos Conference In Honor Of Gerard Rauzy On His 60th Birthday written by J-m Gambaudo and published by World Scientific. This book was released on 2000-07-20 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and their multidimensional generalizations, geodesic and horocycle flow, adic systems; (2) dynamical systems: geometry and chaos, with special interest in smooth ergodic theory, statistical and multifractal properties of chaotic systems, stability and turbulence in extended complex systems.
Download or read book Substitution and Tiling Dynamics Introduction to Self inducing Structures written by Shigeki Akiyama and published by Springer Nature. This book was released on 2020-12-05 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions on recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings.
Download or read book Women in Numbers Europe IV written by Ramla Abdellatif and published by Springer Nature. This book was released on with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sequences and Their Applications SETA 2006 written by Guang Gong and published by Springer Science & Business Media. This book was released on 2006-09-13 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Sequences and Their Applications, SETA 2006. The book presents 32 revised full papers together with 4 invited lectures. The papers are organized in topical sections on linear complexity of sequences, correlation of sequences, stream ciphers and transforms, topics in complexities of sequences, multi-sequence synthesis, sequences and combinatorics, FCSR sequences, aperiodic correlation and applications, and boolean functions, and more.
Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1984 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt:
