The Metrical Theory Of Jacobi Perron Algorithm
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Metrical Theory Of Jacobi Perron Algorithm
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Author : Fritz Schweiger
language : en
Publisher:
Release Date : 1973
Metrical Theory Of Jacobi Perron Algorithm written by Fritz Schweiger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
The Metrical Theory Of Jacobi Perron Algorithm
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Author : F. Schweiger
language : en
Publisher:
Release Date : 2014-01-15
The Metrical Theory Of Jacobi Perron Algorithm written by F. Schweiger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Beweismethoden Der Differentialgeometric Im Grossen
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Author :
language : en
Publisher:
Release Date : 1973
Beweismethoden Der Differentialgeometric Im Grossen written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Algorithms categories.
The Metrical Theory Of Jacobi Perron Algorithm
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Author : F. Schweiger
language : en
Publisher: Springer
Release Date : 2006-11-15
The Metrical Theory Of Jacobi Perron Algorithm written by F. Schweiger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Women In Numbers Europe Iv
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Author : Ramla Abdellatif
language : en
Publisher: Springer Nature
Release Date : 2024-08-07
Women In Numbers Europe Iv written by Ramla Abdellatif and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-07 with Mathematics categories.
This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry. Research in this volume arises from or is connected with the Women in Numbers Europe (WiNE) IV conference held in summer 2022 in Utrecht, The Netherlands. The contents of this volume are of interest to professional mathematicians, graduate students, and researchers working in number theory, arithmetic geometry, and related areas.
Substitutions In Dynamics Arithmetics And Combinatorics
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Author : N. Pytheas Fogg
language : en
Publisher: Springer
Release Date : 2003-10-24
Substitutions In Dynamics Arithmetics And Combinatorics written by N. Pytheas Fogg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-24 with Mathematics categories.
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.
Dynamical Systems And Statistical Mechanics
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Author : I͡Akov Grigorʹevich Sinaĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Dynamical Systems And Statistical Mechanics written by I͡Akov Grigorʹevich Sinaĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Dynamical systems and statistical mechanics have been developing in close interaction during the past decade, and the papers in this book attest to the productiveness of this interaction. The first paper in the collection contains a new result in the theory of quantum chaos, a burgeoning line of inquiry which combines mathematics and physics and which is likely in time to produce many new connections and applications. Another paper, related to the renormalization group method for the study of maps of the circle with singularities due to a jump in the derivative, demonstrates that the fixed point of the renormgroup can in this case be sufficiently described. In certain situations, the renormgroup methods work better than the traditional KAM method. Other topics covered include: thermodynamic formalism for certain infinite-dimensional dynamical systems, numerical simulation of dynamical systems with hyperbolic behaviour, periodic points of holomorphic maps, the theory of random media, statistical properties of the leading eigenvalue in matrix ensembles of large dimension, spectral properties of the one-dimensional Schrodinger operator. This volume will appeal to many readers, as it covers a broad range of topics and presents a view of some of the frontier research in the Soviet Union today.
Multidimensional Continued Fractions
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Author : Fritz Schweiger
language : en
Publisher: Oxford University Press, USA
Release Date : 2000
Multidimensional Continued Fractions written by Fritz Schweiger and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
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.
Geometry Of Continued Fractions
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Author : Oleg N. Karpenkov
language : en
Publisher: Springer Nature
Release Date : 2022-05-28
Geometry Of Continued Fractions written by Oleg N. Karpenkov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-28 with Mathematics categories.
This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.
Progress In Cryptology Africacrypt 2011
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Author : Abderrahmane Nitaj
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-22
Progress In Cryptology Africacrypt 2011 written by Abderrahmane Nitaj and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-22 with Business & Economics categories.
This book constitutes the refereed proceedings of the 4th International Conference on the Theory and Application of Cryptographic Techniques in Africa, AFRICACRYPT 2011, held in Dakar, Senegal, in July 2011. The 23 papers presented together with abstracts of 3 invited talks were carefully reviewed and selected from 76 submissions. They are organized in topical sections on protocols, cryptanalysis, secret-key cryptography, efficient implementations, cryptographic schemes, algorithmic problems, elliptic curves, fault analysis, and security proofs.