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The Metrical Theory Of Jacobi Perron Algorithm


The Metrical Theory Of Jacobi Perron Algorithm
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The Metrical Theory Of Jacobi Perron Algorithm


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.




Metrical Theory Of Jacobi Perron Algorithm


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.




Beweismethoden Der Differentialgeometric Im Grossen


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 Jacobi Perron Algorithm


The Jacobi Perron Algorithm
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Author : L. Bernstein
language : en
Publisher: Springer
Release Date : 1971-01-01

The Jacobi Perron Algorithm written by L. Bernstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.




The Jacobi Perron Algorithm


The Jacobi Perron Algorithm
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Author : L. Bernstein
language : en
Publisher:
Release Date : 2014-01-15

The Jacobi Perron Algorithm written by L. Bernstein 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.




The Jacobi Perron Algorithm


The Jacobi Perron Algorithm
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Author : Leon Bernstein
language : en
Publisher: Springer Verlag
Release Date : 1971-01-01

The Jacobi Perron Algorithm written by Leon Bernstein and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.




Substitutions In Dynamics Arithmetics And Combinatorics


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.



Multidimensional Continued Fractions


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.


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



Dynamical Systems And Statistical Mechanics


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.



Geometry Of Continued Fractions


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.