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Author : Martine Queffélec
Publisher : Springer
ISBN 13 : 3540480889
Total Pages : 252 pages
Book Rating : 4.5/5 (44 download)
Download or read book Substitution Dynamical Systems - Spectral Analysis written by Martine Queffélec and published by Springer. This book was released on 2006-11-14 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martine Queffélec
Publisher : Springer
ISBN 13 : 3642112129
Total Pages : 367 pages
Book Rating : 4.6/5 (421 download)
Download or read book Substitution Dynamical Systems - Spectral Analysis written by Martine Queffélec and published by Springer. This book was released on 2010-01-30 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally appear in various domains. As the title suggests, the aim of the initial version of this book was the spectral study of the associated dynamical systems: the first chapters consisted in a detailed introduction to the mathematical notions involved, and the description of the spectral invariants followed in the closing chapters. This approach, combined with new material added to the new edition, results in a nearly self-contained book on the subject. New tools - which have also proven helpful in other contexts - had to be developed for this study. Moreover, its findings can be concretely applied, the method providing an algorithm to exhibit the spectral measures and the spectral multiplicity, as is demonstrated in several examples. Beyond this advanced analysis, many readers will benefit from the introductory chapters on the spectral theory of dynamical systems; others will find complements on the spectral study of bounded sequences; finally, a very basic presentation of substitutions, together with some recent findings and questions, rounds out the book.
Author : Martine Queffâelec
Publisher :
ISBN 13 : 9783642112553
Total Pages : 376 pages
Book Rating : 4.1/5 (125 download)
Download or read book Substitution Dynamical Systems - Spectral Analysis written by Martine Queffâelec and published by . This book was released on 2010-09-10 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally appear in various domains. As the title suggests, the aim of the initial version of this book was the spectral study of the associated dynamical systems: the first chapters consisted in a detailed introduction to the mathematical notions involved, and the description of the spectral invariants followed in the closing chapters. This approach, combined with new material added to the new edition, results in a nearly self-contained book on the subject. New tools - which have also proven helpful in other contexts - had to be developed for this study. Moreover, its findings can be concretely applied, the method providing an algorithm to exhibit the spectral measures and the spectral multiplicity, as is demonstrated in several examples. Beyond this advanced analysis, many readers will benefit from the introductory chapters on the spectral theory of dynamical systems; others will find complements on the spectral study of bounded sequences; finally, a very basic presentation of substitutions, together with some recent findings and questions, rounds out the book.
Author : Geoffrey R. Goodson
Publisher : Cambridge University Press
ISBN 13 : 1107112672
Total Pages : 419 pages
Book Rating : 4.1/5 (71 download)
Download or read book Chaotic Dynamics written by Geoffrey R. Goodson and published by Cambridge University Press. This book was released on 2017 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.
Author : Edmund Hlawka
Publisher : Springer
ISBN 13 : 3540468641
Total Pages : 230 pages
Book Rating : 4.5/5 (44 download)
Download or read book Number-Theoretic Analysis written by Edmund Hlawka and published by Springer. This book was released on 2006-11-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter R. Turner
Publisher : Springer
ISBN 13 : 3540467327
Total Pages : 274 pages
Book Rating : 4.5/5 (44 download)
Download or read book Numerical Analysis and Parallel Processing written by Peter R. Turner and published by Springer. This book was released on 2006-11-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each week of this three week meeting was a self-contained event, although each had the same underlying theme - the effect of parallel processing on numerical analysis. Each week provided the opportunity for intensive study to broaden participants' research interests or deepen their understanding of topics of which they already had some knowledge. There was also the opportunity for continuing individual research in the stimulating environment created by the presence of several experts of international stature. This volume contains lecture notes for most of the major courses of lectures presented at the meeting; they cover topics in parallel algorithms for large sparse linear systems and optimization, an introductory survey of level-index arithmetic and superconvergence in the finite element method.
Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 0521869919
Total Pages : 548 pages
Book Rating : 4.5/5 (218 download)
Download or read book Aperiodic Order written by Michael Baake and published by Cambridge University Press. This book was released on 2013-08-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.
Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 1316184382
Total Pages : 548 pages
Book Rating : 4.3/5 (161 download)
Download or read book Aperiodic Order: Volume 1, A Mathematical Invitation written by Michael Baake and published by Cambridge University Press. This book was released on 2013-08-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.
Author : Idris Assani
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105801
Total Pages : 230 pages
Book Rating : 4.8/5 (131 download)
Download or read book Wiener Wintner Ergodic Theorems written by Idris Assani and published by World Scientific Publishing Company. This book was released on 2003-05-22 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiener Wintner ergodic theorem is a strengthening of Birkhoff pointwise ergodic theorem. Announced by N Wiener and A Wintner, this theorem has introduced the study of a general phenomenon in ergodic theory in which samplings are “good” for an uncountable number of systems. We study the rate of convergence in the uniform version of this theorem and what we call Wiener Wintner dynamical systems and prove for these systems two pointwise results: the a.e. double recurrence theorem and the a.e. continuity of the fractional rotated ergodic Hilbert transform. Some extensions of the Wiener Wintner ergodic theorem are also given.
Author : Michel Rigo
Publisher : John Wiley & Sons
ISBN 13 : 1119042860
Total Pages : 151 pages
Book Rating : 4.1/5 (19 download)
Download or read book Formal Languages, Automata and Numeration Systems 2 written by Michel Rigo and published by John Wiley & Sons. This book was released on 2014-09-10 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between words, computability, algebra and arithmetic has now proved its relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite automata (such as that initiated by J.R. Büchi) or between combinatorics on words and number theory has paved the way to recent dramatic developments, for example, the transcendence results for the real numbers having a "simple" binary expansion, by B. Adamczewski and Y. Bugeaud. This book is at the heart of this interplay through a unified exposition. Objects are considered with a perspective that comes both from theoretical computer science and mathematics. Theoretical computer science offers here topics such as decision problems and recognizability issues, whereas mathematics offers concepts such as discrete dynamical systems. The main goal is to give a quick access, for students and researchers in mathematics or computer science, to actual research topics at the intersection between automata and formal language theory, number theory and combinatorics on words. The second of two volumes on this subject, this book covers regular languages, numeration systems, formal methods applied to decidability issues about infinite words and sets of numbers.
Author : Mahendra Ganpatrao Nadkarni
Publisher : Springer Science & Business Media
ISBN 13 : 9783764358174
Total Pages : 204 pages
Book Rating : 4.3/5 (581 download)
Download or read book Spectral Theory of Dynamical Systems written by Mahendra Ganpatrao Nadkarni and published by Springer Science & Business Media. This book was released on 1998 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats some basic topics in the spectral theory of dynamical systems, where by a dynamical system we mean a measure space on which a group of automorphisms acts preserving the sets of measure zero. The treatment is at a general level, but even here, two theorems which are not on the surface, one due to H. Helson and W. Parry and the other due to B. Host are presented. Moreover non singular automorphisms are considered and systems ofimprimitivity are discussed. and they are used to describe Riesz products, suitably generalised, are considered the spectral types and eigenvalues of rank one automorphisms. On the other hand topics such as spectral characterisations of various mixing conditions, which can be found in most texts on ergodic theory, and also the spectral theory of Gauss Dynamical Systems, which is very well presented in Cornfeld, Fomin, and Sinai's book on Ergodic Theory, are not treated in this book. A number of discussions and correspondence on email with El Abdalaoui El Houcein made possible the presentation of mixing rank one construction of D. S. Ornstein. Iam deeply indebted to G. R. Goodson. He has edited the book and suggested a number of corrections and improvements in both content and language.
Author : Jean E. Pin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540516316
Total Pages : 276 pages
Book Rating : 4.5/5 (163 download)
Download or read book Formal Properties of Finite Automata and Applications written by Jean E. Pin and published by Springer Science & Business Media. This book was released on 1989-10-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the proceedings of the 16th Spring School on Theoretical Computer Science held in Ramatuelle, France, in May 1988. It is a unique combination of research level articles on various aspects of the theory of finite automata and its applications. Advances made in the last five years on the mathematical foundations form the first part of the book. The second part is devoted to the important problems of the theory including star-height, concatenation hierarchies, and connections with logic and word problems. The last part presents a large variety of possible applications: number theory, distributed systems, algorithms on strings, theory of codes, complexity of boolean circuits and others.
Author : Edward W. Odell
Publisher : Springer
ISBN 13 : 3540458921
Total Pages : 212 pages
Book Rating : 4.5/5 (44 download)
Download or read book Functional Analysis written by Edward W. Odell and published by Springer. This book was released on 2006-11-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.
Author : Francoise Axel
Publisher : Springer Science & Business Media
ISBN 13 : 3662031302
Total Pages : 624 pages
Book Rating : 4.6/5 (62 download)
Download or read book Beyond Quasicrystals written by Francoise Axel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the collection of most of the written versions of the Courses given at the Winter School "Beyond Quasicrystals" in Les Houches (March 7-18, 1994). The School gathered lecturers and participants from all over the world and was prepared in the spirit of a general effort to promote theoretical and experimental interdisciplinary communication between mathematicians, theoretical and experimental physicists on the topic of the nature of geometric order in solids beyond standard periodicity and quasi periodicity. The overall structure of the book reflects the wish of the editors to pose this fundamental question of geometric order in solids from both the experimental and theoretical point of view. The first part is devoted more specifically to quasicrystals. These materials were the common starting point of most of the audience and present a first concrete example of a non-trivial geometric order. We chose to focus on a few fundamental aspects of quasicrystals related to hidden symmetries in solids which are not easily found in standard textbooks on the topic, not to reach an exhaustive survey which is already available elsewhere.
Author : Grzegorz Rozenberg
Publisher : World Scientific
ISBN 13 : 9789810243807
Total Pages : 404 pages
Book Rating : 4.2/5 (438 download)
Download or read book Developments in Language Theory written by Grzegorz Rozenberg and published by World Scientific. This book was released on 2000 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of formal languages is one of the oldest branches of theoretical computer science. Its original aim (in the fifties and sixties) was to clarify the laws and algorithms that underlie the definition and compilation of programming languages. Since then, formal language theory has changed very much. Today it includes mathematical topics like combinatorics of words, word equations, and coding theory, but it also covers connections to linguistics (for example, the study of contextual grammars), new computational paradigms (like DNA computing), and a wide range of applications, among them hypertext processing, database theory, and formal program verification. Many of these themes of modern formal language theory are represented in this volume.
Author : Grzegorz Rozenberg
Publisher : World Scientific
ISBN 13 : 9814492647
Total Pages : 396 pages
Book Rating : 4.8/5 (144 download)
Download or read book Developments In Language Theory: Foundations, Applications, And Perspectives - Proceedings Of The 4th International Conference written by Grzegorz Rozenberg and published by World Scientific. This book was released on 2000-11-07 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of formal languages is one of the oldest branches of theoretical computer science. Its original aim (in the fifties and sixties) was to clarify the laws and algorithms that underlie the definition and compilation of programming languages. Since then, formal language theory has changed very much. Today it includes mathematical topics like combinatorics of words, word equations, and coding theory, but it also covers connections to linguistics (for example, the study of contextual grammars), new computational paradigms (like DNA computing), and a wide range of applications, among them hypertext processing, database theory, and formal program verification. Many of these themes of modern formal language theory are represented in this volume.
Author : Jorge Almeida
Publisher : Springer Nature
ISBN 13 : 3030552152
Total Pages : 283 pages
Book Rating : 4.0/5 (35 download)
Download or read book Profinite Semigroups and Symbolic Dynamics written by Jorge Almeida and published by Springer Nature. This book was released on 2020-09-10 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.
