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Noncommutative Rational Series With Applications
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Book Synopsis Noncommutative Rational Series with Applications by : Jean Berstel
Download or read book Noncommutative Rational Series with Applications written by Jean Berstel and published by Cambridge University Press. This book was released on 2011 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern account of the subject and its applications. Excellent resource for those working in algebra and theoretical computer science.
Book Synopsis Noncommutative Rational Series with Applications by : Jean Berstel
Download or read book Noncommutative Rational Series with Applications written by Jean Berstel and published by . This book was released on 2014-05-14 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern account of the subject and its applications. Excellent resource for those working in algebra and theoretical computer science.
Book Synopsis Bimonoids for Hyperplane Arrangements by : Marcelo Aguiar
Download or read book Bimonoids for Hyperplane Arrangements written by Marcelo Aguiar and published by Cambridge University Press. This book was released on 2020-03-19 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce notions of monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement. They also construct universal bimonoids by using generalizations of the classical notions of shuffle and quasishuffle, and establish the Borel–Hopf, Poincaré–Birkhoff–Witt, and Cartier–Milnor–Moore theorems in this setting. This monograph opens a vast new area of research. It will be of interest to students and researchers working in the areas of hyperplane arrangements, semigroup theory, Hopf algebras, algebraic Lie theory, operads, and category theory.
Book Synopsis Time-Domain Scattering by : P. A. Martin
Download or read book Time-Domain Scattering written by P. A. Martin and published by Cambridge University Press. This book was released on 2021-06-24 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.
Book Synopsis Combinatorics on Words by : Anna Frid
Download or read book Combinatorics on Words written by Anna Frid and published by Springer Nature. This book was released on 2023-05-30 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Combinatorics on Words, WORDS 2023, held in Umeå, Sweden, during June 12–16, 2023. The 19 contributed papers presented in this book were carefully reviewed and selected from 28 submissions. In addition, the volume also contains 3 invited papers. WORDS is the main conference series devoted to combinatorics on words. This area is connected to several topics from computer science and mathematics, including string algorithms, automated proofs, discrete dynamics, number theory and, of course, classical combinatorics
Book Synopsis Algebraic Informatics by : Traian Muntean
Download or read book Algebraic Informatics written by Traian Muntean and published by Springer. This book was released on 2013-08-20 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Algebraic Informatics, CAI 2013, held in Porquerolles, France in September 2013. The 19 revised full papers presented together with 5 invited articles were carefully reviewed and selected from numerous submissions. The papers cover topics such as data models and coding theory; fundamental aspects of cryptography and security; algebraic and stochastic models of computing; logic and program modelling.
Book Synopsis Combinatorics on Words by : Florin Manea
Download or read book Combinatorics on Words written by Florin Manea and published by Springer. This book was released on 2015-08-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Combinatorics on Words, WORDS 2015, held in Kiel, Germany, in September 2015 under the auspices of the EATCS. The 14 revised full papers presented were carefully reviewed and selected from 22 submissions. The main object in the contributions are words, finite or infinite sequences of symbols over a finite alphabet. The papers reflect both theoretical contributions related to combinatorial, algebraic, and algorithmic aspects of words, as well as to contributions presenting applications of the theory of words in other field of computer science, linguistics, biology, bioinformatics, or physics.
Book Synopsis Quasi-Hopf Algebras by : Daniel Bulacu
Download or read book Quasi-Hopf Algebras written by Daniel Bulacu and published by Cambridge University Press. This book was released on 2019-02-21 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.
Book Synopsis Mathematical Constants II by : Steven R. Finch
Download or read book Mathematical Constants II written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Book Synopsis Asymptotic Analysis of Random Walks: Light-Tailed Distributions by : A.A. Borovkov
Download or read book Asymptotic Analysis of Random Walks: Light-Tailed Distributions written by A.A. Borovkov and published by Cambridge University Press. This book was released on 2020-10-29 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic modern treatise on large deviation theory for random walks with light tails, from one of its key creators.
Book Synopsis Mathematics of the Bond Market: A Lévy Processes Approach by : Michał Barski
Download or read book Mathematics of the Bond Market: A Lévy Processes Approach written by Michał Barski and published by Cambridge University Press. This book was released on 2020-04-23 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyses bond market models with Lévy stochastic factors, suitable for graduates and researchers in probability and mathematical finance.
Book Synopsis Asymptotic Analysis of Random Walks by : A. A. Borovkov
Download or read book Asymptotic Analysis of Random Walks written by A. A. Borovkov and published by Cambridge University Press. This book was released on 2020-10-29 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a companion book to Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions by A.A. Borovkov and K.A. Borovkov. Its self-contained systematic exposition provides a highly useful resource for academic researchers and professionals interested in applications of probability in statistics, ruin theory, and queuing theory. The large deviation principle for random walks was first established by the author in 1967, under the restrictive condition that the distribution tails decay faster than exponentially. (A close assertion was proved by S.R.S. Varadhan in 1966, but only in a rather special case.) Since then, the principle has always been treated in the literature only under this condition. Recently, the author jointly with A.A. Mogul'skii removed this restriction, finding a natural metric for which the large deviation principle for random walks holds without any conditions. This new version is presented in the book, as well as a new approach to studying large deviations in boundary crossing problems. Many results presented in the book, obtained by the author himself or jointly with co-authors, are appearing in a monograph for the first time.
Book Synopsis Fundamentals of the Theory of Structured Dependence between Stochastic Processes by : Tomasz R. Bielecki
Download or read book Fundamentals of the Theory of Structured Dependence between Stochastic Processes written by Tomasz R. Bielecki and published by Cambridge University Press. This book was released on 2020-08-27 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive presentation of the technical aspects and applications of the theory of structured dependence between random processes.
Book Synopsis The Banach–Tarski Paradox by : Grzegorz Tomkowicz
Download or read book The Banach–Tarski Paradox written by Grzegorz Tomkowicz and published by Cambridge University Press. This book was released on 2016-06-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years.
Book Synopsis Development in Language Theory by : Giancarlo Mauri
Download or read book Development in Language Theory written by Giancarlo Mauri and published by Springer. This book was released on 2011-07-12 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Developments in Language Theory, DLT 2011, held in Milano, Italy, in July 2011. The 34 regular papers presented were carefully reviewed and selected from numerous submissions. The volume also contains the papers or abstracts of 5 invited speakers, as well as a 2-page abstract for each of the 7 poster papers. The topics covered include grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; codes; symbolic dynamics; algorithmic, combinatorial and algebraic properties of words and languages; decidability questions; applications of language theory, including: natural computing, image manipulation and compression, text algorithms, cryptography, concurrency, complexity theory and logic; cellular automata and multidimensional patterns; language theory aspects of quantum computing and bio-computing.
Book Synopsis Nonsymmetric Operads in Combinatorics by : Samuele Giraudo
Download or read book Nonsymmetric Operads in Combinatorics written by Samuele Giraudo and published by Springer. This book was released on 2019-01-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operads are algebraic devices offering a formalization of the concept of operations with several inputs and one output. Such operations can be naturally composed to form more complex ones. Coming historically from algebraic topology, operads intervene now as important objects in computer science and in combinatorics. A lot of operads involving combinatorial objects highlight some of their properties and allow to discover new ones. This book portrays the main elements of this theory under a combinatorial point of view and exposes the links it maintains with computer science and combinatorics. Examples of operads appearing in combinatorics are studied. The modern treatment of operads consisting in considering the space of formal power series associated with an operad is developed. Enrichments of nonsymmetric operads as colored, cyclic, and symmetric operads are reviewed.
Book Synopsis Formal Languages, Automata and Numeration Systems 2 by : Michel Rigo
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 2014-11-17 with total page 266 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.
