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Author: Jean Berstel
Publisher: Cambridge University Press
Published: 2011
Total Pages: 263
ISBN-13: 0521190223
DOWNLOAD EBOOKA modern account of the subject and its applications. Excellent resource for those working in algebra and theoretical computer science.
Author: Joseph A. Ball
Publisher: Cambridge University Press
Published: 2021-12-16
Total Pages: 440
ISBN-13: 1009020102
DOWNLOAD EBOOKThis concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system theory ideas and reproducing kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling–Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspace form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges–Rovnyak model theory and characteristic operator function for a Hilbert space contraction operator. The chapters that follow generalize the system theory and reproducing kernel techniques to enable an extension of the ideas above to weighted Bergman space multivariable settings.
Author: Michał Barski
Publisher: Cambridge University Press
Published: 2020-04-15
Total Pages: 402
ISBN-13: 1108889603
DOWNLOAD EBOOKMathematical models of bond markets are of interest to researchers working in applied mathematics, especially in mathematical finance. This book concerns bond market models in which random elements are represented by Lévy processes. These are more flexible than classical models and are well suited to describing prices quoted in a discontinuous fashion. The book's key aims are to characterize bond markets that are free of arbitrage and to analyze their completeness. Nonlinear stochastic partial differential equations (SPDEs) are an important tool in the analysis. The authors begin with a relatively elementary analysis in discrete time, suitable for readers who are not familiar with finance or continuous time stochastic analysis. The book should be of interest to mathematicians, in particular to probabilists, who wish to learn the theory of the bond market and to be exposed to attractive open mathematical problems.
Author: Daniel Bulacu
Publisher: Cambridge University Press
Published: 2019-02-21
Total Pages: 546
ISBN-13: 1108632653
DOWNLOAD EBOOKThis is the first book to be dedicated entirely to Drinfeld's quasi-Hopf algebras. Ideal for graduate students and researchers in mathematics and mathematical physics, this treatment is largely self-contained, taking the reader from the basics, with complete proofs, to much more advanced topics, with almost complete proofs. Many of the proofs are based on general categorical results; the same approach can then be used in the study of other Hopf-type algebras, for example Turaev or Zunino Hopf algebras, Hom-Hopf algebras, Hopfish algebras, and in general any algebra for which the category of representations is monoidal. Newcomers to the subject will appreciate the detailed introduction to (braided) monoidal categories, (co)algebras and the other tools they will need in this area. More advanced readers will benefit from having recent research gathered in one place, with open questions to inspire their own research.
Author: Marcelo Aguiar
Publisher: Cambridge University Press
Published: 2020-03-19
Total Pages: 854
ISBN-13: 1108852785
DOWNLOAD EBOOKThe 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.
Author: P. A. Martin
Publisher: Cambridge University Press
Published: 2021-06-24
Total Pages: 265
ISBN-13: 1108835597
DOWNLOAD EBOOKThe first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.
Author: Anna Frid
Publisher: Springer Nature
Published: 2023-05-30
Total Pages: 310
ISBN-13: 303133180X
DOWNLOAD EBOOKThis 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
Author: Traian Muntean
Publisher: Springer
Published: 2013-08-20
Total Pages: 283
ISBN-13: 3642406637
DOWNLOAD EBOOKThis 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.
Author: Florin Manea
Publisher: Springer
Published: 2015-08-26
Total Pages: 254
ISBN-13: 3319236601
DOWNLOAD EBOOKThis 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.
Author: A. A. Borovkov
Publisher: Cambridge University Press
Published: 2020-10-29
Total Pages: 437
ISBN-13: 1107074681
DOWNLOAD EBOOKA systematic modern treatise on large deviation theory for random walks with light tails, from one of its key creators.
