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Classification And Identification Of Lie Algebras

by Libor Snobl

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 Serves as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra obtained in some arbitrary basis in a more suitable basis in which all essential features of the Lie algebra are directly visible.
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Skew-Orthogonal Polynomials And Random Matrix Theory

by American Mathematical Society

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 Orthogonal polynomials satisfy a three-term recursion relation irrespective of the weight function with respect to which they are defined. In this book, the author develops the theory of skew-orthogonal polynomials and obtains recursion relations which, unlike orthogonal polynomials, depend on weight functions.
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Monoidal Functors, Species And Hopf Algebras

by Marcelo Aguiar e Swapneel Mahajan

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 Integrating ideas from category theory, algebra and combinatorics, this monograph is organised into three parts: category theory; combinatorics and geometry; and an examination of how ideas in Parts I and II lead to a unified approach to Hopf algebras.
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Combinatorics On Words - Christoffel Words And Repetitions In Words

by Aaron Lauve, Christophe Reutenauer, Franco V. Saliola e Jean Berstel

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 Presents an exposition of the theory of Christoffel words. This book presents numerous combinatorial and algorithmic aspects of repetition-free words stemming from the work of Axel Thue - a pioneer in the theory of combinatorics on words.
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Dynamics Of Small Neural Populations

by American Mathematical Society

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 Focuses on systems composed of 2-3 neurons. This book explores time-delayed feedback control, noise, and statistical properties of neurons and large neural populations.
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Free Random Variables

by American Mathematical Society

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 Presents a comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. This title provides basic examples of this kind of theory by convolution operators on free groups and by the asymptotic behavior of large Gaussian random matrices.
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Information Theory And Stochastics For Multiscale Nonlinear Systems

by Andrew Majda e Marcus J. Grote

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 Emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling interact to explain complex phenomena. This book introduces various issues in multiscale modeling.
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Introduction To Abelian Varieties

by American Mathematical Society

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 Gives an introduction to the theory of abelian varieties with a view to arithmetic. This title intends to introduce some of the basics of the theory as well as some arithmetic applications to graduate students and researchers in other fields. It also discusses Jacobians of Fermat curves as well as some modular curves.
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Directions In Mathematical Quasicrystals

by American Mathematical Society

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 Includes twelve articles that survey some of the open questions on the mathematics of aperiodic order. This book describes the geometry of aperiodic point sets and their diffractive properties, self-affine tilings, the role of $C^*$-algebras in tiling theory, and the interconnections between symmetry and aperiodic point sets.
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On Finiteness In Differential Equations And Diophantine Geometry

by American Mathematical Society

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 Over the years, much progress has been achieved on finiteness conjectures, which are the offspring of the second part of Hilbert's 16th problem. This book describes this progress, the methods used (bifurcation theory, asymptotic expansions, methods of differential algebra, or geometry) and the specific results obtained.
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Acyclic Models

by American Mathematical Society

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 Presents a brief introduction to category theory and homological algebra. This work then gives the background of the theory of differential modules and chain complexes over an abelian category to state the main acyclic models theorem. It is suitable for a course that combines homological algebra and algebraic topology.
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Fermionic Functional Integrals And The Renormalization Group

by American Mathematical Society

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 The renormalization group is the name given to a technique for analyzing the qualitative behavior of a class of physical systems by iterating a map on the vector space of interactions for the class. This book is based on the Aisenstadt Lectures given by Joel Feldman at the Centre de Recherches Mathematiques (Montreal, Canada).
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Convexity Properties Of Hamiltonian Group Actions

by Reyer Sjamaar e Victor Guillemin

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 Presents a monograph on convexity properties of moment mappings in symplectic geometry. This book reviews various infinite-dimensional manifestations of moment convexity, such as the Kostant type theorems for orbits of a loop group (due to Atiyah and Pressley) or a symplectomorphism group (due to Bloch, Flaschka and Ratiu).
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Riemann Surfaces Of Infinite Genus

by American Mathematical Society

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 To achieve a meaningful generalization of the classical theory of Riemann surfaces to the case of infinite genus, one must impose restrictions on the asymptotic behavior of the Riemann surface. This book geometrically constructs Riemann surfaces of infinite genus by pasting together plane domains and handles.
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Mathematical Techniques For Analyzing Concurrent And Probabilistic Systems

by American Mathematical Society

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 Consists of two sets of lecture notes devoted to slightly different methods of analysis of concurrent and probabilistic computational systems. This book is suitable for graduate courses in theoretical computer science and for research mathematicians interested in design and analysis of concurrent and probabilistic computational systems.
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An Introduction To Branching Measure-Valued Processes

by American Mathematical Society

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 Branching measure-valued (BMV) processes has been the subject of much research. This monograph on the theory of BMV processes constructs a large class of BMV processes, called superprocesses, by passing to the limit from branching particle systems.
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The Geometric And Arithmetic Volume Of Shimura Varieties Of Orthogonal Type

by Fritz Hormann

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Random Matrices And The Six-Vertex Model

by Karl Liechty e Pavel Bleher

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Quaternion Orders, Quadratic Forms And Shimura Curves

by Montserrat Alsina e Pilar Bayer

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Birationally Rigid Varieties

by Aleksandr Pukhlikov

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Cocycles De Groupe Pour $\Mathrm {Gl}_N$ Et Arrangements D'Hyperplans

by Luis E. Garcia, Nicolas Bergeron e Pierre Charollois

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 Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montreal. L'objet de ce texte est une ample generalisation d'une famille d'identites classiques, notamment la formule d'addition de la fonction cotangente ou celle des series d'Eisenstein.
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Continuous Symmetries And Integrability Of Discrete Equations

by Decio Levi, Pavel Winternitz e Ravil I. Yamilov

144,65€

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 Focuses on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices.
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Lecons D'Analyse Classique - Exposition D'Un Cours Fait Par Paul Koosis A L'Universite Mcgill, Montreal

by Philippe Poulin

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Elliptic Boundary Value Problems With Fractional Regularity Data - The First Order Approach

by Alex Amenta e Pascal Auscher

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 Examines the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called â€œfirst order approachâ€ which uses minimal assumptions on the coefficients.
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