This volume is targeted at theoretical physicists,
mathematical physicists and mathematicians working on
mathematical models for physical systems based on symmetry
methods and in the field of Lie theory understood in the widest
sense. It includes contributions on Lie theory, with two papers
by the famous mathematician Kac (one paper with Bakalov), further
papers by Aoki, Moens. Some other important contributions are in:
field theory ・Todorov, Grosse, Kreimer, Sokatchev, Gomez;
string theory ・Minwalla, Staudacher, Kostov; integrable systems
・Belavin, Helminck, Ragoucy; quantum-mechanical and
probabilistic systems ・Goldin, Van der Jeugt, Leandre; quantum
groups and related objects ・Jakobsen, Arnaudon,
Andruskiewitsch; and others.
Contents:
Lie Theory:
Twisted Modules over Lattice Vertex Algebras (B Bakalov & V G
Kac)
Structure Theory of Finite Lie Conformal Superalgebras (V G Kac
et al.)
On Characters and Dimension Formulas for Representations of the
Lie Superalgebra gl(m|n) (E M Moens & J Van der Jeugt)
Matching Conditions for Invariant Eigendistributions on Some
Semisimple Symmetric Spaces (S Aoki & S Kato)
Field Theory:
Rational Conformal Correlation Functions of Gauge Invariant Local
Fields in Four Dimensions (I T Todorov et al.)
Renormalisation of Noncommutative Scalar Field Theories (H Grosse
et al.)
On the Insertion-Elimination Lie Algebra of Feynman Graphs (D
Kreimer et al.)
Superconformal Kinematics and Dynamics in the AdS/CFT
Correspondence (E Sokatchev)
Renormalons and Fractional Instantons (C Gomez)
String Theory:
The Hagedorn/Deconfinement Phase Transition in Weakly Coupled
Large N Gauge Theories (S Minwalla et al.)
Two-Loop Commuting Charges and the String/Gauge Duality (M
Staudacher et al.)
Boundary Ground Ring and Disc Correlation Functions in Liouville
Quantum Gravity (I Kostov)
Integrable Systems:
Quantum Group in Roots of Unity and the Restriction of XXZ Model
(A Belavin)
Spaces of Boundary Values Related to a Multipoint Version of the
KP-Hierarchy (G F Helminck)
Integrable Systems with Impurity (E Ragoucy)
Quantum Mechanical and Probabilistic Systems:
Measures on Spaces of Infinite-Dimensional Configurations, Group
Representations, and Statistical Physics (G A Goldin et al.)
On the n-Particle Wigner Quantum Oscillator: Noncommutative
Coordinates and Particle Localisation (J Van der Jeugt et al.)
Bundle Gerbes and Brownian Motion (R Leandre)
Quantum Groups and Related Objects:
Matrix Chain Models and Their q-Deformations (H P Jakobsen)
Exotic Bialgebras: Non-Deformation Quantum Groups (D Arnaudon et
al.)
Irreducible Representations of Liftings of Quantum Planes (N
Andruskiewitsch et al.)
and other papers
Readership: Theoretical physicists, mathematical physicists and
mathematicians.
440pp (approx.) Pub. date: Scheduled Fall 2004
ISBN 981-238-936-9
This book focuses on the algebraic-topological aspects of
probability theory, leading to a wider and deeper understanding
of basic theorems, such as those on the structure of continuous
convolution semigroups and the corresponding processes with
independent increments. The method applied within the setting of
Banach spaces and of locally compact Abelian groups is that of
the Fourier transform. This analytic tool along with the relevant
parts of harmonic analysis makes it possible to study certain
properties of stochastic processes in dependence of the algebraic-topological
structure of their state spaces. Graduate students, lecturers and
researchers may use the book as a primer in the theory of
probability measures on groups and related structures.
Contents:
Probability Measures on Metric Spaces
The Fourier Transform in a Banach Space
The Structure of Infinitely Divisible Probability Measures
Harmonic Analysis of Convolution Semigroups
Negative Definite Functions and Convolution Semigroups
Probabilistic Properties of Convolution Semigroups
Readership: Graduate students, lecturers and researchers in
probability and statistics.
350pp (approx.) Pub. date: Scheduled Fall 2004
ISBN 981-238-937-7
This book contains Volume 6 of the Journal of Graph Algorithms and Applications
(JGAA). JGAA is a peer-reviewed scientific journal devoted to the publication
of high-quality research papers on the analysis, design, implementation,
and applications of graph algorithms. Areas of interest include computational
biology, computational geometry, computer graphics, computer-aided design,
computer and interconnection networks, constraint systems, databases, graph
drawing, graph embedding and layout, knowledge representation, multimedia,
software engineering, telecommunications networks, user interfaces and
visualization, and VLSI circuit design.
Graph Algorithms and Applications 3 presents contributions from
prominent authors and includes selected papers from the Symposium
on Graph Drawing (1999 and 2000). All papers in the book have
extensive diagrams and offer a unique treatment of graph
algorithms focusing on the important applications.
Contents:
Triangle-Free Planar Graphs and Segment Intersection Graphs (N de
Castro et al.)
Traversing Directed Eulerian Mazes (S Bhatt et al.)
A Fast Multi-Scale Method for Drawing Large Graphs (D Harel &
Y Koren)
GRIP: Graph Drawing with Intelligent Placement (P Gajer & S G
Kobourov)
Graph Drawing in Motion (C Friedrich & P Eades)
Regular Triangulated Toroidal Graphs with Applications to
Cellular and Interconnection Networks (M Iridon & D W Matula)
and other papers
Readership: Researchers and practitioners in theoretical computer
science, computer engineering, and combinatorics and graph theory.
520pp (approx.) Pub. date: Scheduled Fall 2004
ISBN 981-238-939-3(pbk)
This invaluable volume is a collection of articles in memory
of Jacques-Louis Lions, a leading mathematician and the founder
of the Contemporary French Applied Mathematics School. The
contributions have been written by his friends, colleagues and
students, including C Bardos, A Bensoussan, S S Chern, P G
Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O
Pironneau, W Strauss, R Temam, etc.
The book concerns many important results in analysis, geometry,
numerical methods, fluid mechanics, control theory, etc.
Contents:
Stable and Unstable Ideal Plane Flows (C Bardos et al.)
Sensitivity of Darcy's Law to Discontinuities (C Bernardi & O
Pironneau)
Reiterated Homogenization of Degenerate Nonlinear Elliptic
Equations (J Bystrom et al.)
On the Connection in Finsler Space (S S Chern)
On the Classification of Initial Data for Nonlinear Wave
Equations (C Gu)
Local Exact Boundary Controllability for a Class of Quasilinear
Hyperbolic Systems (T Li & B Rao)
On Nonlinear Differential Galois Theory (B Malgrange)
Quadrilateral Mesh (P Ming & Z Shi)
On the Hyperbolic Obstacle Problem of First Order (J F Rodrigues)
and other articles
Readership: Graduate students and researchers in applied
mathematics, numerical analysis and applied science.
310pp (approx.) Pub. date: Scheduled Fall 2004
ISBN 981-238-941-5
This invaluable book focuses on a collection of powerful
methods of analysis that yield deep number-theoretical estimates.
Particular attention is given to counting functions of prime
numbers and multiplicative arithmetic functions. Both real
variable ("elementary") and complex variable ("analytic")
methods are employed. The reader is assumed to have knowledge of
elementary number theory (abstract algebra will also do) and real
and complex analysis. Specialized analytic techniques, including
transform and Tauberian methods, are developed as needed.
Contents:
Calculus of Arithmetic Functions
Summatory Functions
The Distribution of Prime Numbers
An Elementary Proof of the Prime Number Theorem
Dirichlet Series and Mellin Transforms
Inversion Formulas
The Riemann Zeta Function
Primes in Arithmetic Progression
Oscillation Theorems
The Large Sieve
Readership: Graduate students, academics and researchers
interested in analytic number theory.
380pp (approx.) Pub. date: Scheduled Winter 2004
ISBN 981-238-938-5
On the 50th anniversary of Yang?Mills theory, this invaluable
volume looks back at the developments and achievements in
elementary particle physics that ensued from that beautiful idea.
During the last five decades, Yang-Mills theory, which is
undeniably the most important cornerstone of theoretical physics,
has expanded widely. It has been investigated from many
perspectives, and many new and unexpected features have been
uncovered from this theory. In recent decades, apart from high
energy physics, the theory has been actively applied in other
branches of physics, such as statistical physics, condensed
matter physics, nonlinear systems, etc. This makes the theory an
indispensable topic for all who are involved in physics.
An international team of experts, each of whom has left his mark
on the developments of this remarkable theory, contribute essays
or more detailed technical accounts to this volume. These
articles highlight the new discoveries from the respective
authors' perspectives. The distinguished contributors are: S
Adler, P van Baal, F A Bais, C Becchi, M Creutz, A DeRujula, B S
DeWitt, F Englert, L D Faddeev, D Gross, P Hasenfratz, R Jackiw,
P van Nieuwenhuizen, A Polyakov, R Stora, S Weinberg, F Wilczek,
E Witten, C N Yang. Included in each article are introductory and
explanatory remarks by the editor, G 't Hooft, who is himself a
major player in the development of Yang-Mills theory.
Contents:
The Birth of Yang?Mills Theory
Gauge Invariance and Local Symmetry Breaking
Quantization, Symmetries and Ghosts
Renormalization
Anomalies
Scaling
Global Features of Gauge Theories
Confinement
Gauge Fields on the Lattice
Model Building, Grand Unification
Advances and Speculations
Readership: All physicists and mathematicians.
340pp (approx.) Pub. date: Scheduled Winter 2004
ISBN 981-238-934-2
ISBN 981-256-007-6(pbk)