This is the proceedings of the ICM2002 Satellite
Conference on
Algebras. Over 175 participants attended
the meeting. The opening
ceremony included an address by R Gonchidorazh,
former vice-president
of the Mongolian Republic in Ulaanbaatar.
The topics covered at
the conference included general algebras,
semigroups, groups,
rings, hopf algebras, modules, codes, languages,
automation
theory, graphs, fuzzy algebras and applications.
Contents:
On Normalized Table Algebras Generated by
a Faithful Non-Real
Element of Degree 3 (Z Arad & G Chen)
Graph Semigroups (V Dlab & T Pospichal)
Moor-Penrose Generalized Inverses of Matrices
Over Division Rings
(Z-X Wan)
M-Solid Pseudovarieties and Galois Connections
(K Denecke & B
Pibaljommee)
Indecomposable Decompositions of CS-Modules
(J L Gomez Pardo
& P A Guil Asensio)
Hereditary Rings, QF2 Rings and Rings of
Finite Representation
Type (C R Hajarnavis)
Solid Burst Error Detecting Cyclic Codes
(S Jain)
On the Homology Bifunctors Over Semimodules
(X T Nguyen)
Some Problems and Conjectures in Modular
Representations (J-P
Zhang)
Finite Groups with c-Normal and f-Hypercentral
Subgroups (W-B Guo
and K P Shum)
and other papers
Readership: Mathematicians and graduate students
in algebra.
450pp (approx.) Pub. date: Scheduled Summer
2003
ISBN 981-238-260-7
World Scientific Series on Nonlinear Science,
Series A - Vol.
44
Technical problems often lead to differential
equations with
piecewise-smooth right-hand sides. Problems
in mechanical
engineering, for instance, violate the requirements
of smoothness
if they involve collisions, finite clearances,
or stick?slip
phenomena. Systems of this type can display
a large variety of
complicated bifurcation scenarios that still
lack a detailed
description.
This book presents some of the fascinating
new phenomena that one
can observe in piecewise-smooth dynamical
systems. The practical
significance of these phenomena is demonstrated
through a series
of well-documented and realistic applications
to switching power
converters, relay systems, and different
types of pulse-width
modulated control systems. Other examples
are derived from
mechanical engineering, digital electronics,
and economic
business-cycle theory.
The topics considered in the book include
abrupt transitions
associated with modified period-doubling,
saddle-node and Hopf
bifurcations, the interplay between classical
bifurcations and
border-collision bifurcations, truncated
bifurcation scenarios,
period-tripling and -quadrupling bifurcations,
multiple-choice
bifurcations, new types of direct transitions
to chaos, and torus
destruction in nonsmooth systems.
In spite of its orientation towards engineering
problems, the
book addresses theoretical and numerical
problems in sufficient
detail to be of interest to nonlinear scientists
in general.
Contents:
On the Dynamics of Nonlinear Systems
Basic Concepts and Methods
Relay Control Systems
Bifurcations and Chaotic Oscillations in
Relay Systems
Chaotic Oscillations in Pulse-Width Modulated
Systems
Border-Collision Bifurcations on a Two-Dimensional
Torus
Border-Collision Bifurcations in a Management
System
370pp (approx.) Pub. date: Scheduled Summer
2003
ISBN 981-238-420-0
Algebraic combinatorics has evolved into
one of the most
active areas of mathematics during the last
several decades. Its
recent developments have become more interactive
with not only
its traditional field representation theory
but also algebraic
geometry, harmonic analysis and mathematical
physics.
This book presents articles from some of
the key contributors in
the area. It covers Hecke algebras, Hall
algebras, the Macdonald
polynomial and its deviations, and their
relations with other
fields.
Contents:
Uno's Conjecture on Representation Types
of Hecke Algebras (S
Ariki)
Divided Differences of Type D and the Grassmannian
of Complex
Structures (H Duan & P Pragacz)
Quiver Varieties, BPS States, Semicanonical
Basis (I Frenkel et
al.)
Tableaux Statistics For 2-Part Macdonald
Polynomials (L Lapointe
& J Morse)
Littlewood's Formulas for Characters of Orthogonal
and Symplectic
Groups (A Lascoux)
A Crystal to Rigged Configuration Bijection
for Nonexceptional
Affine Algebras (M Okado et al.)
A Q-Analog of Schur's Q-Functions (G Tudose
& M Zabrocki)
170pp (approx.) Pub. date: Scheduled Fall
2003
ISBN 981-238-446-4
Lecture notes from a Summer School on Quantum
Probability held
at the University of Grenoble are collected
in these two volumes
of the QP?PQ series. The articles have been
refereed and
extensively revised for publication. It is
hoped that both
current and future students of quantum probability
will be
engaged, informed and inspired by the contents
of these two
volumes. An extensive bibliography containing
the references from
all the lectures is included in Volume 12.
Contents:
Volume 11:
Extensions of Quantum Stochastic Calculus
(S Attal)
Quantum Ito Algebras: Axioms, Representations,
Structures (V
Belavkin)
Free Probability for Probabilists (P Biane)
Conditional Expectations on von Neumann Algebras
(C Cecchini)
Classical Probability Theory ? An Outline
of Stochastic Integrals
and Diffusions (M Emery)
Quantum Stochastic Differential Equations
(F Fagnola)
Canonical Commutation and Anti-Commutation
Relations (M Fannes)
Quantum and Classical Stochastic Calculus
(A Holevo)
Quantum Stochastic Calculus (R Hudson)
Stationary Processes in Quantum Probability
(B Kummerer)
Volume 12:
Integral-Sum Kernel Operators (J M Lindsay)
Quantum Probability Applied to the Damped
Harmonic Oscillator (H
Maassen)
Quantum Probability and Strong Quantum Markov
Processes (K R
Parthasarathy)
Limit Problems for Quantum Dynamical Semigroups
(R Rebolledo)
A Survey of Operator Algebras (J-L Sauvageot)
Quantum Stop Times (K B Sinha)
Free Calculus (R Speicher)
Continuous Kernel Processes in Quantum Probability
(W von
Waldenfels)
Vol. 11
350pp (approx.) Pub. date: Scheduled Fall
2003
ISBN 981-238-976-8
ISBN 981-238-975-X(pbk)
Vol. 12
350pp (approx.) Pub. date: Scheduled Fall
2003
ISBN 981-238-974-1
ISBN 981-238-959-8(pbk)
Set
700pp (approx.) Pub. date: Scheduled Fall
2003
ISBN 981-238-427-8
ISBN 981-238-428-6(pbk)