CAM Digest, 星期六, 2007年4月21日

Today's Editor:
Xuejun Xu (许学军)
Institute of Computational Mathematics
Chinese Academy of Science

中国科学技术大学数学系沈维孝教授又一篇论文被Ann. Math.接受发表

近日,中国科学技术大学数学系沈维孝教授的论文“Combinatorial rigidity for
unicritical polynomials”被
国际顶尖数学杂志Ann. Math.接受发表。这是沈维孝教授被Ann. Math.接受发表的第四篇论文
。在此之前,沈维孝教授已有一篇论文在Ann. Math.上正式发表(2006年),另有两篇论文被接
受发表。据悉,自改革开放以来,有国内学者参与的、在Ann. Math.上正式发表的论文只有5
在这篇与Artur Avila,Jeremy Kahn,Mikhail Lyubich合作的论文中,作者证明了非无穷可
作为“中科院百人计划”引进人才回我校工作。沈维孝教授还在Invent. Math.; Ann. Sci.
Ecole. Norm. Sup.等国际著名杂志上发表过论文。




课程一:Mathematical introduction to statistical and quantum mechanics
课程二:Introduction to atomistic modeling


会议信息:Recent Advances on Spectral Methods and Related Applications

Xiamen University, China, June 14-16, 2007


In conjunction with the ICOSAHOM07 in Beijing, we are organizing a small workshop on
"Recent Advances on Spectral Methods and Related Applications" during June 14-16 at
Xiamen University. The purpose of the workshop is to bring together leading experts
in spectral methods and their applications to exchange recent advances and ideas, and
to promote research and collaboration.

This workshop is sponsored by the School of Mathematical Sciences , Xiamen University

Organizing Committee:

Jie Shen, Purdue University, USA
Chuanju Xu, Xiamen University, China
LinZhang Lu, Xiamen University, China

Travel Information/ Conference Location:
Hotel: International Conference Center of Xiamen University.
Xiamen is located in a beautiful peninsula across the Taiwan straight, and is a
very popular tourist destination in China. There are frequent direct flights to
Xiamen from Beijing and Shanghai (and other major airports in China). A round trip
ticket from Beijing or Shanghai to Xiamen is typically between $150--$300, and
can be purchased at the airport or reserved in advance.

All the speakers will be host at International Conference Center of Xiamen University,
which is located at the principal campus of Xiamen University.

Pick up service: The airport pick-up service will be arranged for the workshop speakers
to transport from the Xiamen GaoQi airport to the hotel. Please let us know your
flight information by sending email to

Taxi: Xiamen university is about 20km from Xiamen GaoQi airport. If you miss the
pick-up service, you can reach the hotel easily by taxi. It will cost about
60 RMB (Chinese Yuan).

List of speakers:

Mejdi Azaiez
TREFLE, Université de Bordeaux-I

Weizhu Bao
National Singapore University

Wei Cai
University of North Calolina at Charlotte

Qiang Du
Penn State University

Daniele Funaro
Universita di Modena e Reggio Emilia

Anne Gelb
Arizona State University

Benyu Guo
Shanghai Normal University

Tom Hagstrom
University of New Mexico at Albuquerque

Sidi Mahmoud Kaber
Université de Paris-VI

George Karniadakis
Brown University

Ernest Mund
Bienvenue à l'Université Libre de Bruxelles

Tao Tang
Hong Kong Baptist University
Hong Kong

Dongbin Xiu
Purdue University

Longan Ying
Xiamen University

Li-Lian Wang
Nanyang Technological University

Zhimin Zhang
Wayne State University





北京大学数学科学学院 梁岚


会议信息: A two-month program on ``Bose-Einstein Condensation and Quantized Vortices in
Superfluidity and Superconductivity''
at Institute for Mathematical Sciences, National University of Singapore
(1 Nov - 31 Dec 2007)

Organizing Committee

Weizhu Bao (National University of Singapore)
Fanghua Lin (Courant Institute, New York University)
Jiangbin Gong (National University of Singapore)
Dieter Jaksch (University of Oxford)
Baowen Li (National University of Singapore)
Peter Markowich (University of Vienna)

Since its realization in dilute bosonic atomic gases in 1995,
Bose-Einstein condensation (BEC) of alkali atoms and hydrogen atoms
has been produced and studied extensively in the laboratory.
This has spurred great excitement in the atomic physics community
and renewed the interest in studying collective dynamics of
macroscopic ensembles of atoms occupying the same one-particle
quantum state and quantized vortex in superfluidity. Theoretical
predictions of the properties of BEC like the density profile,
collective excitations and the formation of quantized vortices
can now be compared with experimental data.

This dramatic progress on the experimental front has stimulated
a wave of activity on both the theoretical and the numerical fronts.
In fact, the study of BEC and quantized vortices in superfluidity
has been and will continue to be one of the hottest research areas
in quantum physics and applied and computational mathematics.
It involves field theory, kinetic theory, quantum mechanics,
molecular dynamics, quantum hydrodynamics, stochastic analysis
and scientific computing. Scientific modeling, mathematical
analysis and numerical simulation within these frameworks are
among the central themes of modern applied mathematics and sciences.
With advances in technology, BEC in solids and waveguides as well
as fermion condensation were realized in experiments recently.
However, the understanding of these complicated physical phenomena,
in particular, the scientific modeling for fermion condensation
and the application of BEC in quantum computing, provide formidable
challenges to researchers in these fields.

This two-month program will bring together leading international
applied and pure mathematicians, theoretical and experimental
physicists, and computational scientists, and researchers from
NUS Departments of Mathematics, Physics, Material Sciences and
Mechanical Engineering, and from A*STAR institutes IHPC and IMRE,
to review, develop and promote interdisciplinary research on
Bose-Einstein condensation and quantized vortex states and dynamics
in superfluidity and superconductivity.


The program activities will consist of two workshops, series
seminars and collaborative research.

1. Collaborative research: 1 November -- 31 December, 2007

2. Workshop 1: 12 -- 16 November, 2007

Title: Bose-Einstein condensation: modeling, analysis,
computation and applications

3. Workshop 2: 10 -- 14 December, 2007

Title: Quantized vortices in superfluidity and superconductivity
and kinetic theory

For more information about the program, please visit its webpage at:

Mathematical Issues in Stochastic Approaches for Multiscale Modeling

May 21, 2007 to May 25, 2007
Organized By: Roberto Camassa (UNC - Chapel Hill), Jinqiao Duan
(Illinois Institute of Technology - Chicago), Peter E. Kloeden (U of
Frankfurt, Germany), Jonathan Mattingly
(Duke U), Richard McLaughlin (UNC - Chapel Hill)

Parent Programs:
Dynamical Systems

Participant List:
View a List of Registered Participants

Complex physical, biological, geophysical and environmental systems display
over a broad range of spatial and
temporal scales. To make progress in understanding and modelling such systems, a
combination of computational, analytical, and experimental techniques is required.
There are issues that emerge prominently in each of these categories and in all
these stochastic methods are playing a fundamental role.

Firstly, at present and for the conceivable future, not all scales of variability
can be explicitly modeled: representations of the effects of the unresolved scales
of variability on the resolved scales are needed -- the so-called parameterization
problem. Recently, stochastic parameterization schemes have been proposed and used
in, for example,
geophysical and climate simulations. Some of these stochastic parameterization
methods may be verified under certain conditions.

Secondly, critical insight can be gained by deriving and studying models that
are simple enough to be amenable to analysis. Stochastic evolutionary equations are
used to build reduced models to improve our understanding of non-equilibrium
multiscale systems. Central topics for non-equilibrium systems investigations
are, for example, time evolution of the statistics of dependent variables,
such as passive tracers and their increments, slow-fast motion decomposition,
coarse-graining and model reduction. Fast motion or microscopic processes may
be represented by stochastic processes and this has brought in new insights for
model reduction (such as slow manifold reduction) of multiscale systems.

Thirdly, engineering and natural systems are often subject to uncertainty or
random influence, such as stochastic forcing, uncertain parameters, and random
boundary conditions. Taking stochastic effects into account is of central importance
for developing mathematical models capable of interpreting experimental data.
Stochastic partial or ordinary differential
equations are appropriate models for randomly influenced multiscale systems.

The last decade has seen important developments in both the areas of stochastic
analysis and of dynamical systems. Random dynamical systems (e.g., basic
background materials in Ludwig Arnold's 1998 book Random Dynamical Systems),
as the combination of these two seemly remote mathematical areas, have attracted
considerable attention in multiscale modeling community recently. Stochastic
dynamical systems provide a unified framework and useful techniques for
investigating multiscale systems under uncertainty.

The research in the above-mentioned areas has reached a point where it is
important and timely to summarize the past
achievements, to synthesize various ideas, methods, and paradigms, and use
these to stimulate new research by discussing directions and outlooks. Many
challenging problems
lie ahead, such as invariant manifold reduction under uncertainty,
predictability of dynamical behavior, and systematic coarse-graining and model
reduction, to name just a few. Solutions for these problems will greatly
enhance our ability in understanding, quantifying, and managing uncertainty
and predictability in engineering and science. Breakthroughs in solving these
challenging problems are stimulated when we take concentrated and focused actions.

With this in mind, we propose to organize a workshop at MSRI on mathematical
issues in stochastic approaches for multiscale modeling. The major difference
with other workshops
is that we focus on mathematical issues about stochastic methods for
multiscale non-equilibrium systems.

The planned workshop will survey past achievements in stochastic approaches for
multiscale modeling, and discuss future research directions. It is hoped that this
workshop will provide a unique opportunity for interaction of established
and newcomers (Ph.D. students, post-docs, and junior researchers).

Major goals of this workshop are: (i) to stimulate new research on stochastic
modeling of multiscale systems, and (ii) to
attract Ph.D. students, post-docs, and junior researchers into this exciting
field. The engagement of newcomers into the field is an important feature of
this workshop. Newcomers will have informal individual meetings with senior
participants, discussing possible research topics. Round table meetings will
be held, with senior participants outlining
what areas they deem important and what opportunities exist for junior people
to get involved in addressing open problems. This will offer newcomers a
comprehensive view of
the state of art of the field and pick up appropriate research projects.
To facilitate
the continued interaction among participants, informal electronic newsletters
(via an
E-mail list) will be edited by the organizers, discussing research and teaching
of stochastic modeling of multiscale systems.

新书介绍:Adaptive Computations: Theory and Algorithms 科学出版社

丛书:Mathematics Monograph Series;6
作者:汤涛 许进超 编著
定价:78.00 RMB; 初版日期:2007.3
联系人:科学出版社 范庆奎

Adaptive grid methods are among the most important classes of numerical methods
for partial differential equations that arise from scientific and engineering computing.
The study of this type of methods has been very active in recent years for algorithm
design, theoretical analysis and applications to practical computations. This volume
contains a number of self-contained articles for adaptive finite element and finite
difference methods, which is aimed to provide some introduction materials for graduate
students and junior researchers and a collection of references for researchers and
practitioners.These articles mostly grew out of the lectures notes that were given in
Summer Workshops on Adaptive Method, Theory and Application organized by Tao Tang,
Jinchao Xu and Pingwen Zhang in Peking University, China, during June 20--August 20,
2005. This summer school was aimed to provide a comprehensive and up-to-date presentation
of modern theories and practical applications for adaptive computations. The main lecturers
of the Summer School include Weizhang Huang of University of Kansas, Natalia Kopteva of
University of Limerick, Zhiping Li of Peking University, John Mackenzie of Strathclyde
University, Jinchao Xu of Penn State University, Paul Zegeling of Utrecht University, and
Zhimin Zhang of Wayne State University. Other lecturers include Tao Tang, Xiaoping Wang of
HKUST, Huazhong Tang and Pingwen Zhang (both from Peking University). More detailed
information of this summer school can be found
in is most in Chinese).

新书介绍:科学计算概论 科学出版社

定价:48.00 RMB; 初版日期:2007.3
联系人:科学出版社 范庆奎



Interdisciplinary Mathematical Sciences
(ISSN: 1793-1355) World Scientific Publishing

Aims and Scope
This book series will include expository books, textbooks and research monographs
dealing with the interactions between mathematical sciences and other scientific
disciplines such as engineering sciences, physical sciences, life sciences and social

The volumes will be of interest to mathematicians, scientists and engineers who value
interdisciplinary applications of mathematical sciences. Graduate and undergraduate
students in these fields will also find the series valuable.

Jinqiao Duan (Illinois Institute of Technology, Chicago)


Ludwig Arnold (
(University of Bremen, Germany; Random dynamical systems and applications)

Roberto Camassa (
(University of North Carolina; Mathematical modeling and analysis)

Peter Constantin (
(University of Chicago; Fluid dynamics, partial differential equations)

Charles Doering (
(University of Michigan; Statistical physics, interdisciplinary modeling, fluid

Paul Fischer (
(Argonne National Laboratory; scientific computing, biological fluid dynamics)

Andrei V Fursikov (
(Moscow State University, Russia; Control of distributed systems, statistical

Fred R McMorris (
(Illinois Institute of Technology; Discrete applied mathematics, genome and
biological modeling)

Daniel Schertzer (
(Universite de Paris VI, France; Geosciences)

Bjorn Schmalfuss (
(University of Paderborn, Germany; Random dynamical systems, stochastic partial
differential equations and applications)

Xiangdong Ye (
(The University of Science and Technology of China: Ergodic Theory)

Jerzy Zabczyk (
(Polish Academy of Sciences; Stochastic partial differential equations, and
applications in other fields)

To contribute to this book series, contact or download
the book proposal form.

Vol. 1
Global Attractors of Non-Autonomous Dissipative Dynamical Systems
by David N Cheban

Vol. 2
Stochastic Differential Equations: Theory and Applications
A Volume in Honor of Professor Boris L Rozovskii
edited by Peter H Baxendale & Sergey V Lototsky

Vol. 3
Amplitude Equations for Stochastic Partial Differential Equations
by Dirk Blomker

Vol. 4
Mathematical Theory of Adaptive Control
by Vladimir G Sragovich
translated by I A Sinitzin
edited by J Spaliński, with assistance from Stettner & J Zabczyk

Vol. 5
Hilbert-Huang Transform and Its Applications
edited by Norden E Huang & Samuel S P Shen

Vol. 6
Meshfree Approximation Methods with MATLAB
(With CD-ROM)
by Gregory E Fasshauer

数学系介绍: 山西师范大学数学与计算机科学学院



省级科研项目30余项,横向开发项目10余项。据不完全统计,我院教师在《J. Funct.Anal.》、
《J.Math.Anal. Appl》、《J.Oper.Th.》、《Inter.Equa.Oper.Th.》、《Lin.Alg.Appl.》、
《Math.Z.》、《Studia Math.》、《Sci. in China》、《Acta Math.Sin.》、
《ChineseAnn.Math.》、《Acta Math.Sci.》、《科学通报》、《计算机学报》、《软件学报》、





End of CAM Digest