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Complex Systems
July 8 - August 2, 2002
Course directors:
John Pepper, Santa Fe Institute, USA
Imre Kondor, Eötvös Loránd University, Budapest, Hungary
Resource persons:
Chris Adami, California Institute of Technology, USA
Albert-László Barabási, University of Notre Dame, USA
Skye
Bender-deMoll, Bennington College, USA
Jim Crutchfield, Santa Fe Institute, USA
Jean-Louis Deneubourg, Université Libre de Bruxelles, Belgium
Dirk Helbing, Dresden University of Technology, Germany
Cristopher Moore, University of New Mexico, USA
Béla Novák, Technical University of Budapest, Hungary
Beata Oborny, Eötvös Loránd University, Hungary
Wim van Saarloos, Leiden University, The Netherlands
Jonathan Shapiro, Manchester University. UK
Eörs Szathmáry, Eötvös Loránd University, Budapest
Gábor Vattay, Eötvös Loránd University, Hungary
Tamás Vicsek, Eötvös Loránd University, Hungary
Geoffrey West, Los Alamos National Laboratory, USA
Andy Wuensche, Santa Fe Institute and Discrete Dynamics, Inc., USA
Guest lectures:
John Casti, Vienna University of
Technology, Austria
Course objectives
The goal of the summer school is to provide an intensive introduction to the study of
complex behavior in mathematical, physical, and living systems, with particular emphasis
on mathematical and computational modelling techniques. The school presents the core
concepts and techniques of complex systems, together with the work in progress of
researchers applying these ideas to specific problems. This training is designed to
provide a solid understanding of traditional disciplines combined with a new view of
complexity. In this way the school is intended to attract, stimulate, and educate the
best young scientists as they begin to define their own research programs.
Course level, target audience
Applications are solicited from graduate students and postdoctoral fellows in any
discipline, but with some background in science and mathematics at least at the
undergraduate level (including calculus and linear algebra).
Women, minorities, and students from developing countries are especially encouraged to apply.
Course Content
During the four weeks of the school, participants are introduced to the basic ideas and
techniques central to research in complex systems, as well as current research frontiers.
Week 1 will consist of an intensive series of lectures and laboratories introducing
fundamental ideas and tools of complex systems research. The topics will include
non-linear dynamics and pattern formation, statistical mechanics and stochastic processes, information theory, theory of selection and adaptation, computer modelling
tools, and specific applications of these core topics to various disciplines.
Weeks 2 and 3 will consist of lectures and panel discussions on current research in
complex systems. The topics are:
Foundations of Complex Systems (including nonlinear dynamics, information and
computation theory, and evolution and adaptation)
Network Structure and Dynamics
Adaptation in Natural and Artificial Systems
Universal Scaling Laws in Biology
Collective Behavior and Self-Organization
Week 4 will be devoted to completion and presentation of student projects.
Syllabus
Foundations of Complex Systems
Introduction to Complex Systems – Kondor
Stochastic processes and statistical inference
Dynamical systems theory – Wuensche, Crutchfield
Discrete dynamics software - Wuensche
Statistical mechanics – Moore
Measures of complexity – Moore
Information theory – Crutchfield
Theory of computation - Moore
Darwinian selection dynamics - Pepper
Collective Behavior and Self-organization
Jean-Louis Deneubourg – self-organization in social insects
Dirk Helbing - traffic jams, pedestrian flows, and escape panics
Tamas Vicsek - statistical physics of collective behaviour
Wim van Saarloos - nonequilibrium pattern formation
Adaptation in Natural and Artificial Systems:
Chris Adami – evolution in digital and biological organisms
Jonathan Shapiro - evolutionary computation
Eörs Szathmáry – origin of life, molecular evolution
Network Structure and Dynamics
Albert-László Barabási – self-organized networks
Béla Novák – DNA regulatory networks
Gábor Vattay – internet traffic
Scaling Laws in Biology
Geoffrey West
Applicants may wish to visit the web site of the Santa Fe Institute Summer School at
http://www.santafe.edu where more detailed course information will be available.
Non-Discrimination Policy
Central European University does not discriminate on the basis of--including,
but not limited to--race, color, national and ethnic origin, religion, gender or
sexual orientation in administering its educational policies, admissions
policies, scholarship and loan programs, and athletic and other
school-administered programs.
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