Course date

8 July - 2 August, 2002
Application deadline:
15 February, 2002
Course Director(s): 

Imre Kondor

Collegium Budapest, Hungary

John Pepper

Santa Fe Institute, USA
Course Faculty: 

Chris Adami

California Institute of Technology, Digital Life Laboratory, Pasadena, United States of America

Skye Bender-de Moll

Stanford University, United States of America

Jim Crutchfield

University of California, Davis, Computational Science and Engineering Center, United States of America

Jean-Louis Deneubourg

Free University Amsterdam, Center for Nonlinear Phenomena and Complex Systems , Natherlands

Dirk Helbing

Dresden Tecnical University, Insitute for Economics and Traffic, Dresden, Germany

Cristopher Moore

University of New Mexico, United States of America

Bela Novak

Budapest University of Technology and Economics, Mechanical Engineering for the Chemical Industry, Budapest, Hungary

Beata Oborny

Eotvos Lorand University , Plant Taxonomy and Ecology, Budapest, Hungary

Wim Saarloos

Catholic University of Leuven, Theoretical Physics, Leuven, Belgium

Jonathan Shapiro

University of Manchester, Dept. of Computer Science, Manchester, United Kingdom

Eors Szathmary

Collegium Budapest, Hungary

Gabor Vattay

Physics of Complex Systems, Eotvos Lorand University, Budapest, Hungary

Tamas Vicsek

Eotvos Lorand University , Budapest, Hungary

Geoffrey West

Santa Fe Institute, Los Alamos National Laboratory, Santa Fe, United States of America

Andy Wuensche

Santa Fe Institute, Santa Fe, United States of America
Guest Speaker(s): 

John Casti

Vienna Technical University, Operations Research and System Theory, Vienna, Austria

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.