GRK 1132:  Stochastics and Real World Models

• Subject Area: Mathematics
• Term: from 2006 to 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 772176

Random phenomena appear in many aspects of our present day world, in its scientific description and its technological and societal transformation, sometimes as a small perturbation, but sometimes also as a force of great impact. Hence it is not surprising that stochastics, the mathematical theory of random processes, has grown in great strides since its inception by (e.g.) Bachelier (economics), Einstein (physics) and Norbert Wiener (mathematics, information processing) in parallel with the explosion of science and technology in the past century. The International Research Training Group originated at the Research Center BiBoS (Bielefeld-Bonn-Stochastics) which has been an active contributor to this field of research. In the past 20 years it has hosted hundreds of scientists from all over the world. Collaboration started in this way between the two spokesmen of the research training center - in 1992, jointly with S. Albeverio they were awarded a Max Planck Research Award for their joint work. The role of mathematics as a computational and also conceptual "toolbox" for other fields of research is apparent. However, the transfer of results, concepts and models from mathematics to other fields of research is not a one-way flow. Many domains of pure mathematical research have been motivated by questions first posed in a wide variety of "real world" disciplines, from the classical example of astronomy to the much more recent one of zoology. To profit from the inspiration inherent in this lively two-way exchange of ideas we shall link stochastics research with two of its fields of application: physics and economics. For both fields it is true that stochastic methods play a fundamental role, and they have, and still are, stimulating mathematical research considerably. And there is an important third point: The triangle of research partners is closed. In recent years, based on the recognition of a growing amount of jointly used modelling concepts, the dialogue between the two fields of applications is increasingly recognised as being fruitful - the emerging discipline of "econophysics" underscores this point.

• DFG Programme: International Research Training Groups
• International Connection: China
• Applicant Institution: Universität Bielefeld
• IRTG-Partner Institution: Department of Mathematics ; Beijing Normal University; Chinese Academy of Sciences ; Academy of Mathematics and System Science ; Institute of Applied Mathematics
• Spokesperson: Professor Dr. Michael Röckner
• IRTG-Partner: Spokesperson: Professor Dr. Zhi-Ming Ma
• Cooperation Partners: Professor Mu-Fa Chen; Professor Zhao Dong; Professor Dr. Fu-Zhou Gong; Dr. Qing-Yang Guan; Dr. Kai He; Professor Dr. Shun-Long Luo; Privatdozent Dr. Dejun Luo; Professor Dr. Shige Peng; Professor Dr. Yongsheng Song; Professor Feng-Yu Wang; Professor Dr. Jianming Xia; Dr. Mingyu Xu; Professor Dr. Gui-Ying Yan; Professor Dr. Jia-An Yan
• Participating Researchers: Professor Dr. Philippe Blanchard; Professor Dr. Herbert Dawid; Professorin Dr. Barbara Gentz; Professor Dr. Alexander Grigoryan; Professor Dr. Friedrich Götze; Professor Dr. Rolf Moritz Kaßmann; Professor Dr. Yuri G. Kondratiev; Professor Dr. Frank Riedel; Professor Dr. Walter Trockel