idw – Informationsdienst Wissenschaft
Nachrichten, Termine, Experten
Nachrichten, Termine, Experten
idw - Informationsdienst
Wissenschaft
Ecology, economics, the world of finance and the theory of learning ¬– these areas, which at first glance seem so different, have one thing in common: their complexity. They are fragile systems with many agents. One key to understanding them better is Random Matrix Theory (RMT). The international research group “The Lush World of Random Matrices” will be working from August to December at the Center for Interdisciplinary Research (ZiF) at Bielefeld University to make this theory fruitful for as many fields of research as possible. It starts on August 25 with a summer school.
"One special thing about the theory of random matrices is that it can be used in so many different contexts. It is not just a computational tool, but also provides deep theoretical insights into the properties of complex systems," explains physicist Jean-Philippe Bouchaud, professor at the École Normale Supérieure in Paris. He leads the research group together with physicist Dr. Valentina Ros, who conducts research at the Laboratoire de Physique Théorique et Modèles Statistiques at the Université Paris-Saclay. With these insights, it is possible to better understand how ecosystems react to disturbances, for example, but also how algorithms learn. The theory was originally conceived to describe quantum processes in chaotic many-body systems.
“There are so many areas in which random matrices are used that we have set ourselves the goal of bringing together researchers from different fields to exchange ideas and further develop our common tool,” says Valentina Ros. To this end, she and Jean-Philippe Bouchaud invited twenty researchers from nine countries to ZiF.
The research group will kick off with the international “Summer School on Randomness in Physics and Mathematics”, which will take place at the ZiF from August 25 to September 6. It brings together doctoral students and young postdocs from different countries from various fields of mathematics and mathematical and theoretical physics. “We are building on the success of the previous four summer schools,” reports Professor Dr. Gernot Akemann, mathematical physicist at Bielefeld University, who is organizing the event together with mathematician Professor Dr. Friedrich Götze (Bielefeld). “The program for participants consists of eight interdisciplinary lecture series, for which we have been able to invite renowned researchers as speakers.” The topics range from chaos theory to neural networks and deep learning.
The summer school will be followed by a total of three workshops: The first with the topic “Random Matrix Theory for Learning and Statistical Physics” will take place from September 8 to 12, 2025, the workshop “Random Matrix Theory for Ecology, Economics, Finance and Statistical Physics” from October 27 to 31. The series will conclude with the “Brunel-Bielefeld Workshop on Random Matrix Theory” from December 8 to 12.
The working language of the research group is English. Journalists are cordially invited to report on the event. The leaders are available for media inquiries.
Sabine Mende, Universität Bielefeld
Zentrum für interdisziplinäre Forschung (ZiF)
E-Mail: zif-conferencesupport@uni-bielefeld.de
https://www.uni-bielefeld.de/einrichtungen/zif/groups/ongoing/matrices/ Website of the research group
https://www.uni-bielefeld.de/einrichtungen/zif/events/#/event/8065 Website of the summer school
Physicists Dr Valentina Ros and Prof. Jean-Philippe Bouchaud head the research group.
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