The Lush World of Random Matrices
The Lush World of Random Matrices
August 2025 - December 2025
Random Matrix Theory (RMT) stands out as a unifying framework at the core of seemingly unrelated fields ranging from signal processing, theoretical ecology, economics and finance, to the theory of learning and the statistical physics of disordered classical and quantum systems. Far from being a mere set of computational tools, RMT provides deep theoretical insights and a foundational understanding of various complex systems. It is key to understand the stability or fragility of complex systems with numerous interacting agents, providing a theoretical framework to capture their responses to perturbations, that may lead to significant changes in the system’s configuration with substantial rearrangements in the state of the individual components (thus describing scenarios of crises or extinctions).
In the theory of learning, it helps describing the robustness of the solutions reached by the optimization algorithms exploited in the training of artificial neural networks, as well as in characterizing how information is progressively encoded during the training process. RMT plays also a crucial role in understanding how correlations spread in quantum systems, leading to chaotic dynamics and eventual thermalization.
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/P. Ottendörfer 
Universität Bielefeld/S. Mende 
Universität Bielefeld/S. Mende
Meetings
- Summer School
Summer School on Randomness in Physics and Mathematics
25 August – 6 September 2025
Organizers:
Gernot Akemann, Friedrich Götze
Lecturers:
Benoît Collins, László Erdős, Laura Foini, Silvio Franz, Tamara Grava, Gaultier Lambert, Andrea Montanari, Ofer Zeitouni
For more information please visit: https://indico.physik.uni-bielefeld.de/event/220/.
- Workshop 1
Workshop “Random Matrix Theory for Learning and Statistical Physics”
8 – 12 September 2025
Confirmed speakers:
Pierre Bousseyroux, Zdzislaw Burda, Jiří Černý, Stephane Dartois, Federica Gerace, Jaron Kent-Dobias, Bertrand Lacroix-A-Chez-Toine, Patrick Lopatto, Bruno Loureiro, Michael Mahoney, Antoine Maillard, Jean-Christophe Mourrat, Izaak Neri, Cengiz Pehlevan, Vanessa Piccolo, Marc Potters, Mohamed El Amine Seddik, Gabriele Sicuro, Roland Speicher, Eliran Subag, Pragya Sur, Pierfrancesco Urbani
For more information please visit: https://www.uni-bielefeld.de/einrichtungen/zif/events/#/event/8068
- Workshop 2
Workshop “Random Matrix Theory for Ecology, Economics, Finance and Statistical Physics”
27 – 31 October 2025
Confirmed participants:
Sung-Soo Byun, Zdzislaw Burda, Yan Fyodorov, Thomas Guhr, Satya Majumdar, Gregory Schehr, Bhargavi Srinivasan
For more information please visit: https://www.uni-bielefeld.de/einrichtungen/zif/events/#/event/8069
- Workshop 3
“Brunel-Bielefeld Workshop on Random Matrix Theory”
8 – 12 December 2025
Random matrices serve as a powerful tool for the statistical analysis of spectral data in various fields, such as physics, mathematics, and beyond. This year's event will explore several directions, including universality in random matrix ensembles, quantum many-body chaos and multifractality, non-hermitian ensembles and their applications, applications to quantum and statistical physics.
This workshop marks the continuation of an annual series that began in 2005 at Brunel University in London. Since 2011, it has been alternating between Bielefeld and Brunel.
This year, the workshop will have an extended five-day format, serving also as the closing event of "The Lush World of Random Matrices" programme held from August to December 2025 at ZiF (Bielefeld University, Germany).
Organisers:
Gernot Akemann (University Bielefeld), Jean-Philippe Bouchaud (CFM and Académie de France, Paris), Igor Krasovsky (Imperial College London), Valentina Ros (CRNS & Université Paris-Saclay), Dmitry Savin (Brunel University, London), Igor Smolyarenko (Brunel University, London)
Lecturers:
Johannes Alt (Bonn), Alexander Altland (Cologne), Boris Altshuler (Columbia, NY), Steven Mark Anlage (Maryland), Denis Bernard (Paris), Jean-Philippe Bouchaud, John Chalker (Oxford), Christophe Charlier (Louvain), Lennart Dabelow (London), Barbara Dietz (Daejeon), Margherita Disertori (Bonn), Maurice Duits (Stockholm), Bertrand Eynard (Paris), Laura Fioni (Paris), Yan Fyodorov (London), Sven Gnutzmann (Nottingham), Ivan Khaymovich (Stockholm), Antti Knowles (Geneve), Francesco Mezzadri (Bristol), Alexander D. Mirlin, (Karlsruhe), Mira Shamis (London), Marco (Tarzia), Benedek Valko (Wisconsin Madison), Jacobus Verbaarschot (Stony Brook, NY), Thomas Wolfs (Leuven), Martin Zirnbauer (Cologne), Karol Zyczkowski (Cracow)
For more information please visit: https://indico.physik.uni-bielefeld.de/event/291/overview
Members
- Convenors
Prof. Dr. Jean-Philippe Bouchaud
Capital Fund Management, ENS ParisDr. Valentina Ros
CNRS- Fellows
Prof. Dr. Gernot Akemann
Bielefeld UniversityProf. Dr. Zdzislaw Burda
AGH University of Science and Technology, KrakowProf. Dr. Yan Fyodorov
King's College LondonJaron Kent-Dobias
ICTP South American Institute for Fundamental ResearchDr. Bertrand Lacroix-A-Chez-Toine
King's College LondonDr. Izaak Neri
King's College LondonAcc. Prof. Dr. Gabriele Sicuro
University of BolognaProf. Dr. Pierfrancesco Urbani
Université Paris-Saclay, CNRS, CEA, Institut de Physique Théorique