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 this episode physicist and capital fund manager Jean-Philippe Bouchaud Paris), quantum physicist Valentina Ros and Tobias Galla from the Institute for Cross-disciplinary Physics and Complex Systems (IFISC) at Palma de Mallorca talk about their research group at ZiF and discuss the potential of Random Matrix Theory and the challenges of interdisciplinary collaboration. 

 

Links
Jean-Philippe Bouchaud 

Tobias Galla
Homepage of the research group at ZiF