Random Product Matrices

This workshop is devoted to products of random matrices. This kind of matrix ensemble is an old problem in Random Matrix Theory, studied since the 60s, but with significant new developments. Applications include the stability of ecosystems in biology, the propagation of information in wireless telecommunications and quantum computing, physical theories like chaos and quantum transport theory, and mathematical topics such as combinatorics, group theory and probability theory. Despite their broad range of applications, random product matrices are analytically demanding and progress has slowed down markedly since the mid 80s until just 3 years ago. It was then that unexpected integrable structures were revealed, yielding new insights into the global as well as local spectral statistics, and revitalizing the field. In this workshop these developments shall be highlighted, and the various communities inspired by these developments brought together. The topics comprise integrable structures in random matrix theory including free probability, orthogonal polynomial theory, supersymmetry, combinatorics and analysis and applications like wireless telecommunication and quantum information. The workshop will take place at the ZiF next to Bielefeld University in the week directly after the summer school Randomness in Physics and Mathematics.

Speakers:

G. Akemann (Bielefeld University, Germany), Octavio Arizmendi (CIMAT, Guanajuato, Mexico), Florent Benaych-Georges (Université Paris Descartes, France), Marco Bertola (Concordia University, Montreal, Canada and SISSA/ISAS, Italy), Zdzisław Burda (AGH, Krakow, Poland), Tomasz Checinski (Bielefeld University, Germany), Benoit Collins (Kyoto University, Japan), Manon Defosseux (Université Paris Descartes, France), Yan Fyodorov (King's College London, U.K.), Friedrich Götze (Bielefeld University, Germany), Alice Guionnet (École Normale Supérieure de Lyon, France), Adrien Hardy (Université des Sciences et Technologies de Lille, France), Jesper Ipsen (The University of Melbourne, Australia), Vladislav Kargin (Palo Alto, USA), Nanda Kishore Reedy (Indian Institute of Science, Bangalore, India), Holger Kösters (Bielefeld University, Germany), Arno Kuijlaars (KU Leuven, Belgium), Arul Lakshminarayan (IIT Madras, India), Dang-Zheng Liu (University of Science and Technology of China, P.R. China), Tobias Mai (Saarland University, Germany), Mylène Maïda (Université des Sciences et Technologies de Lille, France), Aris Moustakas (National & Capodistrian University of Athens, Greece), Thorsten Neuschel (Université catholique de Louvain, Belgium), Maciej A. Nowak (Jagiellonian University, Poland), Karol A. Penson (Université Pierre et Marie Curie, France), Dries Stivigny (KU Leuven, Belgium), Eugene Strahov (The Hebrew University of Jerusalem, Israel), Artur Swiech (University of Cologne, Germany), Christophe Texier (Université Paris-Sud, France), Alexander N. Tikhomirov (Komi Research Center of Ural Division of RAS, Russia), Yves Tourigny (University of Bristol, UK), Antonia M. Tulino (Nokia Bell Labs, New Jersey, USA and Università di Napoli Federico II, Italy), Dong Wang (National University of Singapore, Singapore), Lun Zhang (Fudan University, P.R. China), Karol Życzkowski (Jagiellonian University, Poland)