Sums & Products of Random Matrices
Date: 27 - 31 August
Convenors: Gernot Akemann (Bielefeld, GER), Guiseppa Alfano (Turin, ITA), Friedrich Götze (Bielefeld, GER), Mario Kieburg (Bielefeld, GER)
This workshop was the second on this topic, with 53 participants from 18 countries, after a first meeting at ZiF in August 2016. It was devoted to the mathematics of sums and products of random matrices and its applications, in particular to wireless telecommunication and information theory in engineering and the stability of chaotic dynamical systems in physics. In the recent past considerable progress has been made dealing with simple functions of several random matrices, which are non-commuting objects. The mathematical tools making this possible come mainly from analysis, combinatorics, group theory or probability theory. At the same time the more refined structure of such random matrix models allows for an increasingly detailed modelling in the aforementioned applications. For example, multiplying several independent random matrices allows to describe multiple scattering events for signals emitted from an array of several antennas in communications systems, at the same time as the modelling of the discrete time evolution of the different channels in a complex dynamical system.
The intense workshop with 34 talks included long breaks for discussion over lunch, in order to foster existing and new collaborations. In the middle of the week the traditional barbeque took place on ZiF's terrace, with everybody enjoying the exceptionally warm summer in Bielefeld.
The event was part of the Bielefeld Stochastic Summer 2018 that was organized in the framework the collaborative research centre CRC 1283 'Taming uncertainty and profiting from randomness and low regularity in stochastics, analysis and applications' which is based in Bielefeld. Because of the continued success of this workshop we hope to organize a further meeting, possibly again in two years
Yacin Ameur (Lund, SWE), Octavio Arizmendi Echegaray (Guanajuato, MEX), Serban Belinschi (Toulouse, FRA), Gabriella Bonucci (Turin, ITA), Zdzisław Burda (Krakau, POL), Sungsoo Byun (Seoul, KOR), Giuseppe Caire (Berlin, GER), Burak Çakmak (Berlin, GER), Tomasz Checinski (Bielefeld, GER), Tom Claeys (Louvain-la-Neuve, BEL), Manon Defosseux (Paris, FRA), Markus Ebke (Bielefeld, GER), Vadim Gorin (Cambridge, USA), Jacek Grela (Orsay, FRA), Alan Groot (Leuven, BEL), Anna Gusakova (Bielefeld, GER), Adrien Hardy (Villeneuve dAscq, FRA), Anderson Melchor Hernandez (Pavia, ITA), Jesper R. Ipsen (Parkville, AUS), Hani Kabajah (Birzeit, PLE), Holger Kösters (Rostock, GER), Torben Krüger (Bonn, GER), Arno Kuijlaars (Leuven, BEL), Santosh Kumar (Uttar Pradesh, IND), Petra Lazić (Zagreb, CRO), Romuald Lenczewski (Wrocław, POL), Dang-Zheng Liu (Hefei, CHN), Tobias Mai (Saarbrücken, GER), Adam Mielke (Bielefeld, GER), Leslie Diëgo Molag (Leuven, BEL), Wojciech Młotkowski (Wrocław, POL), Thorsten Neuschel (Louvain-la-Neuve, BEL), Maciej Nowak (Krakau, POL), Aleksandr Yu. Orlov (Moskau, RUS), Sean D. O'Rourke (Boulder, USA), Iván Parra (Bielefeld, GER), Lamberto Rondoni (Turin, ITA), Nick Simm (Brighten, GBR), Eugene Strahov (Jerusalem (ISR), Vito Antonio Rocco Susca (London, GBR), Wojciech Tarnowski (Krakau, POL), Alexander Tikhomirow (Syktyvkar, RUS), Ivana Valentić (Zagreb, CRO), Dong Wang (Singapur, SIN), Lu Wei (Dearborn, USA), Tim Robert Würfel (Bielefeld, GER), Oleg Zaboronski (Coventry, GBR), Lun Zhang (Shanghai, CHN)