The Laboratory «Probability Techniques in Analysis» was established in June, 2021, following the 8th mega-grant competition of the Ministry of Science and Higher Education of the Russian Federation.
The aim of the Laboratory is to develop modern research at the intersection of mathematical analysis, probability and statistical physics. The laboratory is comprised of several research groups:
• Håkan Hedenmalm and Nikolai Makarov are working on determinantal processes and their applications in the random matrix theory, Coulomb gas and hydrodynamics;
• Pavel Wiegmann and Steven Zelditch are studying inverse problems in the potential theory, quantum hydrodynamics and quantum gravity;
• Anton Baranov and Yurii Belov are investigating applications of complex analysis to problems in time-frequency analysis and operatgor theory.
In addition there is an ongoing research related to applications of complex analysis to hydrodynamics and information transmission.
Håkan Hedenmalm, professor at Kungliga Tekniska Högskolan (Sweden)
Anton Baranov, professor at SPbU
Yurii Belov, professor at SPbU
Pavel Wiegmann, professor at the University of Chicago (USA)
Steven Zelditch, professor at the North-Western University (USA)
Yurii Lyubarskii, professor at SPbU
Nikolai Makarov, professor at the California Institute of Technology (USA)
Vladimir Peller, professor at SPbU
Alexei Poltoratskii, professor at the University of Wisconsin-Madison (USA)