Name of the project:
Analysis, probability, quantum theory, integrable systems, machine learning and their applications
Goals of project:
The goal of the project is to develop modern techniques and methods related to the problems in probability and analysis that are studied in the laboratory “Probability techniques in analysis” at SPbU. The ongoing research will be extended and embedded into the context of new research areas such as geometry, mathematical physics, signal analysis, representation theory. Among the main group of problems can be mentioned: point processes, random sequences, Schrodinger operators, random matrices, topological insulators, greedy algorithms (in approximation theory), discrete models, mathematical models related to oncology and tuberculosis research.
Project objective:
The project aims to investigate new and important problems in theory of function spaces, approximation theory, probability, representation theory, integrable systems, statistic mechanics, spectral theory, that include among others, applications of greedy algorithms in approximation problems, investigating tensor invariants of discrete and continuous dynamical systems, asymptotic behavior of planar orthogonal polynomials, spectral behavior of Schrodinger operators, universality of Airy processes, development of color correction algorithms and analysis of medical data.
Hosting organization

Field of studies

City

Invited researcher

Time span of the project


Laboratory «Nonlinear and nonlocal equations and their applications»
Peoples' Friendship University of Russia  (RUDN University) 
Maths 
Moscow 
Kuksin Sergei Borisovich
Russia, France 
20222024 
Probabilistic Methods in Analysis
Saint Petersburg State University  (SPbU) 
Maths 
St. Petersburg 
Hedenmalm Haakan Per
Sweden 
20212023 
Laboratory for Interdisciplinary Power Engineering Problems
Ulyanovsk State Technical University  (UlSTU) 
Maths 
Ulyanovsk 
Simos Theodore Elias
Greece 
20212023 