Research

At the Department of Mathematics of FNSPE there are currently 4 acting groups:

• GAMS Group of Applied Mathematics and Stochastics
The group is interested primarily in the study of physical, biological and social systems, methods of mathematical statistics, mathematical analysis and probability theory. This study is based mainly on statistical analysis of information (coming from transport monitoring, detection of materials, social monitoring, etc.), formulation of theoretical transport models and the research of their respective analytic solutions, mathematical methods of defectoscopy, probability approximations of small social groups, the study of so-called Φ-divergences, mathematical models of pedestrian movement, panic models, etc.
• MAFIA Methods of Algebra and Functional Analysis in Applications
The group is focused predominantly on investigations of physical, biological, and social systems and their mathematical representations using the methods of mathematical statistics, mathematical analysis and probability theory. The corresponding research is based on advanced methods of statistical analysis of empirical data (coming from vehicular-traffic monitoring, detection of defects in materials, social monitoring, etc.), formulation of theoretical transport models and analyses of their analytic solutions, mathematical methods for defectoscopy, probability approximations for small social groups, the study of so-called Φ-divergences, mathematical models for pedestrian movement, panic models, etc.
• MMG Mathematical Modelling Group
The activities of the group are devoted to the development of advanced methods in scientific computing, mathematical modelling and numerical simulation of complex phenomena in high-tech design, environment protection and computer science. The group participates in the research and development as well as high education of young experts in the engineering mathematics. The group makes part of the Department of Mathematics. The collaboration is developed with the well established universities and institutes worldwide as well as with industrial corporations worldwide.
• TIGR Theoretical Informatics Group
The group focuses on current topics of discrete mathematics with applications in computer science and physics. These topics include, for instance, non-standard representation of real numbers, combinatorics on words, and aperiodic space tilings. The original motivation for the addressed problems was the investigation of mathematical models of quasicrystals. But with time, the main focus of interest became combinatoric, algebraic, numerical and theoretical problems with application in computer science. The results find application in data compression, cryptography, quasicrystal modelling or text processing.