Project title: Convex geometry and geometric probability

Project identifier: NKFIH projet no. 150151 (ADVANCED_24)

Recipient institution: University of Szeged

Project duration: Januar 1, 2025 - December 31, 2028

Funding: 46 308 000 HUF

Principal investigator: Prof. Dr. Ferenc Fodor

Summary: The proposal aims to study classical questions in convex and stochastic geometry which arise in vaious random models, in particular, approximation of convex bodies by random convex polytopes. Recently, such questions have received increasing attention due to their appearance in computer models and simulations as well as their connection with spatial point processes. Such geometric constructions are widely used in telecommunications, visualization, planning processes, and traffic control. The main goal of the project is to obtain a better, more precise understanding of geometric properties of random point sets in both the uniform and more general models, in Euclidean, spherical, and hyperbolic spaces. We also intend to study the stability versions of several classical geometric inequalities and extremal and convexity properties of hyperplane sections of convex bodies.

"Project no. 150151 has been implemented with the support provided by the Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation Fund, financed under the ADVANCED_24 funding scheme."