Calculus of Variations and Geometric Measure Theory
Mean Field Games
Isoperimetric inequalities
Rigidity of perimeter and functional inequalities under symmetrisation
Conditions for well-posedness of MFG systems
[5] F. Cagnetti, G. Domazakis, M. Perugini, F. Seuffert (2024) - Rigidity of equality cases for Pólya-Szegö inequality under circular symmetrisation (to be submitted)
[4] G. Domazakis (2024) - Rigidity for perimeter inequality under Schwarz symmetrisation (accepted in Proceedings of the Royal Society of Edinburgh Section A: Mathematics, pdf)
[3] G.I Papayiannis, G.N. Domazakis, D. Drivaliaris, S. Koukoulas, A. Tsekrekos A.N. Yannacopoulos (2021) - On clustering uncertain and structured data with Wasserstein barycenters and a geodesic criterion for the number of clusters (Journal of Statistical Computation and Simulation Vol 91, (13) 2, 569-2594 (pdf)
[2] K. Georgiou, G.N. Domazakis, D. Pappas, A.N. Yannacopoulos (2021) - Markov chain lumpability and applications to credit risk modelling in compliance with the International Financial Reporting Standard 9 framework, European Journal of Operational Research Vol 292, 3, 1146-1164 (pdf)
[1] G.N. Domazakis - On metric theory of gradient flows: the space of probability measures (Master thesis, NTUA, pdf )