Investigation of chaotic behavior, with special attention to the phenomenon of critical states and intermittency.

In quantum mechanical systems, on the one hand, we investigated the density of states in Andreev billiards using semiclassical and direct methods, analyzing the relationship between the two. We studied their classical dynamics and the relationship with quantum states. On the other hand, we investigated the motion of electrons in a two-dimensional electron gas in a system containing magnetic domains. We determined the quantum states. As a third direction in this area, we investigate the Aharonov-Bohm scattering in a system containing magnetic vortices in a tight binding description on both a square lattice and a graphene lattice.