La première partie présente des calculs explicites de terminaison effective de l'algorithme de Kohn proposée par Siu. Dans la deuxième partie, nous étudions la géométrie des hypersurfaces réelles dans Cⁿ, et nous calculons des invariants explicites avec la méthode d'équivalences de Cartan pour déterminer les lieux CR-ombilics. / The first part of the thesis consists of calculations around Siu's effective termination of Kohn's algorithm. The second part of the thesis studies the CR real hypersurfaces in complex spaces and calculates various explicit invariants using Cartan's equivalence method to study CR-umbilical points.

The thesis presents a numerical study of magnetocrystalline anisotropies in dilute ferromagnetic semiconductors and transition metal systems intended to advance the current understanding of the microscopic origins of this relativistic effect and to contribute to the development of spintronic devices with new functionalities. The major part of the work surveys magnetocrystalline anisotropies in (Ga,Mn)As epilayers and compares the calculations to available experimental data. Our model is based on an envelope function description of the valence band holes and a spin representation for their kinetic-exchange interaction with localised electrons on Mn2+ ions, treated in the mean-field approximation. For epilayers with growth induced lattice-matching strains we study in-plane to out-of-plane easy axis reorientations as a function of Mn local-moment concentration, hole concentration, and temperature. Next we focus on the competition of in-plane cubic and uniaxial anisotropies. We add an in-plane shear strain to the effective Hamiltonian in order to capture measured data in bare, unpatterned epilayers, and we provide microscopic justification for this approach. The model is then extended by an in-plane uniaxial strain and used to directly describe experiments with magnetisation direction controlled by...

The diploma thesis deals with an urban study on the territory of Červený kopec, specifically in the part of the territory of Stráň. It is a locality stated as a brownfield Kohnova cihelna. The proposal aims to make the most of the potential of this site, which lies in its proximity to the city center, the neighborhood of the national natural monument, a significant area of greenery and the views that this place provides due to its topographic situation. A new city district is proposed on the area of 18 hectares, which would cover one of the "brownfield holes" on the map of the city of Brno and at the same time help against the outflow of population to the outskirts of the city and against the creation of urban satellites. Numerous public opinion polls show that they would like to live close to the city, but at the same time especially young families long for their own house in a quiet countryside location. Therefore, a compact development of terraced houses, terrace villas and blocks of flats with private courtyards is proposed here, complemented by quality public space and civic amenities. This new city district would offer housing for about 3,500 new residents.