We solve a random matrix ensemble called the chiral Ginibre orthogonal ensemble, or chGinOE. This non-Hermitian ensemble has applications to modelling particular low-energy limits of two-colour quantum chromo-dynamics (QCD). In particular, the matrices model the Dirac operator for quarks in the presence of a gluon gauge field of fixed topology, with an arbitrary number of flavours of virtual quarks and a non-zero quark chemical potential. We derive the joint probability density function (JPDF) of eigenvalues for this ensemble for finite matrix size N, which we then write in a factorised form. We then present two different methods for determining the correlation functions, resulting in compact expressions involving Pfaffians containing the associated kernel. We determine the microscopic large-N limits at strong and weak non-Hermiticity (required for physical applications) for both the real and complex eigenvalue densities. Various other properties of the ensemble are also investigated, including the skew-orthogonal polynomials and the fraction of eigenvalues that are real. A number of the techniques that we develop have more general applicability within random matrix theory, some of which we also explore in this thesis.

Industrial hall with storage outbuilding. The length of the hall is 72 meters and width of 30 meters. The main hall has a span 24 meters and the outbuilding has a span 6m. The distance between primary steel frame is 6 meters. The height of the main hall is 10.7 meters and a height of outbuilding is 13.0 metres. The roof is flat with roof slope of 3.5% the main hall and 8.75% outbuilding. The structural system of the hall's bar structure. Primary steel frame is designed as a steel frame rafter with eaves haunch. In the roof structure are designed purlins. The stability of the structure is secured by roof braces and longitudinal braces. The hall is pin-supported on the foundation pad. The hall is clad wall and roof panels PUR. Main hall is equipped with a bridge crane with capacity of 8 tons.

This diploma thesis is based on preparation of the implementation of Kelčský Javorník Lookout Tower in Rajnochovice. The main idea of the lookout tower constructing is to increase the local tourism. Diploma thesis assesses the whole project and it is focused on the foundation of the rough lower construction and also on assembly of the higher construction. Planning was assessed in terms of time, finance and in terms of the use of material resources. The quality of construction will be ensured by created inspection and test plans. To increase the overall service life of the structures, a scheduled maintenance schedule was designed. A variant solution of electricity supply was proposed, which will shorten the construction time, reduce the total construction costs and the overall maintenance of the building during its lifetime.