This thesis covers the state assessment of the selected bank sections of dam reservoirs Vranov and Boskovice. Data used and processed in this thesis were acquired by visiting both sites several times in order to perform measurements and make photographic documentation. Futhermore, data on reservoirs' water levels from 2000-2011 provided by Povodí Moravy s.p. were used. In order to determine bank line regression, the above-mentioned data were processed using the Šlezingr's modification of the method of abrasion terminants determination. Results for dam reservoirs Vranov and Boskovice are then compared with results of dam reservoir Brno, which were produced by the author within the framework of his bachelor thesis using the same method. At the end of the thesis, the author presents several possible forms of stabilization and protection of disrupted banks of dam reservoirs, including their drawings.

The diploma thesis deals with the assessment of the condition of the bank area of the flooded gravel sand pit Hulín, the subsequent design of active anti-abrasion structures and the determination of the point of maximum retreat of the bank line. As part of the assessment, a personal field trip was carried out, during which, in agreement with the supervisor, a shore section was designated for the subsequent proposal of a stabilization measure and its photo documentation. From the data provided by the supervisor, the characteristics of the waves, the starting length of the wind, the level of the heel of the highest abrasive log house were calculated and the point of maximum retreat of the shoreline in the focused transverse profile of the solved section was determined graphically. Part of the diploma thesis is the design of a total of six active anti-abrasive structures, the construction of which will prevent further retreat of the shoreline and support the creation of a habitat for local animals.

The master's thesis is focused on the statistical evaluation of the most frequent level in the tank for 10 years, determining the abrasion terminant, setting retreat shoreline and bank stabilization proposals in the area of interest Svitavice on the water reservoir Letovice. The thesis consists of an accompanying report and a technical report. The accompanying report contains basic technical and administrative data, hydrology ratio and others conditions in the area of interest. In addition, the accompanying report contains a description of production and activities in wide surroundings of the tank. The technical report contains statistical evaluation of the most frequent water surface in the tank for 10 years, hydro technical calculation to determine the prognosis of the bank line recession, visualization proposal of biotechnical measures. In conclusion, an estimate cost of the proposed biotechnical measures is calculated.

Sur une variété compacte $(\cal M)$, à tout opérateur de Schrödinger $A = \Delta_g+V$ défini sur l'espace des fonctions sur $(\cal M)$, il est possible, via un procédé que l'on appelle $\zeta-$régularisation, de définir un déterminant de $A$, que nous notons $(\rm det)_\zeta A$. Nous donnons ici principalement deux résultats : le premier prouve que, à chaque tore riemannien $((\cal M),g)$ de dimension $2$, il est possible d'associer une suite $(G_n, \rho_n , \Delta_n)$, où $G_n$ est un graphe fini, qui se plonge dans $(\cal M)$ via $\rho_n$ de telle manière que $\rho_n(G_n)$ soit une triangulation de $(\cal M)$, et où $\Delta_n$ est un laplacien discret sur $G_n$ tel que pour tout potentiel $V$ sur $(\cal M)$, la suite de réels $\big( \det \Delta_n +V \big)_(n \in (\Bbb N))$ converge, après renormalisation, vers $(\rm det)_\zeta \big( \Delta_g+V \big)$. Le deuxième donne, sur toute variété riemannienne compacte $((\cal M) , g)$ de dimension inférieure ou égale à $3$, et sur laquelle le groupe d'isométrie de $g$ agit de manière transitive, un majorant (en précisant le cas d'égalité) du déterminant $(\rm det)_\zeta \big( \Delta_g + V \big)$, lorsque le potentiel $V$ est positif, qui dépend de $g$ et de la moyenne de $V$.