Title: Some topics of topological measure theory with application in stochastic analysis Author: Pavel Kříž Department: Department of Probability and Mathematical Statistics Supervisor: Prof. RNDr. Josef Štěpán, DrSc., Department of Probability and Mathematical Statistics Abstract: This work studies identifications of values of probability limits based on trajectories of convergent (random) sequences. The key concept is the so called Probability Limit Identification Function (PLIF). The main concern is focused on the existence of PLIFs, mainly those, which are measurable and adapted. We also study in more detail special cases, when the convergence in probability and the convergence almost surely coincide. Furthermore, possible applications of the PLIF concept in stochastic analysis (path-wise representations of stochastic integrals and weak solutions of the stochastic differential equations), as well as in estimation theory (the existence of strongly consistent estimators) are outlined. The achieved results are based on analyses of the topologies on spaces of measures, spaces of random variables and spaces of real-valued functions. Keywords: Probability Limit, Identification, Almost-sure Convergence 1

This work is dealing with the historical utilization of wood and wood products selected by dendrochronological dating of selected economic buildings . The aim was to explore what kind of wood is the most commonly used for this type of product on the purpose to compare the results with the literature. Selected articles and dating of objects are situated in the area at the Village Museum of Southeast Moravia in Strážnice. For clarity, the products were divided into the two categories (furniture and farming products). Dated object of the building was originally drive-through from Hrušky. Anatomical identification was conducted in some subjects macroscopically within the museum. Among other subjects, samples were taken which were then determined in a laboratory microscope. The dating of samples of the main elements of the barn was performed according to standard dendrochronological methodology. Total results 1080 samples from 302 selected subjects. It has been identified 23 kinds of trees (4 conifers, broadleaves 4 with circularly porous structure, 15 broadleaves with scattered porous structure). Coniferous trees were primarily used for production of commodes and chests. For the production of dugout product was dominated use rather soft trees, especially poplar. Other farming products were manufactured primarily from wood with higher density (beech, ash, oak and elm). An interesting feature was the using of the fruit trees (cherry-tree, apple-tree, plum) or fewer frequently used trees (cornel, hazel) Investigated barn has been dated to the period after 1856. Use of such an amount of trees pointed out that domestic producers were not using it just their availability in the region, but also with regard to their physical and mechanical properties and their own experiences.

The thesis summarizes the current knowledge about the class Branchiobdellae including their anatomy, ecology and geographic distribution with respect to the presence of introduced species in Europe. Using samples of Branchiobdellidan obtained from two introduced species of crayfish caught in a pond near Čáslavice u Moravských Budějovic (signal crayfish, Pacifastacus leniusculus) and in Černíský stream (eastern crayfish, Orconectes limosus), two out of seven European species of Branchiobdellidan were identified, namely B. parasita with 100% presence in the eastern crayfish and 58.7% presence in the signal crayfish, and B. pentodonta with 41.3% presence. Based on data collected from the caught crayfish and samples of Branchiobdellidan, the individual weight of eastern crayfish was proved to influence the quantity and biomass of Branchiobdellidan on the body of crayfish (p<0.001), i.e. increased quantity and biomass of Branchiobdellidan was found on more robust specimens of crayfish, however the effect of gender was not statistically significant. With respect to the signal crayfish, a significant difference was observed in the quantity and biomass of Branchiobdellidan depending on the weight of the crayfish (p<0.001), and the influence of the gender of the crayfish was detected (p<0.001), i.e. the quantity and biomass of Branchiobdellidan was higher on the surface of male specimens of crayfish. The presence of eggs in some female signal crayfish had no significant effect on the quantity and biomass of Branchiobdellidan (p=0.052), however in combination with the weight, the influence of the presence or absence of eggs was proved (p=0.011), more robust females showed increased quantity and biomass of Branchiobdellidan.

This thesis focuses on the topic of RFID - radio frequency identification of objects. The theoretical part is focused on the definition and history of RFID systems, the main components of this technology, regulation and standards in the use of RFID, categories of RFID and its implementing into business processes. The theoretical part also describes the costs of RFID, potential benefits arising from its implementation and examples of areas in which RFID technology is applied. The practical part deals with the implementation of RFID in a particular company and describes situation of the company before and after the RFID implementation. Furthermore, practical part summarizes the results of interviews with employees of the company and a listing of key benefits that RFID has brought. At the end of the practical part the author proposes some improvements to the existing use of RFID system.

The goal of this work was to develop a simple and inexpensive method for evaluating the content of valuable volatile substances in the waste products of aromatic plants based on using of electronic nose prototype constructed in the Czech University of Life Sciences. A literature review engaged the current issue of the use of essential oils, possibilities for production and summarizes information about the currently utilized electronic noses. The methodology described functions and structures of used prototype of electronic nose. Testing of the prototype of the electronic nose have been done by measurement of the substances standards contained in essential oils (anisole, carvacrol, B-pinene, B-citronellol, carvone) and model waste materials (oregano, lemon balm, anise, caraway, mountain pine needles). The measured values were used to make quantitative and qualitative analyzes which were used to assess the functioning of the electronic nose. The hypothesis of this work was to claim that the electronic nose, which was developed at the Czech University of Life Sciences, can be used for evaluation and recognition of valuable volatile substances contained in waste products of aromatic plants. Quantitative analysis showed that some of the sensors are able to respond well to a change in concentration of the measured substance. Qualitative analysis showed that the electronic nose is capable of distinguishing between different materials and can identify previously measured material among others. Electronic nose despite the lower quality of the components used and the overall low cost of its construction have demonstrated great potential for assessing the content and identification of volatile compounds. Conclusion is that there are several changes and improvements, especially in the software for measured data processing, that have to be made in the future.

The thesis is focused on problematic of risk management process. This topic is frequently ignored in number of firms in Czech Republic. The aim of this thesis is to evaluate the system of risk management based on analyzing in a company of AWIGO s.r.o. and in case of deficiencies propose own solution. The diploma thesis is divided into two parts, theoretical and practical. The theoretical part is based on the processing of literature research from the technical literature, summarizes the basic concepts and then explains the process of analysis and risk management in companies and other organizations. The practical part analyzes the specific company. In the company ran an interview with three respondents. The interview outlined the current status of the company's risk management. For the evaluation of the real state of risk management was used an internal documents dealing with risk management. After analyzing the status of the proposed solution containing the identification of the fundamental risks for the areas in which the company is engaged. Individual identified risks are assessed according to established criteria set out on my own experiences and observations from the position of temporary worker and consultations with experts in the area of company business. In conclusion of this thesis are given evaluations and recommendations based on previous analysis of risk management in the company. The main proposal is to start using risk management and appropriately adjust the responsibilities and duties within the company.

The diploma thesis is focused on the topic of managerial competencies and competency models, as a particular combination of competencies that are necessary for the effective performance of the work. Managerial competencies are in this thesis specifically focused on the competencies of the project manager. The aim of the diploma thesis is based on an analysis to identify the competencies of the project manager and on this basis to develop generic competency model of project manager. The theoretical basis of the work is focused mainly on the issues of the concept of competence, the development, use and types of competencies. Further are processed concepts of the area of managerial competencies and project management on the basis of literature and Internet resources on this topic. Own part is based on analysis of documents, which is the basis for compiling the survey, whose result is a list of selected competencies important for work as a project manager. Based on the list of important competencies is compiled generic competency model project manager. In conclusion summarizes the results from own part.

The thesis is focused on risk management, which should devote every manufacturing and non-manufacturing business. The main objective is to describe and evaluate the risk management process in the company with a focus on fire risks and risks related to traffic safety and to suggest possible improvements. The work is divided into theoretical and practical part. In the theoretical part the notion of risk, it´s types and impact of risks on business entity. The practical part includes the basic characteristics of the company, described the risk management process and documentation related to this process. From the analysis of documentation and qualitative research include the measures. The conclusion indicated evaluate the risk management process and overall suggestions for improvement.

The political aspects of local government, case study of municipality Mirovice thesis is focused on the issue of elections to municipal Mirovice in the period between 2002 and 2014 and the voting behaviour of its inhabitants, turnout in comparison with the results from the entire district Písek and in total with the Czech Republic. The aim is to verify the applicability of the models of electoral behaviour of the population in local elections. The theoretical part contains definitions of basic concepts such as democracy, the characteristics of self-government, elections and electoral behaviour. The Practical part includes characterization of the municipality Mirovice, characteristics of its inhabitants and their participation in elections. To confirm or reject the suitability of the theory of voting behaviour the both positive and negative relations with elected parties, we will make survey as a part of the practical part of the thesis. The satisfaction of local citizens with the work of city councils takes the thesis also into consideration.

The thesis analyses the elections and electoral behaviour of the citizens of the town Volary in the period from 1996 to 2014. The behaviour of the voters was studied not only from the election results of the municipal elections but parliamentary elections as well. Several theoretical propositions, including the consistency of the voters' social status were verified. Moreover the work describes the differences of electoral behaviour based on the division into various socioeconomic groups in connection with the left and the right wing of the political spectre. Furthermore the work reviews the theory whether the local voters tend to the left or right values and deals with the stability or instability of their electoral behaviour.