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Comparative Analysis of Indian States
Mačejovský, Alexander ; Cahlík, Tomáš (advisor) ; Irinkov, Pavel (referee)
The crucial role of elementary education for development of individuals and the society can be hardly overrated. Yet in spite of all proclaimed efforts of Indian government focused on achieving universal school enrolment of 6 to 14 years old children, there are still more out-of-school children in India than in any other country in the world. Previous literature dedicated to the problem of elementary education enrolment and retention in India concentrated mainly on the influence of household and individual characteristics on enrolment decisions. The role of school quality received less attention. This thesis aims to bring more light on the effects that supply-side factors have had on enrolment rates in states and union territories of India throughout the 2008/09-2015/16 period. In addition, their impact on progress and retention of students in elementary education is also examined. The findings indicate that investing in building new classrooms or in textbooks incentives has been an effective approach in enhancing the examined outcomes, while factors like small schools or low education of teachers are among problems requiring special attention. Surprisingly, higher number of teachers has no evident positive relation with higher enrolment or retention of students, which might suggest an urgent need for...
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Comparative Analysis of Indian States
Mačejovský, Alexander ; Cahlík, Tomáš (advisor) ; Irinkov, Pavel (referee)
The crucial role of elementary education for development of individuals and the society can be hardly overrated. Yet in spite of all proclaimed efforts of Indian government focused on achieving universal school enrolment of 6 to 14 years old children, there are still more out-of-school children in India than in any other country in the world. Previous literature dedicated to the problem of elementary education enrolment and retention in India concentrated mainly on the influence of household and individual characteristics on enrolment decisions. The role of school quality received less attention. This thesis aims to bring more light on the effects that supply-side factors have had on enrolment rates in states and union territories of India throughout the 2008/09-2015/16 period. In addition, their impact on progress and retention of students in elementary education is also examined. The findings indicate that investing in building new classrooms or in textbooks incentives has been an effective approach in enhancing the examined outcomes, while factors like small schools or low education of teachers are among problems requiring special attention. Surprisingly, higher number of teachers has no evident positive relation with higher enrolment or retention of students, which might suggest an urgent need for...
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Covariant Loop Quantum Gravity
Irinkov, Pavel ; Hinterleitner, Franz (advisor) ; Svítek, Otakar (referee)
In this thesis we offer a broad introduction into loop quantum gravity against the backdrop of the quantum gravity research as a whole. We focus on both the canonical and covariant version of the theory. In the latter version we investigate the dynamics of some simple configurations in the simplified setting of Ponzano-Regge model. We ascertain that the naïve approach to define a consistent dynamics, where the path integral's partition function is computed as a sum of amplitudes corresponding to all boundary and bulk states, fails in this case, on account of an appearance of divergences. This opens up space for the utilization of some more sophisticated methods.
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Construction of a quantum finance model of option premia
Irinkov, Pavel ; Krištoufek, Ladislav (advisor) ; Avdulaj, Krenar (referee)
Last twenty years have seen a tremendous growth of the financial mar- kets both in trading volumes and in sophistication of instruments. This ever-increasing complexity of the market structure necessitates use of math- ematically advanced models from the side of market participants. So far, the prevalent paradigm for these models has been the stochastic analysis as a branch of applied mathematics. In the last few years however, there has been an influx of purely physical concepts and methodology, constituting nascent field of econophysics. To what extent this new approach is useful remains, however, an open question. In my bachelor thesis I will focus on one subfield of econophysics, namely quantum finance. First, I will give an overview of both stochastic analysis and the new quantum finance paradigm. Then using the framework of quantum theory and quantum field theory I will construct a model of European stock options. 1
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Symmetries of anti-de Sitter universe and spaces obtained by identification along these symmetries
Irinkov, Pavel ; Krtouš, Pavel (advisor) ; Svítek, Otakar (referee)
Topological black holes in 2 + 1-dimensional AdS spacetime have seen a grad- ual increase in popularity over the last 20 years by their virtue of being one of the appropriate models to tackle the conceptual issues of quantum gravity in relatively simple setting. This work develops the classification of isometries of 2 + 1-dimensional anti-de Sitter spacetime and subsequently gives account of the solutions of the Einstein equations obtained by identifications along particular adapted coordinates. Special attention is paid to the Poincaré coordinates and extremal black holes and to a specific description of phase transition between conical singularities and black holes. 1
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