This pap r shows large deviation theorem for Markov chains with spatial symmetric Gr n ’s functio... more This pap r shows large deviation theorem for Markov chains with spatial symmetric Gr n ’s function.Spatial symm try and behaviour of the Martin boundary is inv stigat d.
The ERASMUS program is the most extensive cooperation network of European higher education instit... more The ERASMUS program is the most extensive cooperation network of European higher education institutions. The network involves 90% of European universities and hundreds of thousands of students. The allocated money and number of travelers in the program are growing yearly. By considering the interconnection of institutions, the study asks how the program's budget performs, whether the program can achieve its expected goals, and how the program contributes to the development of a European identity, interactions among young people from different countries and learning among cultures. Our goal was to review and explore the elements of network structures that can be used to understand the complexity of the whole ERASMUS student mobility network at the institutional level. The results suggest some socioeconomic and individual behavioral factors underpinning the emergence of the network. While the nodes are spatially distributed, geographical distance does not play a role in the network's structure, although parallel travelling strategies exist, i.e., in terms of preference of short-and long-distance. The European regions of home and host countries also affect the network. One of the most considerable driving forces of edge formation between institutions are the subject areas represented by participating institutions. The study finds that faculties of institutions are connected rather than institutions, and multilayer network model suggested to explore the mechanisms of those connections. The results indicate that the information uncovered by the study is helpful to scholars and policymakers.
The present work is the second in a series of studies in which we are going to present an unbiase... more The present work is the second in a series of studies in which we are going to present an unbiased picture on the attractivity of universities. In doing so we confined our study to Hungary, where we have access to all annual application data of students to universities and colleges. Our first study presented an unbiased one-dimensional preference list of higher educational institutions, schools and study programs alongside a bunch of methods to produce such preference lists. In the present work we report on the first results of the second stage of our project in which we investigate students ’ choice of further studies. Our database contains more than a million application entries, covers student scores, place of residence, and GDP per capita and employment data of their regions of residence. Similar economic data have been collected about the institutions as well as their indicators of academic excellence. We incorporated into the database the distance between students ' place...
This work is about observational causal discovery for deterministic and stochastic dynamic system... more This work is about observational causal discovery for deterministic and stochastic dynamic systems. We explore what additional knowledge can be gained by the usage of standard conditional independence tests and if the interacting systems are located in a geodesic space.
We present an application preference, list-based framework to Hungarian universities, which allow... more We present an application preference, list-based framework to Hungarian universities, which allows different type of flexible aggregation, and hence, analysis and clustering of application data. A novel mathematical method is developed by which preference lists can be converted into scored rankings. The proposed approach is demonstrated in the case of Hungary covering the period of 2006–2015. Our method reveals that the efforts to leverage the geographical center–periphery differences did not fulfil the expectations of policy makers. Also, it turns out that a student's top preference is very difficult to influence, while recruiters may build their strategy on the information of the first but one choice.
Summary. In this paper we consider the nearest neighbour Random Walk on infinite graphs. We discu... more Summary. In this paper we consider the nearest neighbour Random Walk on infinite graphs. We discuss the connection between the two smallest eigenvalues of the Laplacian of the graph and the diffusion speed of the RW. ... In the recent literature on graphs a new trend is apparent: the study of how spectral properties of graphs and other graph properties determining the behaviour of the RW on the graph (cf. [MW, SW]). We consider this paper as a continuation of our previous (cf. iT]). There we studied thefractal dimension d, the resistance dimension ...
This pap r shows large deviation theorem for Markov chains with spatial symmetric Gr n ’s functio... more This pap r shows large deviation theorem for Markov chains with spatial symmetric Gr n ’s function.Spatial symm try and behaviour of the Martin boundary is inv stigat d.
The ERASMUS program is the most extensive cooperation network of European higher education instit... more The ERASMUS program is the most extensive cooperation network of European higher education institutions. The network involves 90% of European universities and hundreds of thousands of students. The allocated money and number of travelers in the program are growing yearly. By considering the interconnection of institutions, the study asks how the program's budget performs, whether the program can achieve its expected goals, and how the program contributes to the development of a European identity, interactions among young people from different countries and learning among cultures. Our goal was to review and explore the elements of network structures that can be used to understand the complexity of the whole ERASMUS student mobility network at the institutional level. The results suggest some socioeconomic and individual behavioral factors underpinning the emergence of the network. While the nodes are spatially distributed, geographical distance does not play a role in the network's structure, although parallel travelling strategies exist, i.e., in terms of preference of short-and long-distance. The European regions of home and host countries also affect the network. One of the most considerable driving forces of edge formation between institutions are the subject areas represented by participating institutions. The study finds that faculties of institutions are connected rather than institutions, and multilayer network model suggested to explore the mechanisms of those connections. The results indicate that the information uncovered by the study is helpful to scholars and policymakers.
The present work is the second in a series of studies in which we are going to present an unbiase... more The present work is the second in a series of studies in which we are going to present an unbiased picture on the attractivity of universities. In doing so we confined our study to Hungary, where we have access to all annual application data of students to universities and colleges. Our first study presented an unbiased one-dimensional preference list of higher educational institutions, schools and study programs alongside a bunch of methods to produce such preference lists. In the present work we report on the first results of the second stage of our project in which we investigate students ’ choice of further studies. Our database contains more than a million application entries, covers student scores, place of residence, and GDP per capita and employment data of their regions of residence. Similar economic data have been collected about the institutions as well as their indicators of academic excellence. We incorporated into the database the distance between students ' place...
This work is about observational causal discovery for deterministic and stochastic dynamic system... more This work is about observational causal discovery for deterministic and stochastic dynamic systems. We explore what additional knowledge can be gained by the usage of standard conditional independence tests and if the interacting systems are located in a geodesic space.
We present an application preference, list-based framework to Hungarian universities, which allow... more We present an application preference, list-based framework to Hungarian universities, which allows different type of flexible aggregation, and hence, analysis and clustering of application data. A novel mathematical method is developed by which preference lists can be converted into scored rankings. The proposed approach is demonstrated in the case of Hungary covering the period of 2006–2015. Our method reveals that the efforts to leverage the geographical center–periphery differences did not fulfil the expectations of policy makers. Also, it turns out that a student's top preference is very difficult to influence, while recruiters may build their strategy on the information of the first but one choice.
Summary. In this paper we consider the nearest neighbour Random Walk on infinite graphs. We discu... more Summary. In this paper we consider the nearest neighbour Random Walk on infinite graphs. We discuss the connection between the two smallest eigenvalues of the Laplacian of the graph and the diffusion speed of the RW. ... In the recent literature on graphs a new trend is apparent: the study of how spectral properties of graphs and other graph properties determining the behaviour of the RW on the graph (cf. [MW, SW]). We consider this paper as a continuation of our previous (cf. iT]). There we studied thefractal dimension d, the resistance dimension ...
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