Importance of tourism for the modern economy

Die vorliegende Arbeit gibt über die Bedeutung der Tourismusindustrie in der heutigen Zeit Aufschluss. Im Laufe der Arbeit wird der Einfluss des Tourismus auf ausgewählte Aspekte der Wirtschaft dargestellt und untersucht. Außerdem erfolgt eine Analyse und Untersuchung dieses Einflusses an einem konkreten Beispiel, der Türkei

Persistence Diagrams of Cortical Surface Data

We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy multivariate data including geometric noise. The main tool is persistent homology which can be encoded in persistence diagrams. These diagrams visually show how the number of connected components of the sublevel sets of the signal changes. The use of local critical values of a function differs from the usual statistical parametric mapping framework, which mainly uses the mean signal in quantifying imaging data. Our proposed method uses all the local critical values in characterizing the signal and by doing so offers a completely new data reduction and analysis framework for quantifying the signal. As an illustration, we apply this method to a 1D simulated signal and 2D cortical thickness data. In case of the latter, extra homological structures are evident in an control group over the autistic group