Syntax connects words to each other in very specific ways. Two words are syntactically connected if they depend directly on each other. Syntactic connections usually happen within a sentence. Gathering all those connection across several sentences gives birth to syntax networks. Earlier studies in the field have analysed the structure and properties of syntax networks trying to find clusters/phylogenies of languages that share similar network features. The results obtained in those studies will be put to test in this thesis by increasing both the number of languages and the number of properties considered in the analysis. Besides that, language networks of particular languages will be inspected in depth by means of a novel network analysis [25]. Words (nodes of the network) will be clustered into topological communities whose members share similar features. The properties of each of these communities will be thoroughly studied along with the Part of Speech (grammatical class) of each word. Results across different languages will also be compared in an attempt to discover universally preserved structural patterns across syntax networks.

This paper presents an analysis of the Indian stock market using a method based on embedding the network in a hyperbolic space using Machine learning techniques. We claim novelty on four counts. First, it is demonstrated that the hyperbolic clusters resemble the topological network communities more closely than the Euclidean clusters. Second, we are able to clearly distinguish between periods of market stability and volatility through a statistical analysis of hyperbolic distance and hyperbolic shortest path distance corresponding to the embedded network. Third, we demonstrate that using the modularity of the embedded network significant market changes can be spotted early. Lastly, the coalescent embedding is able to segregate the certain market sectors thereby underscoring its natural clustering ability.