An introduction to mathematical finance with applications

Abstract

The present thesis has as main objective the presentation of compositional techniques developed by the author with the use of random methods and distribution of the material generated in layers and blocks as tools in the aid of generation of parameterized musical events. For this, it was made a survey and a discussion of related compositional processes of this work as that one of the composer Iannis Xenakis. In addition to the techniques and the resultant musical pieces of this process, an original contribution is program XNKS, created and developed during the research and in the compositions presented here. Particularly, we present the compositional system used by the author in the elaboration of piece EVENTVM III which is described in details in this work.