Florian Timmermann

Excursion Sets of Random Fields and its Applications Florian Timmermann

Research Paper from the year 2011 in the subject Mathematics - Stochastics, grade: 1,0, University of Ulm, language: English, comment: This work is an updated version of the diploma thesis of the author. In its original form it was awarded by the Horbach Award (Förderpreis). , abstract: This work combines two beautiful branches of mathematics: geometry and random fields. The mathematical basics needed to understand the theory are developed carefully. Enriched with illustrative examples an easily implementable method for the analysis of a wide range of surfaces, e.g. paper or metallic surfaces, is provided and therefore suits for direct application.