Home
Analysis and PDE

Analysis Seminar: Anja Eidsheim

Main content

Speaker: Anja Eidsheim, student, Mathematical Department, UiB.

Title: Hausdorff Measure and the Dimension of Pretty Pictures

Abstract: This talk will be starting out with reviewing the Hausdorff outer measure and a few of its properties as a function of some important parameters, particularly the Hausdorff dimension. We will proceed to look at some sets in R^n that have fractional dimension, and how the dimension of such fractals sets are calculated. If time permits, estimating the fractal dimension of naturally occurring objects studied in other fields than mathematics might also be mentioned as a group of applications of this theory.