Manfred Einsiedler: Catalogue data in Autumn Semester 2018

Award: The Golden Owl
Name Prof. Dr. Manfred Einsiedler
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 64.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 31 84
E-mailmanfred.einsiedler@math.ethz.ch
URLhttp://www.math.ethz.ch/~einsiedl
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-3110-68LFractal Geometry Information Restricted registration - show details
Number of participants limited to 12.
Registration to the seminar will only be effective once confirmed by the organisers. Please contact roland.prohaska@math.ethz.ch.
4 credits2SM. Einsiedler, further speakers
AbstractIntroductory seminar about the mathematical foundations of fractal geometry and its applications in various areas of mathematics
Learning objective
ContentFoundations:
- classical examples
- notions of dimension and their calculation
- local structure
- projections, products, intersections

Possible Applications:
- Dynamical Systems: iterated function systems, self-similar and self-affine sets
- Pure Mathematics: the Kakeya problem, fractal groups and rings, graphs of functions
- Complex Dynamics: Julia sets and the Mandelbrot set, Vitushkin's conjecture
- Number Theory: distribution of digits, continued fractions, Diophantine approximation
- Probability Theory: random fractals, Brownian motion
LiteratureKenneth Falconer: Fractal Geometry, Mathematical Foundations and Applications.
Prerequisites / NoticePrerequisites: Content of the first two years of the ETH Bachelor program in mathematics, especially measure theory and topology. Some applications require complex analysis and probability theory.

In order to obtain the 4 credit points, each student is expected to give two 1h-talks and regularly attend the seminar.
401-3461-00LFunctional Analysis I