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[ 201ANASFRAU24 ] UE Fractals
Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS B3 - Bachelor's programme 3. year Mathematics Richard Lechner 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Students are familiar with various types of fractals and can apply methods of analysis and probability theory to them.
Skills Knowledge
  • Define iterated function systems and determine their Hausdorff dimension
  • Calculate and manage conditional expectations
  • Know and apply general properties of Brownian motion
  • Know and apply ergodic theorems (to fractals)
Iterated function systems, Hausdorff measure, Hausdorff dimension, self-similar sets, Markov chains, ergodic theorems, normal numbers, Brownian motion, Julia sets, Mandelbrot set
Criteria for evaluation
Language English and French
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WAUEFRAK: UE Fractals (2010W-2024S)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment