Fractal sets
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| D01FRA_EN | ZK | English |
- Garant předmětu:
- Ondřej Zindulka
- Lecturer:
- Ondřej Zindulka
- Tutor:
- Supervisor:
- Department of Mathematics
- Synopsis:
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Metric and topology of Euclidean spaces. Examples of fractal sets: Cantor set, Sierpinski triangke and carpet, Koch curve, Menger sponge. Elementary measure theory. Lebesgue measure, Hausdorff measure. Box-counting and Hausdorff dimension. Calculation of dimension. Examples. Self-similar sets. Iterated function systems. Hutchison operator. Attractors. Collation Theorem. Barnsley fern and other self-affine sets.
- Requirements:
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
- Note:
- Time-table for winter semester 2023/2024:
- Time-table is not available yet
- Time-table for summer semester 2023/2024:
- Time-table is not available yet
- The course is a part of the following study plans: