Hausdorffova dimenze některých množin
| Thesis title in Czech: | Hausdorffova dimenze některých množin |
|---|---|
| Thesis title in English: | Hausdorff dimension of certain sets |
| Key words: | Hausdorffova míra, Hausdorffova dimenze, Cantorovo diskontinuum, soběpodobnost, Kochova křivka |
| English key words: | Hausdorff measure, Hausdorff dimension, Cantor set, self-similarity, Koch curve |
| Academic year of topic announcement: | 2016/2017 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | doc. RNDr. Miroslav Zelený, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 06.06.2016 |
| Date of assignment: | 10.06.2016 |
| Confirmed by Study dept. on: | 17.06.2016 |
| Date and time of defence: | 20.06.2017 00:00 |
| Date of electronic submission: | 17.05.2017 |
| Date of submission of printed version: | 19.05.2017 |
| Date of proceeded defence: | 20.06.2017 |
| Opponents: | prof. RNDr. Jiří Spurný, Ph.D., DSc. |
| Guidelines |
| Student by se měl seznámit s pojmem Hausdorffova dimenze a vypočítat Hausdorffovou dimenzi pro některé množiny. |
| References |
| Rogers, C. A., Hausdorff measures, Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1998. ISBN 0-521-62491-6
Falconer, K. J., The geometry of fractal sets, Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge, 1986 ISBN 0-521-25694-1. |