Náhodné uzavřené množiny a procesy částic
| Thesis title in Czech: | Náhodné uzavřené množiny a procesy částic |
|---|---|
| Thesis title in English: | Random closed sets and particle processes |
| Key words: | náhodná množina, bodový proces, konvexní okruh, kladný dosah |
| English key words: | random set, point process, convex ring, positive reach |
| Academic year of topic announcement: | 2011/2012 |
| Thesis type: | diploma thesis |
| Thesis language: | čeština |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. RNDr. Jan Rataj, CSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 03.11.2011 |
| Date of assignment: | 06.12.2011 |
| Confirmed by Study dept. on: | 06.09.2013 |
| Date and time of defence: | 08.09.2014 00:00 |
| Date of electronic submission: | 31.07.2014 |
| Date of submission of printed version: | 31.07.2014 |
| Date of proceeded defence: | 08.09.2014 |
| Opponents: | doc. RNDr. Zbyněk Pawlas, Ph.D. |
| Guidelines |
| Student nastuduje potřebné kapitoly z teorie náhodných uzavřených množin a bodových procesů. Poté se pokusí zobecnit větu o reprezentaci stacionární náhodné uzavřené množiny jako sjednocení procesu částic. |
| References |
| Schneider R., Weil W.: Stochastic and Integral Geometry, Springer, Berlin 2008
Zähle, M.: Curvature measures and random sets. II. Probab. Theory Relat. Fields 71 (1986), 37–58 Molchanov, I: Random Closed Sets, Springer, New York, 2005 |