Gibbsovy procesy částic
| Thesis title in Czech: | Gibbsovy procesy částic |
|---|---|
| Thesis title in English: | Gibbs particle processes |
| Key words: | Gibbsova míra v nekonečném objemu|existence|Gibbsův proces faset|Gibbs-Laguerrova mozaika |
| English key words: | infinite-volume Gibbs measure|existence|Gibbs facet process|Gibbs- Laguerre tessellation |
| Academic year of topic announcement: | 2021/2022 |
| Thesis type: | diploma thesis |
| Thesis language: | čeština |
| Department: | Department of Probability and Mathematical Statistics (32-KPMS) |
| Supervisor: | prof. RNDr. Viktor Beneš, DrSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 05.05.2021 |
| Date of assignment: | 05.05.2021 |
| Confirmed by Study dept. on: | 11.01.2022 |
| Date and time of defence: | 10.06.2022 10:00 |
| Date of electronic submission: | 03.05.2022 |
| Date of submission of printed version: | 09.05.2022 |
| Date of proceeded defence: | 10.06.2022 |
| Opponents: | doc. RNDr. Zbyněk Pawlas, Ph.D. |
| Guidelines |
| Uchazeč se seznámí s doporučenou literaturou. Téma je teoretické matematické, bude se zabývat odvozováním vlastností speciálních modelů Gibbsovských procesů částic. |
| References |
| Schneider R., Weil W. (2008). Stochastic and Integral Geometry. Springer, Berlin.
Flimmel D., Beneš V. (2018). Gaussian approximation for functionals of Gibbs particle processes. Kybernetika 54, (4), 765-777. Beneš V., Hofer-Temmel Ch., Last G., Večeřa J. (2020). Decorrelation of a class of Gibbs particle processes and asymptotic properties of U-statistics. J. Appl. Probab. 57, 3, 928–955. |