Approximating Minkowski space with random partial orders
Event details
| Date | 12.10.2016 |
| Hour | 16:15 › 17:30 |
| Speaker | Jan Cristina (EPFL) |
| Location |
MA-10
|
| Category | Conferences - Seminars |
Abstract: A causal set is a locally finite partially ordered set, where we identify the partial order with causal precedence. Random partial orders can be constructed using random point processes in a space with a well defined causal structure. Work by Bollobas and Brightwell examined random partial orders arising from a poisson process in a unit diamond in Minkowski space and showed that the height of the partial order of density $\lambda$ converges to $c_{d}\lambda^{1/d}$ where $c_{d}$ depends only on the dimension. Combing this with a notion of Gromov--Hausdorff distance for Lorentzian spaces developed by Noldus, and denoted $d_{N}$ we can show that the random partial order of density $\lambda$ converges in the sense of Noldus to Minkowski space on any compact set in probability as the density tends to infinity.
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Marc Troyanov
Contact
- Marc Troyanov