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SUMMARY:Approximating Minkowski space with random partial orders
DTSTART:20161012T161500
DTEND:20161012T173000
DTSTAMP:20260502T010204Z
UID:6d1a4c1e8f1fc3cdfb94ed5de788d92bab9971ce2fceeb0e6dd9fee6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jan Cristina (EPFL)\nAbstract:  A causal set is a locally fin
 ite partially ordered set\, where we identify the partial order with causa
 l precedence.  Random partial orders can be constructed using random poin
 t processes in a space with a well defined causal structure.  Work by Bol
 lobas and Brightwell examined random partial orders arising from a poisson
  process in a unit diamond in Minkowski space and showed that the height o
 f 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 noti
 on of Gromov--Hausdorff distance for Lorentzian spaces developed by Noldus
 \, and denoted $d_{N}$ we can show that the random partial order of densit
 y $\\lambda$ converges in the sense of Noldus to Minkowski space on any co
 mpact set in probability as the density tends to infinity.
LOCATION:MA-10
STATUS:CONFIRMED
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