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UID:www.tcs.tifr.res.in/event/477
DTSTAMP:20230914T125926Z
SUMMARY:Central Limit Theorems for Some Random Simplicial Complexes
DESCRIPTION:Speaker: Yogeshwaran Dhandapani (Technion - Israel Institute of
  Technology\nFaculty of Electrical Engineering\nHaifa\nIsrael 32000)\n\nAb
 stract: \nAbstract: In this talk\, we shall state central limit theorems
  for many local and global functionals of simplicial complexes built on va
 rious random point processes. In the first part of the talk we will con
 sider simplicial counts in Cech and Voronoi simplicial complexes for lo
 ng-range dependent point processes such as zeros of Gaussian analytic func
 tions and determinantal point processes. These functionals serve as a good
  illustration of our general central limit theorems for local functional
 s of the above point processes.\nIn the second part\, we shall restrict ou
 rselves to the ubiquitous Poisson point process but look at a very global
  functional called the Betti number. We shall show various stabilizing p
 roperties of the Betti numbers of the random Cech complex to leverage rec
 ent results on stabilizing functionals of Poisson point processes.\n
URL:https://www.tcs.tifr.res.in/web/events/477
DTSTART;TZID=Asia/Kolkata:20140331T143000
DTEND;TZID=Asia/Kolkata:20140331T153000
LOCATION:AG-80
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