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Seminar Details

Percolation

  • Start Date: October 25, 2023
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Minhao Bai - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    In this talk I'll briefly introduce percolation theory, which is in the intersection of probability theory, network theory and statistical mechanics. It's raised from this question: If we 2-color all vertices of a lattice independently, when will it contain an infinite cluster? What if we are coloring all edges instead? The answer is that there exists a threshold for this to happen. I'll introduce the basic techniques in this area and show some of the thresholds when time permits.