Graduate Seminar S4F4 Topics in percolation


M. Disertori, M. Mihailescu

location: Room: Endenicher Allee 60 SR 1.008

time: Wednesday 8(c.t.)-10 

Description: see here

Prerequisites:  basic notions in probability measures

Plan talks:

  1. 16.04  Introduction
  2. 23.04 Non-triviality of the critical phenomenon
  3. 30.04 Exponential decay in the subcritical regime
  4. 07.05 Uniqueness of the infinite component in the supercritical regime
  5. 21.05 Continuity properties of θ
  6. 28.05 Random walk on the infinite connected cluster
  7. 04.06 pc in dimension two (Part I)
  8. 18.06 pc in dimension two (Part II)
  9. 25.06  Polynomial decay at criticality in dimension two
  10. 02.07 Beyond Bernoulli percolation: FK percolation and connection with Ising and Potts model

 


Literature: selected parts of
• G. Grimmet: ”Percolation”, 1999.
• H. Duminil-Copin: ”Introduction to Bernoulli percolation”, 2022 

                                         https://www.unige.ch/~duminil/publi/2017percolation.pdf
 

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