Brief description of the course: this course will give a first introduction to several families of point

processes, focussing in particular on the properties of repulsion and rigidity of point processes. 

Course topics:

• Poisson point process

• Cox process

• Zeros of random polynomials

• Determinantal point process

• Critical points of Gaussian fields

• Point processes and continuum percolation

Suggested books:

• Geoffrey Grimmett, Probability and Random Processes. Oxford University Press (2001)
  

• Hough, Krishnapur, Peres, Vira ́g, Zeros of Gaussian Analytic Functions and Determinantal
  

  Point Processes. American Mathematical Society (2009)