CRM-PIMS Summer School in Probability


May-June 2021 -- Course Information





Course Outline  


See here.


Time and Location  


See schedule.


Course text  


I am writing notes.


Additional material  



Assignments  


Will be posted here.

All assignments questions are from my lecture notes unless otherwise indicated. Assignment questions - Week 1

  • Monday - Exercises 1.1.2, 1.2.1, 1.2.2 and 1.2.3
  • Tuesday - Exercises 1.4.1, 1.4.2 and 1.4.3
  • Thursday - Exercises 1.3.2, 1.3.3 and 1.3.4
  • Friday - Exercises 1.5.1,1.5.2
Assignment questions - Week 2
  • Monday - continuation of Friday exercises
  • Tuesday - Exercises 2.2.1, 2.3.4, 2.4.1, 2.5.2 (a), (b)
  • Thursday - Exercises 2.5.3 (a), 3.2.4,3.2.5
  • Friday - Exercises 3.2.6,3.2.7 (a),(b)
Assignment questions - Week 3
  • Monday - Exercises 3.3.3,3.3.4
  • Tuesday - Exercise 3.3.5, and Exercise 6 from Kavita Ramanan first exercise sheet. Note there is a typo in the exercise: in the probability it should say "connected", not "disconnected".
  • Thursday - Exercises 4.2.2, 4.2.5 and Exercise 4 from Kavita Ramanan's second exercise sheet.
  • Friday - Show that the free minimum spanning forest of an infinite graph need not be connected.
  • Monday - Exercises given during lecture
  • Tuesday - Exercises given during lecture
  • Thursday - Exercises 4.6.1, 4.6.2, 4.6.3
  • Friday - Exercise 4.6.4



Lecture Schedule/summary