No abstract available.
Monday, August 29th, 2022
No abstract available.
Tuesday, August 30th, 2022
No abstract available.
Wednesday, August 31st, 2022
Thursday, September 1st, 2022
Abstract: This lecture covered the differential equation method. We first defined Wormald's Theorem, then applied it to calculate the distribution of bin sizes in a balls and bins process, and finally applied it to study the distribution of run lengths in a Schelling segregation model. The talk was not recorded, but here are some resources if you would like to learn about these techniques:
1) My own lecture notes and slides.
2) "A Gentle Introduction to the Differential Equation Method and Dynamic Concentration" by Patrick Bennet and Andrzej Dudek on applying the differential equation method to a balls and bins process. The first part of this lecture was based on Section 3.
3) "An Analysis of One-Dimensional Schelling Segregation" by Christina Brandt, Nicole Immorlica, Gautum Kamath, Robert D. Kleinberg (see also video of conference presentation), on applying the differential equation method to show that Schelling swap-style dynamics can be well approximated by flip dynamics for sufficiently long. The second part of this lecture was based on Section 3.2 and Appendix A.3.
Friday, September 2nd, 2022
No abstract available.