Probabilistic Method

PhD / masters Course, 5hp, Autumn 2026, Uppsala University

This course covers the theoretical basis for random graphs and general techniques to analyse random discrete structures.

Topics to include : Random graph models, First and Second Moment methods, Thresholds / Phase transitions, Analysis of Random Algorithms, Alterations, Lovász Local Lemma, Graphons / Graph limits, Correlation Inequalities, Janson Inequalities, Concentration of Measure, Non-concentration of Measure, Entropy methods.


Lecturers:

Anda Skeja (homepage) and Fiona Skerman (homepage)


Please contact Fiona to be added to the course page on studium. This is a PhD / master's course running Sep - Dec this year. Master's students may take as a special topics course in math or stats 1MA344 or 1MS051. This is a faculty wide course (link) students with a wide range of backgrounds are welcome.


Schedule
Tue Sep 0813:00 - 15:00Room 64119
Tue Sep 1513:00 - 15:00Room 64119
Tue Sep 2213:00 - 15:00Room 64119
Fri Sep 2510:00 - 12:00Room 64119
Tue Sep 2913:00 - 15:00Room 74118
Fri Oct 0210:00 - 12:00Room 64119
Tue Oct 0610:00 - 12:00Room 64119
Fri Oct 0910:00 - 12:00Room 64119
Tue Oct 1313:00 - 15:00Room 74118
Fri Oct 1610:00 - 12:00Room 64119
Tue Oct 2013:00 - 15:00Room 64119
Fri Oct 2310:00 - 12:00Room 64119
Tue Nov 0310:00 - 12:00Room 64119
Thu Nov 0515:00 - 17:00Room 64119
Tue Nov 1010:00 - 12:00Room 64119
Thu Nov 1215:00 - 17:00Room 64119
Tue Nov 1713:00 - 15:00Room 64119
Thu Nov 1915:00 - 17:00Room 64119
Mon Nov 2313:00 - 15:00Room 64119
Thu Nov 2615:00 - 17:00Room 64119
Lecture notes

(will appear here as course progresses)