Session 0 of 26 · 5 Sep 2025 · not recorded

Introduction Session

Welcome and overview of the book and reading group format

This session was not recorded (5 Sep 2025).

No notes for this session.

The Theory of Probability

5 Sep Introduction Session Welcome and overview of the book and reading group format not recorded
9 Sep Probability Spaces (Part 1) Introduction to probability spaces and basic concepts ▶ 58 min
10 Sep Probability Spaces (Part 2) Sigma-algebras and measurable spaces ▶ 1 h 11 min
11 Sep Probability Spaces (Part 3) Probability measures and their properties ▶ 1 h 12 min
12 Sep Probability Spaces (Part 4) Random variables and distributions ▶ 1 h 14 min
13 Sep Probability Spaces (Part 5) Expectation and moments ▶ 41 min
15 Sep Session 6 ▶ 53 min
16 Sep Conditional Probability (Part 1) Basic concepts of conditional probability ▶ 58 min
17 Sep Conditional Probability (Part 2) Bayes' theorem and its applications ▶ 1 h 23 min
18 Sep Conditional Probability (Part 3) Conditional expectation ▶ 1 h 01 min
22 Sep Session 10 ▶ 1 h 05 min
23 Sep A First Look at Independence (Part 1) Introduction to independence ▶ 1 h 05 min
24 Sep A First Look at Independence (Part 2) Product measures and independent events ▶ 47 min
26 Sep A First Look at Independence (Part 4) Sums of independent random variables ▶ 1 h 07 min
27 Sep A First Look at Independence (Part 5) The law of large numbers ▶ 38 min
29 Sep Session 15 ▶ 1 h 04 min
1 Oct Probability Sieves (Part 2) Inclusion-exclusion principle ▶ 50 min
2 Oct Probability Sieves (Part 3) Erdős–Ko–Rado theorem ▶ 58 min
3 Oct Probability Sieves (Part 4) Sieve of Eratosthenes probabilistic version ▶ 1 h 04 min
4 Oct Probability Sieves (Part 5) Large sieve inequality ▶ 1 h 18 min
14 Oct The Normal Law (Part 1) Introduction to the normal distribution ▶ 43 min
15 Oct The Normal Law (Part 2) Properties of the normal distribution ▶ 1 h 03 min
17 Oct The Normal Law (Part 4) Proofs of the CLT ▶ 39 min
22 Oct Probabilities on the Real Line (Part 2) Lebesgue-Stieltjes measures ▶ 54 min
23 Oct Probabilities on the Real Line (Part 3) Convolutions and characteristic functions ▶ 59 min
25 Oct Probabilities on the Real Line (Part 5) Stable distributions ▶ 47 min
27 Oct Session 26 ▶ 37 min