2024-2025 Quantitative Stochastic Homogeneization

During this and the next semester, we will be learning about quantitative stochastic homogeneisation. The set of lecture notes to be discussed can be found hereLink opens in a new window.

The reading group takes place every Tuesday from 3-4 in B3.01 of the Zeeman building.

Term 1

01/10 Introduction. (Harry)

08/10 Sec 1.1 - Periodic Homogeneization. (Harry)

15/10 Sec 1.1 - Two-scale expansion. (Giuseppe)

22/10 Sec 1.1 - Two-scale expansion. (Giuseppe)

29/10 Sec 1.1 - Homogeneization of Dirichlet Problems. (Pablo)

05/11 Sec. 1.2 - Ergodic Theorems. (Theo)

12/11 Sec. 1.2 - Multiscale Poincaré inequality. (??)

19/11 Sec. 1.3 - Qualitative homogenization with stationary random fields I. (Spyridon)

26/11 Sec. 1.3 - Qualitative homogenization with stationary random fields II. (??)

03/12 Sec. 1.3 - Qualitative homogenization with stationary random fields III. (Lukas)

10/12 Sec. 1.4 - Variational Approach to stochastic homogenization. (Oleg)