Reading Groups
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 .
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 Poincar茅 inequality. (Theo)
19/11 Sec. 1.3 - Qualitative homogenization with stationary random fields I. (Aria)
26/11 Sec. 1.3 - Qualitative homogenization with stationary random fields II. (Spyridon)
03/12 Sec. 1.3 - Qualitative homogenization with stationary random fields III. (Lukas)
10/12 Sec. 1.4 - Variational Approach to stochastic homogenization. (Oleg)
Term 2
07/01 Recap and plan (Harry)
14/01 Sec 2.2 - Invariance principle for Diffusions in Random Environment I. (Aria)
21/01 Sec 2.2 - Invariance principle for Diffusions in Random Environment II. (Usman)
28/01
04/02 Sec 1.4 - The variational approach. (Giuseppe)
11/02 Sec 4.1 - Coarse grained coefficients I. (Pablo)
18/02 Sec 4.2 - Coarse grained coefficients II. (Theo)
25/02 Sec 3&4.2 - Contractions for sum. (Harry)
04/03 SPECIAL GUEST: Scott Armstrong "An overview of coarse graining theory for elliptic operators"
11/03 Sec 4.3 - Algebraic Rate of decay. (Lukas)
18/03 Sec 4.3 - Algebraic Rate of decay. (Lukas)