Noise Sensitivity of Boolean Functions and Percolation

1. Boolean functions and key concepts
2. Percolation in a nutshell
3. Sharp thresholds and the critical point
4. Fourier analysis of Boolean functions
5. Hypercontractivity and its applications
6. First evidence of noise sensitivity of percolation
7. Anomalous fluctuations
8. Randomized algorithms and noise sensitivity
9. The spectral sample
10. Sharp noise sensitivity of percolation
11. Applications to dynamical percolation
12. For the connoisseur
13. Further directions and open problems.