Generalities, preliminary results -- Young measures, the four stable topologies: S, M, N, W -- Convergence in probability of Young measures (with some applications to stable convergence) -- Compactness -- Strong tightness -- Young measures on Banach spaces. Applications -- Applications in Control Theory -- Semicontinuity of integral functionals using Young measures -- Stable convergence in limit theorems of probability theory

1. Mathematics
2. Functional analysis
3. Measure theory
4. Calculus of variations
5. Probabilities
6. Topology
7. Mathematics
8. Measure and Integration
9. Calculus of Variations and Optimal Control; Optimization
10. Probability Theory and Stochastic Processes
11. Topology
12. Functional Analysis