TY - BOOK AU - Castaing,Charles AU - Raynaud de Fitte,Paul AU - Valadier,Michel TI - Young measures on topological spaces: with applications in control theory and probability theory T2 - Mathematics and its applications SN - 9781402019630 U1 - 514.3 23 PY - 2004/// CY - Dordrecht PB - Kluwer Academic Publishers KW - Topological spaces N1 - Includes bibliographical references and indexes; 1. Generalities, preliminary results -- 2. Young measures, the four stable topologies : S, M, N, W -- 3. Convergence in probability of Young measures (with some applications to stable convergence) -- 4. Compactness -- 5. Strong tightness -- 6. Young measures on Banach spaces. Applications -- 7. Applications in control theory -- 8. Semicontinuity of integral functionals using Young measures -- 9. Stable convergence in limit theorems of probability theory N2 - This monograph provides a unified presentation of the theory, along with new results and applications in various fields. It can serve as a reference on the subject. Young measures are presented in a general setting which includes finite and for the first time infinite dimensional spaces: the fields of applications of Young measures (Control, Theory, Calculus of Variations, Probability Theory ...) are often concerned with problems in infinite dimensional settings ER -