Young Measures on Topological Spaces With Applications in Control Theory and Probability Theory /

• Main Authors: Castaing, Charles (Author), Fitte, Paul Raynaud de (Author), Valadier, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2004.
• Series: Mathematics and Its Applications ; 571
• Subjects: Mathematics.; Functional analysis.; Measure theory.; Calculus of variations.; Probabilities.; Topology.; Measure and Integration.; Calculus of Variations and Optimal Control; Optimization.; Probability Theory and Stochastic Processes.; Functional Analysis.

Table of Contents:

• 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.