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Young measures on topological spaces : with applications in control theory and probability theory / Charles Castaing, Paul Raynaud de Fitte and Michel Valadier.

By: Contributor(s): Material type: TextTextSeries: Mathematics and its applications ; v 571.Publication details: Dordrecht : Kluwer Academic Publishers, ©2004.Description: xi, 320 pages ; 25 cmISBN:
  • 9781402019630
Subject(s): DDC classification:
  • 514.3 23 C346
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 514.3 C346 (Browse shelf(Opens below)) Available 138080
Total holds: 0

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.

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.

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