Probabilities and Potential, C
eBook - ePub

Probabilities and Potential, C

Potential Theory for Discrete and Continuous Semigroups

  1. 415 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Probabilities and Potential, C

Potential Theory for Discrete and Continuous Semigroups

About this book

This third volume of the monograph examines potential theory. The first chapter develops potential theory with respect to a single kernel (or discrete time semigroup). All the essential ideas of the theory are presented: excessive functions, reductions, sweeping, maximum principle. The second chapter begins with a study of the notion of reduction in the most general situation possible - the ``gambling house'' of Dubins and Savage. The beautiful results presented have never been made accessible to a wide public. These are then connected with the theory of sweeping with respect to a cone of continuous functions, and the integral representation in compact convex sets. The third chapter presents new or little-known results, with the aim of illustrating the effectiveness of capacitary methods in the most varied fields. The last two chapters are concerned with the theory of resolvents.The fourth and last part of the English edition will be devoted to the theory of Markov processes.

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Yes, you can access Probabilities and Potential, C by C. Dellacherie,P.-A. Meyer in PDF and/or ePUB format, as well as other popular books in Matemáticas & Ciencias computacionales general. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright page
  5. Preface to the English edition
  6. Preface to the French edition (Chapters IX-XI Chapter X Chapter XI)
  7. Chapter IX: Kernels and Excessive Functions
  8. Chapter X: The Theory of Reductions and Sweeping
  9. Chapter XI (Appendix to chapter X): New Methods in Capacity Theory Applications to Gambling Houses
  10. Chapter XII: Semigroups and Resolvents
  11. Chapter XIII: Construction of Resolvents and Semigroups
  12. Commentaries and Historical Notes
  13. Bibliography
  14. Index of Notation
  15. Index of Terminology
  16. Additions and corrections to preceding volumes