Probabilities and potential C : potential theory for discrete and continuous semigroups / Claude Dellacherie and Paul-André Meyer ; translated and prepared by J. Norris.

By:

Dellacherie, Claude

Contributor(s):

Language: English Original language: French Series: North-Holland mathematics studies ; 151.1988Description: 1 online resource (xiv, 416 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780444703866
0444703861
9780080872629
008087262X

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Print version:: Probabilities and potential C.LOC classification:

QA273 .D3713 1988eb

Online resources:

Click here to access online

Contents:

Front Cover; Probabilities and Potential C; Copyright Page; Contents; CHAPTER IX. KERNELS AND EXCESSIVE FUNCTIONS; CHAPTER X. THEORY OF REDUCTIONS AND SWEEPING; CHAPTER XI. (APPENDIX TO CHAPTER X): NEW METHODS IN CAPACITY THEORY, APPLICATIONS TO GAMBLING HOUSES; CHAPTER XII. SEMIGROUPS AND RESOLVENTS; CHAPTER XIII. CONSTRUCTION OF RESOLVENTS AND SEMIGROUPS; COMMENTARIES AND HISTORICAL NOTES; BIBLIOGRAPHY; INDEX OF NOTATIONS; INDEX OF TERMINOLOGY; ADDITIONS AND CORRECTIONS TO THE PRECEDING VOLUMES.

Summary: 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.

Item type:

eBooks

Average rating: 0.0 (0 votes)

Holdings ( 0 )
Title notes ( 6 )

No physical items for this record

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.

Translation of: Probabilités et potentiel C.

Includes bibliographical references (pages 387-407) and indexes.

Print version record.

Elsevier ScienceDirect All Books