Book contents
- Frontmatter
- Contents
- PREFACE
- INTRODUCTION
- CHAPTER I PRELIMINARIES AND NOTATION
- CHAPTER II KOLMOGOROV'S THEOREM, TOTOKI'S THEOREM, AND BROWNIAN MOTION
- CHAPTER III THE INTEGRAL: ESTIMATES AND EXISTENCE
- CHAPTER IV SPECIAL CASES
- CHAPTER V THE CHANGE OF VARIABLE FORMULA
- CHAPTER VI STOCHASTIC INTEGRAL EQUATIONS
- CHAPTER VII STOCHASTIC DIFFERENTIAL EQUATIONS ON MANIFOLDS
- CHAPTER VIII REGULARITY
- CHAPTER IX DIFFUSIONS
- APPENDIX A MANIFOLDS AND FIBRE BUNDLES
- APPENDIX B SOME DIFFERENTIAL GEOMETRY USING THE FRAME BUNDLE
- APPENDIX C SOME MEASURE THEORETIC TECHNICALITIES
- REFERENCES
- INDEX
- Notation and Abbreviations
CHAPTER I - PRELIMINARIES AND NOTATION
Published online by Cambridge University Press: 05 May 2013
- Frontmatter
- Contents
- PREFACE
- INTRODUCTION
- CHAPTER I PRELIMINARIES AND NOTATION
- CHAPTER II KOLMOGOROV'S THEOREM, TOTOKI'S THEOREM, AND BROWNIAN MOTION
- CHAPTER III THE INTEGRAL: ESTIMATES AND EXISTENCE
- CHAPTER IV SPECIAL CASES
- CHAPTER V THE CHANGE OF VARIABLE FORMULA
- CHAPTER VI STOCHASTIC INTEGRAL EQUATIONS
- CHAPTER VII STOCHASTIC DIFFERENTIAL EQUATIONS ON MANIFOLDS
- CHAPTER VIII REGULARITY
- CHAPTER IX DIFFUSIONS
- APPENDIX A MANIFOLDS AND FIBRE BUNDLES
- APPENDIX B SOME DIFFERENTIAL GEOMETRY USING THE FRAME BUNDLE
- APPENDIX C SOME MEASURE THEORETIC TECHNICALITIES
- REFERENCES
- INDEX
- Notation and Abbreviations
Summary
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- Stochastic Differential Equations on Manifolds , pp. 1 - 13Publisher: Cambridge University PressPrint publication year: 1982