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Constructing Nonhomeomorphic Stochastic Flows

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Electronic ISBN: 978-1-4704-0796-4
Product Code: MEMO/70/376.E
List Price: $23.00 MAA Member Price:$20.70
AMS Member Price: $13.80 Click above image for expanded view Constructing Nonhomeomorphic Stochastic Flows Available Formats:  Electronic ISBN: 978-1-4704-0796-4 Product Code: MEMO/70/376.E  List Price:$23.00 MAA Member Price: $20.70 AMS Member Price:$13.80
• Book Details

Memoirs of the American Mathematical Society
Volume: 701987; 97 pp
MSC: Primary 60; Secondary 58;

• Chapters
• Part I. Introduction
• 1. Background
• 2. Outline of the main results
• 3. Pure stochastic flows
• Part II. Construction of a pure stochastic flow with given finite-dimensional distributions
• 4. Convolution of measures with respect to composition of functions
• 5. A projective system for building a pure stochastic flow
• 6. Existence theorem for pure stochastic flows
• Part III. Construction of a stochastic flow assuming almost no fixed points of discontinuity
• 7. Probability measures with almost no fixed points of discontinuity
• 8. Fluid Radon probability measures and their convolution
• 9. Existence theorem for pure stochastic flows assuming almost no fixed points of discontinuity
• Part IV.
• 10. Construction of a convolution semigroup of probability measures from finite dimensional Markov processes
• Part V. Covariance functions and the corresponding sets of finite-dimensional motions
• 11. Algebraic properties of the covariance function
• 12. Constructing the finite-dimensional motions
• 13. Stochastic continuity in the non-isotropic case
• 14. Stochastic continuity and coalescence in the isotropic case
• 15. The one-dimensional case
• 16. An example in dimension two (due to T. E. Harris)
• Part VI. The geometry of coalescence
• 17. Coalescence times and the coalescent set process
• Appendix A. Baire sets, Borel sets, and Radon probability measures
• Appendix B. Projective systems of probability spaces
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 701987; 97 pp
MSC: Primary 60; Secondary 58;
• Chapters
• Part I. Introduction
• 1. Background
• 2. Outline of the main results
• 3. Pure stochastic flows
• Part II. Construction of a pure stochastic flow with given finite-dimensional distributions
• 4. Convolution of measures with respect to composition of functions
• 5. A projective system for building a pure stochastic flow
• 6. Existence theorem for pure stochastic flows
• Part III. Construction of a stochastic flow assuming almost no fixed points of discontinuity
• 7. Probability measures with almost no fixed points of discontinuity
• 8. Fluid Radon probability measures and their convolution
• 9. Existence theorem for pure stochastic flows assuming almost no fixed points of discontinuity
• Part IV.
• 10. Construction of a convolution semigroup of probability measures from finite dimensional Markov processes
• Part V. Covariance functions and the corresponding sets of finite-dimensional motions
• 11. Algebraic properties of the covariance function
• 12. Constructing the finite-dimensional motions
• 13. Stochastic continuity in the non-isotropic case
• 14. Stochastic continuity and coalescence in the isotropic case
• 15. The one-dimensional case
• 16. An example in dimension two (due to T. E. Harris)
• Part VI. The geometry of coalescence
• 17. Coalescence times and the coalescent set process
• Appendix A. Baire sets, Borel sets, and Radon probability measures
• Appendix B. Projective systems of probability spaces
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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