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Constructing Nonhomeomorphic Stochastic Flows
 
R R Darling
Constructing Nonhomeomorphic Stochastic Flows
eBook 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
Add to cart
Constructing Nonhomeomorphic Stochastic Flows
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Constructing Nonhomeomorphic Stochastic Flows
R R Darling
eBook 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
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 70; 1987; 97 pp
    MSC: Primary 60; Secondary 58
  • Table of Contents
     
     
    • 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 publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 70; 1987; 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 publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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