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Constructing Nonhomeomorphic Stochastic Flows
eBook ISBN:  9781470407964 
Product Code:  MEMO/70/376.E 
List Price:  $23.00 
MAA Member Price:  $20.70 
AMS Member Price:  $13.80 
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Constructing Nonhomeomorphic Stochastic Flows
eBook ISBN:  9781470407964 
Product Code:  MEMO/70/376.E 
List Price:  $23.00 
MAA Member Price:  $20.70 
AMS Member Price:  $13.80 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 70; 1987; 97 ppMSC: 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 finitedimensional 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 finitedimensional motions

11. Algebraic properties of the covariance function

12. Constructing the finitedimensional motions

13. Stochastic continuity in the nonisotropic case

14. Stochastic continuity and coalescence in the isotropic case

15. The onedimensional 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


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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 finitedimensional 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 finitedimensional motions

11. Algebraic properties of the covariance function

12. Constructing the finitedimensional motions

13. Stochastic continuity in the nonisotropic case

14. Stochastic continuity and coalescence in the isotropic case

15. The onedimensional 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
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