TY  - BOOK
AU  - Darling,R.W.R.
TI  - Constructing nonhomeomorphic stochastic flows
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470407964 (online)
AV  - QA274.2 .D37 1987
U1  - 519.2 19
PY  - 1987///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Stochastic analysis
N1  - "November 1987, volume 70, number 376 (fourth of 6 numbers)."; Bibliography: p. 96-97; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0376
UR  - http://dx.doi.org/10.1090/memo/0376
ER  -