Controlled Spin-Flip Systems
Gray, Lawrence
Ann. Probab., Tome 6 (1978) no. 6, p. 953-974 / Harvested from Project Euclid
We introduce a new tool into the study of spin-flip processes, which we call controlled spin-flip systems. For each spin-flip process we define a related class of controlled spin-flip systems. Our main theorem states that bounds on the behavior of a spin-flip process can be obtained by studying the behavior of the related controlled spin-flip system. Since controlled spin-flip systems are in general easier to work with than regular spin-flip processes (they correspond to finite state space Markov processes), our main theorem has applications to some of the important problems concerning spin-flip processes. In particular, we discuss several applications to the uniqueness problem. These include proofs of some new results, as well as new proofs of earlier results.
Publié le : 1978-12-14
Classification:  Spin-flip process,  controlled spin-flip systems,  martingale problem,  60K35
@article{1176995386,
     author = {Gray, Lawrence},
     title = {Controlled Spin-Flip Systems},
     journal = {Ann. Probab.},
     volume = {6},
     number = {6},
     year = {1978},
     pages = { 953-974},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995386}
}
Gray, Lawrence. Controlled Spin-Flip Systems. Ann. Probab., Tome 6 (1978) no. 6, pp.  953-974. http://gdmltest.u-ga.fr/item/1176995386/