A condition for the equivalence of coupling and shift coupling
Cranston, M. ; Wang, Feng-Yu
Ann. Probab., Tome 28 (2000) no. 1, p. 1666-1679 / Harvested from Project Euclid
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It is proved in this paper that a weak parabolic Harnack inequality for a Markov semigroup implies the existence of a coupling and a shift coupling for the corresponding process with equal chances of success. This implies equality of the tail and invariant $\sigma$-fields for the diffusion as well as equality of the class of bounded parabolic functions and the class of bounded harmonic functions.
Publié le : 2000-10-14
Classification:  Coupling,  shift coupling,  parabolic inequality,  tail $\sigma$-field,  invariant $\sigma$-field,  60J60,  60J45. 
@article{1019160502,
     author = {Cranston, M. and Wang, Feng-Yu},
     title = {A condition for the equivalence of coupling and shift
		 coupling},
     journal = {Ann. Probab.},
     volume = {28},
     number = {1},
     year = {2000},
     pages = { 1666-1679},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1019160502}
}

Cranston, M.; Wang, Feng-Yu. A condition for the equivalence of coupling and shift
		 coupling. Ann. Probab., Tome 28 (2000) no. 1, pp.  1666-1679. http://gdmltest.u-ga.fr/item/1019160502/