On the construction of generalized measure preserving transformations with given marginals
Ergodic Theory and Related Topics III, ISSN: 0075-8434, Vol: 1514, Page: 114-123
1992
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- Abstract Views41
Book Chapter Description
Measure preserving transformations generate stationary processes and vice versa. Which processes (X i ) correspond to the class of generalized measure preserving trans-formations? We give necessary conditions and show that they are sufficient for 2-valued processes as far as the marginals of (X0, X1, X2, X3) are concerned. The general problem remains open. Our main tool is a construction of a class of generalized measure preserving transformations which may be of independent interest.
Bibliographic Details
http://link.springer.com/10.1007/BFb0097531; http://link.springer.com/content/pdf/10.1007/BFb0097531; http://dx.doi.org/10.1007/bfb0097531; https://digitalcommons.calpoly.edu/rgp_rsr/40; https://digitalcommons.calpoly.edu/cgi/viewcontent.cgi?article=1030&context=rgp_rsr; https://dx.doi.org/10.1007/bfb0097531; https://link.springer.com/chapter/10.1007/BFb0097531; http://www.springerlink.com/index/10.1007/BFb0097531; https://link.springer.com/content/pdf/10.1007%2FBFb0097531.pdf
Springer Science and Business Media LLC
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