Nonuniqueness ing-functions |
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| Authors: | Maury Bramson Steven Kalikow |
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| Institution: | (1) Department of Mathematics, University of Wisconsin, 53706 Madison, WI, USA;(2) Mathematical Sciences Institute, Cornell University, 14853 Ithaca, NY, USA |
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| Abstract: | We give an example of two distinct stationary processes {X
n} and {X′
n} on {0, 1} for whichPX0=1|X−1=a−1,X−2=a−2, …]=PX′0=1|X′−1=a−1,X′−2=a−2, …] for all {a
i},i=−1, −2, …, even though these probabilities are bounded away from 0 and 1, and are continuous in {a
i}.
Supported in part by NSF Grant DMS 89-01545.
Supported in part by the US Army Research Office. |
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| Keywords: | |
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