Soo, T;
(2017)
A monotone isomorphism theorem.
Probability Theory and Related Fields
, 167
(3-4)
pp. 1117-1136.
10.1007/s00440-016-0700-x.
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Abstract
In the simple case of a Bernoulli shift on two symbols, zero and one, by permuting the symbols, it is obvious that any two equal entropy shifts are isomorphic. We show that the isomorphism can be realized by a factor that maps a binary sequence to another that is coordinatewise smaller than or equal to the original sequence.
| Type: | Article |
|---|---|
| Title: | A monotone isomorphism theorem |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00440-016-0700-x |
| Publisher version: | https://doi.org/10.1007/s00440-016-0700-x |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Sinai factor theorem, Ornstein theorem, Stochastic domination, Monotone coupling, Burton–Rothstein |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10089491 |
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