Soo, T;
(2019)
Finitary isomorphisms of some infinite entropy Bernoulli flows.
Israel Journal of Mathematics
, 232
(2)
pp. 883-897.
10.1007/s11856-019-1890-6.
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Abstract
A consequence of Ornstein theory is that the infinite entropy flows associated with Poisson processes and continuous-time irreducible Markov chains on a finite number of states are isomorphic as measure-preserving systems. We give an elementary construction of such an isomorphism that has an additional finitariness property, subject to the additional conditions that the Markov chain has a uniform holding rate and a mixing skeleton.
| Type: | Article |
|---|---|
| Title: | Finitary isomorphisms of some infinite entropy Bernoulli flows |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s11856-019-1890-6 |
| Publisher version: | https://doi.org/10.1007/s11856-019-1890-6 |
| 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. |
| 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/10089490 |
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