Timeline for Different uses of the word "ergodic"
Current License: CC BY-SA 3.0
6 events
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| Mar 8, 2014 at 13:10 | comment | added | Algernon | A more common terminology for Markov processes is to call a process ergodic if it has a unique invariant measure that attracts all the other measure. This again is not consistent with the terminology of ergodic theory but consistent with Boltzmann's usage, don't you think? | |
| Jul 21, 2013 at 1:42 | comment | added | Tim | R W: I have the same question. Thanks for the nice clarification. (1) What is the definition of "mixing" in ergodic theory used in your reply? (2) Is a Markov chain generated by a measure-preserving mapping? I know a measure-preserving mapping can generate a stationary process, but I don't know if it can also generate a (homogeneous?) Markov chain ? Thanks. | |
| Sep 4, 2011 at 22:28 | comment | added | Anthony Quas | As you say, the more consistent definition (and I think the way I learned it) of ergodicity for Markov chains is to say that ergodic is a synonym for irreducible. | |
| Sep 4, 2011 at 21:34 | vote | accept | Daniel Mansfield | ||
| Sep 4, 2011 at 9:49 | history | edited | R W | CC BY-SA 3.0 |
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| Sep 4, 2011 at 9:36 | history | answered | R W | CC BY-SA 3.0 |