An adic dynamical system related to the Delannoy numbers (Q2908159)
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scientific article; zbMATH DE number 6076553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An adic dynamical system related to the Delannoy numbers |
scientific article; zbMATH DE number 6076553 |
Statements
An adic dynamical system related to the Delannoy numbers (English)
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4 September 2012
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Delannoy adic shift
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invariant measure
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totally ergodic
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A specific example of a non-stationary but in other ways highly regular adic system, the Delannoy adic, is studied. There is an interesting account of how the author came to be interested in these (and related) systems, and for two graphs -- the Nichomachus and the Delannoy graph -- the invariant measures for the associated adic system are studied. For the latter, it is shown that each ergodic measure is totally ergodic and the dimension group is computed.
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