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An adic dynamical system related to the Delannoy numbers
Published online by Cambridge University Press: 16 September 2011
Abstract
We introduce an adic (Bratteli–Vershik) dynamical system based on a diagram whose path counts from the root are the Delannoy numbers. We identify the ergodic invariant measures, prove total ergodicity for each of them, and initiate the study of the dimension group and other dynamical properties.
- Type
- Research Article
- Information
- Ergodic Theory and Dynamical Systems , Volume 32 , Issue 2: Daniel J. Rudolph – in Memoriam , April 2012 , pp. 809 - 823
- Copyright
- Copyright © Cambridge University Press 2011
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