An adic dynamical system related to the Delannoy numbers

Details An adic dynamical system related to the Delannoy numbers An adic dynamical system related to the Delannoy numbers

2011-05-27

arxiv.org/abs/1105.5505v1

Mathematics

Dynamical Systems

Scientific paper

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.

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