arXiv:1105.5505 Abstract | arXiv Analytics

arXiv:1105.5505 [math.DS]Abstract References Reviews Resources

An adic dynamical system related to the Delannoy numbers

Published 2011-05-27Version 1

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.

Categories: math.DS, math.NT

Subjects: 37A05, 37A25, 05A10, 05A15, 37A50, 37A55

Keywords: adic dynamical system, delannoy numbers, ergodic invariant measures, path counts, total ergodicity

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