An adic dynamical system related to the Delannoy numbers

2011 Ergodic Theory and Dynamical Systems  
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.
doi:10.1017/s0143385711000472 fatcat:kei6ist2aberpgzku5fmkvgtxq