An adic dynamical system related to the Delannoy numbers

2011/05/27 by Karl Petersen, Petersen, Karl
Mathematics · #05A10 #05A15 #37A25 #37A55 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #Primary: 37A05 #Secondary: 37A50 #math.DS #math.NT #msc:05A10 #msc:05A15 #msc:37A05 #msc:37A25 #msc:37A50 #msc:37A55

paper · pdf · doi:10.48550/arxiv.1105.5505

arxiv created 2011/05/27 · arxiv updated 2011/05/30

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.

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