An adic dynamical system related to the Delannoy numbers
type: Item
instance of: scholarly article
title: An adic dynamical system related to the Delannoy numbers
zbMATH Open document ID: 1257.37006
DOI: 10.1017/S0143385711000472
published in: Ergodic Theory and Dynamical Systems
publication date: 2012-09-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/1105.5505
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 05A99
zbMATH DE Number: 6076553
zbMATH Keywords: Delannoy adic shift
zbMATH Keywords: invariant measure
zbMATH Keywords: totally ergodic
author: Karl Petersen
describes a project that uses: OEIS
MaRDI profile type: Publication
arXiv ID: 1105.5505
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cites work: Asymptotics of multivariate sequences. I: Smooth points of the singular variety
review text: A specific example of a non-stationary but in other ways highly regular adic system, the Delannoy adic, is studied. There is an interesting account of how the author came to be interested in these (and related) systems, and for two graphs -- the Nichomachus and the Delannoy graph -- the invariant measures for the associated adic system are studied. For the latter, it is shown that each ergodic measure is totally ergodic and the dimension group is computed.
reviewed by: Thomas B. Ward
description: scientific article; zbMATH DE number 6076553