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An adic dynamical system related to the Delannoy numbers

Published online by Cambridge University Press:  16 September 2011

KARL PETERSEN
KARL PETERSEN*
Affiliation:
Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA (email: [email protected])
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 2: Daniel J. Rudolph – in Memoriam , April 2012 , pp. 809 - 823
Copyright
Copyright © Cambridge University Press 2011

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