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math.DS2011
The structure and spectrum of Heisenberg odometers
Samuel Lightwood, Ayse A. Sahin, Ilie Ugarcovici
In recent work Cortez and Petite defined odometer actions of discrete, finitely generated and residually finite groups G. In this paper we focus on the case where G is the discrete…
math.DS2011★ 1 cited
Applications of (a,b)-continued fraction transformations
Svetlana Katok, Ilie Ugarcovici
We describe a general method of arithmetic coding of geodesics on the modular surface based on a two parameter family of continued fraction transformations studied previously by th…