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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…
math.DS2010★ 1 cited
Structure of attractors for (a,b)-continued fraction transformations
Svetlana Katok, Ilie Ugarcovici
We study a two-parameter family of one-dimensional maps and related (a,b)-continued fractions suggested for consideration by Don Zagier. We prove that the associated natural extens…