Metric properties of N-continued fractions

2015/10/07 by Dan Lascu, Lascu, Dan
Mathematics · #11J70 #11K50 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11J70 #msc:11K50

paper · pdf · doi:10.48550/arxiv.1510.02052

20 pages

arxiv created 2015/10/07 · arxiv updated 2015/10/08

Abstract

A generalization of the regular continued fractions was given by Burger et al. in 2008 [3]. In this paper we give metric properties of this expansion. For the transformation which generates this expansion, its invariant measure and Perron-Frobenius operator are investigated.

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