Distribution of full cylinders and the Diophantine properties of the orbits in $\beta$-expansions
Work
Year: 2014
Type: article
Abstract: Let \beta>1 be a real number. Let T_{\beta} denote the \beta -transformation on [0,1) . A cylinder of order n is a set of real numbers in [0, 1) having the same first n digits in their \beta -expan... more
Authors Yann Bugeaud, Baowei Wang
Cites: 18
Cited by: 63
Related to: 10
FWCI: 5.653
Citation percentile (by year/subfield): 99.98
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze