scholarly journals Univoque bases of real numbers: Local dimension, Devil's staircase and isolated points

2020 ◽  
Vol 121 ◽  
pp. 102103
Author(s):  
Derong Kong ◽  
Wenxia Li ◽  
Fan Lü ◽  
Zhiqiang Wang ◽  
Jiayi Xu
Keyword(s):  
Local Dimension ◽  
Real Numbers ◽  
Devil's Staircase ◽  
Devil’S Staircase ◽  
Isolated Points

scholarly journals A devil's staircase from rotations and irrationality measures for Liouville numbers

2008 ◽  
Vol 145 (3) ◽  
pp. 739-756 ◽  
Author(s):  
DOYONG KWON
Keyword(s):  
Rational Points ◽  
Real Numbers ◽  
Devil's Staircase ◽  
Algebraic Integers ◽  
Liouville Numbers ◽  
Transcendental Numbers ◽  
Devil’S Staircase ◽  
Increasing Function

AbstractFrom Sturmian and Christoffel words we derive a strictly increasing function Δ:[0,∞) → . This function is continuous at every irrational point, while at rational points, left-continuous but not right-continuous. Moreover, it assumes algebraic integers at rationals, and transcendental numbers at irrationals. We also see that the differentiation of Δ distinguishes some irrationality measures of real numbers.

NMR spectra and relaxation in incommensurate systems in the presence of a devil's staircase

1985 ◽  
Vol 46 (7) ◽  
pp. 1205-1209 ◽  
Author(s):  
R. Blinc ◽  
S. Žumer ◽  
D.C. Ailion ◽  
J. Nicponski
Keyword(s):  
Nmr Spectra ◽  
Devil's Staircase ◽  
Devil’S Staircase

Phenomenology of a Devil's Staircase

1992 ◽  
Vol 3 (2) ◽  
pp. 231-250
Author(s):  
D. G. Sannikov
Keyword(s):  
Devil's Staircase ◽  
Devil’S Staircase

Devil's-staircase behavior of a simple spin model

1981 ◽  
Vol 24 (5) ◽  
pp. 2744-2750 ◽  
Author(s):  
E. B. Rasmussen ◽  
S. J. Knak Jensen
Keyword(s):  
Spin Model ◽  
Devil's Staircase ◽  
Devil’S Staircase

A multiple devil's staircase in a discontinuous map

1997 ◽  
Vol 231 (3-4) ◽  
pp. 152-158 ◽  
Author(s):  
Shi-Xian Qu ◽  
Shunguang Wu ◽  
Da-Ren He
Keyword(s):  
Devil's Staircase ◽  
Devil’S Staircase ◽  
Discontinuous Map

scholarly journals Devil's staircase for nonconvex interactions

2000 ◽  
Vol 50 (3) ◽  
pp. 307-311 ◽  
Author(s):  
J Jędrzejewski ◽  
J Miękisz
Keyword(s):  
Devil's Staircase ◽  
Devil’S Staircase ◽  
Nonconvex Interactions

Double devil’s staircase in circle maps

1992 ◽  
Vol 46 (2) ◽  
pp. 737-742 ◽  
Author(s):  
Amin Jazaeri ◽  
Indubala I. Satija
Keyword(s):  
Devil's Staircase ◽  
Circle Maps ◽  
Devil’S Staircase
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