The waiting spectra of the sets described by the quantitative waiting time indicators

The waiting spectra of the sets consisting of pairs of sequences with prescribed quantitative waiting time indicators are determined. More precisely,let R（x,y） and R（x,y） be the lower and upper quantitative waiting time indicators of y by x respectively in the symbolic space Σm（integer m 2） and defi...

Full description

Saved in:
Bibliographic Details
Published in:Science China. Mathematics 2014-11, Vol.57 (11), p.2335-2346
Main Authors: Chen, HaiBo, Tang, JunMin
Format: Article
Language:English
Subjects:
Applications of Mathematics
China
Indicators
Infinity
Integers
Mathematical analysis
Mathematics
Mathematics and Statistics
Sequences
Spectra
Texts
整数
水平集
符号空间
等待时间
豪斯多夫
量化
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The waiting spectra of the sets consisting of pairs of sequences with prescribed quantitative waiting time indicators are determined. More precisely,let R（x,y） and R（x,y） be the lower and upper quantitative waiting time indicators of y by x respectively in the symbolic space Σm（integer m 2） and define the level sets Sα,β={（x,y）∈Σ2m：R（x,y）=α,R（x,y）=β},where 0αβ∞,it is shown that the sets Sα,βare all of Hausdorff dimension 2.Besides,some further extensions of this result are also made.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-014-4854-7