Concepedia

Chaotic and topological properties of β-transformations

Bing Li, Yi-Chiuan Chen

Journal of Mathematical Analysis and Applications · 2011 · 17 citations · 29 references

DOI

Concepts

References

29

Fractal Geometry: Mathematical Foundations and Applications.

K. J. Falconer · Biometrics · 1990 · 6K citations

, , +16

Representations for real numbers and their ergodic properties

A. Rényi · Acta Mathematica Academiae Scientiarum Hungaricae · 1957 · 1.2K citations

, , +10

On theβ-expansions of real numbers

William Parry · Acta Mathematica Academiae Scientiarum Hungaricae · 1960 · 846 citations

, , +7

On Devaney's Definition of Chaos

John Banks, James K. Brooks, Grant Cairns et al. · American Mathematical Monthly · 1992 · 706 citations

, , +7

Devaney's chaos or 2-scattering implies Li–Yorke's chaos

Wen Huang, Xiangdong Ye · Topology and its Applications · 2002 · 289 citations

, , +12