Mod 2 normal numbers and skew products

Choe, Geon Ho; Hamachi, Toshihiro; Nakada, H.

doi:10.4064/sm165-1-4

Studia Math.

2004

DOI: 10.4064/sm165-1-4

|View full text |Cite

Mod 2 normal numbers and skew products

Geon Ho Choe

Toshihiro Hamachi

H. Nakada

Abstract: , where {t} is the fractional part of t.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2008

2013

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A class of compact group extensions of β-transformations

Ahn

2011

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

Skew product Compact group extension Central Limit TheoremWe investigate the dynamical properties of a skew product transformation T ϕ on [0, 1) × G defined by T ϕ (x, g) = (T x, g · ϕ(x)) where T is the β-transformation for β 2 and ϕ(x) is a compact group G-valued step function with a finite number of discontinuities. We give several sufficient conditions for ergodicity and strong mixing of T ϕ . As an application, we describe a class of step functions which satisfy the Central Limit Theorem for the β-transformations. As another application, we also consider a class of skew product transformations T β,a,w on [0, 1) × [0, 1) which maps (x, y) → (βx, y + ax + w) (mod 1) where a, w ∈ R and give necessary and sufficient conditions for ergodicity and strong mixing.

show abstract

A class of compact group extensions of β-transformations

Ahn

2011

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

show abstract

The Parities of Continued Fraction

Ahn¹

2008

Honam Mathematical Journal

View full text Add to dashboard Cite

Normal Numbers Mod 2 on the Logistic Map

Ahn¹

2013

Honam Mathematical Journal

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Mod 2 normal numbers and skew products

Abstract: , where {t} is the fractional part of t.

Cited by 3 publications

References 15 publications

A class of compact group extensions of β-transformations

A class of compact group extensions of β-transformations

The Parities of Continued Fraction

Normal Numbers Mod 2 on the Logistic Map

Contact Info

Product

Resources

About