Research Output per year

## Fingerprint Dive into the research topics where Kae Inoue is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Diophantine Approximation
Mathematics

Circle Map
Mathematics

Metric
Mathematics

Simultaneous Approximation
Mathematics

Formal Power Series
Mathematics

Positive Characteristic
Mathematics

Jacobi
Mathematics

Proof by induction
Mathematics

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Network
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## Research Output 2003 2018

## A Piecewise rotation of the circle, IPR maps and their connection with translation surfaces

Inoue, K. & Nakada, H., 2018 Jan 1,*Lecture Notes in Mathematics.*Springer Verlag, p. 393-431 39 p. (Lecture Notes in Mathematics; vol. 2213).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Circle Map

Singularity

Iterate

Circle

Integer

## On the existence of a darling-kac set for the renormalized rauzy map

Inoue, K. & Nakada, H., 2017 Jan 1, In : Tokyo Journal of Mathematics. 34, 2, p. 289-302 14 p.Research output: Contribution to journal › Article

Ergodicity

Imply

1
Citation
(Scopus)

## On the dual of Rauzy induction

Inoue, K. & NAKADA, HITOSHI., 2016 Feb 11, (Accepted/In press) In : Ergodic Theory and Dynamical Systems. p. 1-45 45 p.Research output: Contribution to journal › Article

Proof by induction

Circle

Gauss Map

Interval

Natural Extension

## On metric Diophantine approximation in positive characteristic

Inoue, K. & Nakada, H., 2003, In : Acta Arithmetica. 110, 3, p. 205-218 14 p.Research output: Contribution to journal › Article

Diophantine Approximation

Positive Characteristic

Metric

6
Citations
(Scopus)

## The metric simultaneous diophantine approximations over formal power series

Inoue, K., 2003, In : Journal de Theorie des Nombres de Bordeaux. 15, 1, p. 151-161 11 p.Research output: Contribution to journal › Article

Diophantine Approximation

Simultaneous Approximation

Formal Power Series

Metric

Theorem