Shigeki Akiyama

About Shigeki Akiyama

Shigeki Akiyama, With an exceptional h-index of 30 and a recent h-index of 12 (since 2020), a distinguished researcher at University of Tsukuba, specializes in the field of number theory and ergodic theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Intersection the twin dragon with rational lines

Non-intersective Dragon Curves

Width deviation of convex polygons

Periodic expansion of one by Salem numbers

An alternative proof for an aperiodic monotile

Curious congruences for cyclotomic polynomials

On arithmetic progressions in non-periodic self-affine tilings

Asymptotic formula for balanced words

Shigeki Akiyama Information

University

Position

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Citations(all)

2966

Citations(since 2020)

613

Cited By

2564

hIndex(all)

30

hIndex(since 2020)

12

i10Index(all)

66

i10Index(since 2020)

18

Email

University Profile Page

Google Scholar

Shigeki Akiyama Skills & Research Interests

number theory and ergodic theory

Top articles of Shigeki Akiyama

Intersection the twin dragon with rational lines

arXiv preprint arXiv:2402.18371

2024/2/28

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Non-intersective Dragon Curves

arXiv preprint arXiv:2401.07002

2024/1/13

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Width deviation of convex polygons

Discrete & Computational Geometry

2023/9/13

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Periodic expansion of one by Salem numbers

Ergodic theory and dynamical systems

2023/9

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

An alternative proof for an aperiodic monotile

arXiv preprint arXiv:2307.12322

2023/7/23

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Curious congruences for cyclotomic polynomials

Research in Number Theory

2022/12

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

On arithmetic progressions in non-periodic self-affine tilings

Ergodic Theory and Dynamical Systems

2022/9

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Asymptotic formula for balanced words

Journal of Number Theory

2022/7/1

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Exponential Diophantine approximation and symbolic dynamics

arXiv preprint arXiv:2204.10510

2022/4/22

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Corrigendum to “Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers”[Adv. Math. 380 (2021) 107547]

Advances in Mathematics

2022/1/22

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Minimum polyhedron with vertices

Hiroshima Mathematical Journal

2021/7

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Delone sets on spirals

2019-20 MATRIX Annals

2021

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Topology of planar self-affine tiles with collinear digit set

J. Fractal Geom

2021/1/1

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Yet another characterization of the Pisot substitution conjecture

2020/12/6

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Generic point equivalence and Pisot numbers

Ergodic Theory and Dynamical Systems

2020/12

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Dong Han Kim
Dong Han Kim

H-Index: 8

On the Hausdorff dimension of Bernoulli convolutions

International Mathematics Research Notices

2020/10

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Tom Kempton
Tom Kempton

H-Index: 9

Pure discrete spectrum and regular model sets in d-dimensional unimodular substitution tilings

Acta Crystallographica Section A: Foundations and Advances

2020/9/1

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

Lecture Notes in Mathematics Preface

2008

Substitution and tiling dynamics: introduction to self-inducing structures

Lecture Notes in Mathematics

2020

Shigeki Akiyama
Shigeki Akiyama

H-Index: 13

See List of Professors in Shigeki Akiyama University(University of Tsukuba)

Co-Authors

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