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秋山茂樹

ALUMNI 2026年9月現在、筑波大学が主たる所属機関ではありません

Akiyama, Shigeki

筑波大学 , 数理物質系 , 教授
University of Tsukuba , Institute of Pure and Applied Sciences , Professor

http://math.tsukuba.ac.jp/~akiyama/index_j.html

オープンアクセス版の論文は「つくばリポジトリ」で読むことができます。

1. Delone sets associated with badly approximable triangles Akiyama, Shigeki; Korfanty, Emily R.; Xu, Yan-li
JOURNAL OF NUMBER THEORY 278: 285 (2026) Semantic Scholar
2. An Alternative Proof for an Aperiodic Monotile Akiyama, Shigeki; Araki, Yoshiaki
DISCRETE & COMPUTATIONAL GEOMETRY Epub: (2025) Semantic Scholar
3. Intersecting the Twin Dragon with rational lines 秋山, 茂樹; Grosskopf, Paul; Loridant, Benoî; Steiner, Wolfgang
Journal of Fractal Geometry 11: 205 (2024) Semantic Scholar
4. Self-descriptive Sequences directed by two Periodic Sequences AKIYAMA, Shigeki; Jamet, Damien; Marcovici, Irène; Mai-Linh Trân-Công
Proceedings GASCom (2024)
5. Width Deviation of Convex Polygons Akiyama, Shigeki; Kamae, Teturo
DISCRETE & COMPUTATIONAL GEOMETRY Epub: (2023) Semantic Scholar
6. Periodic expansion of one by Salem numbers Akiyama, Shigeki; Hichri, Hachem
ERGODIC THEORY AND DYNAMICAL SYSTEMS Epub: (2022) Semantic Scholar
7. Asymptotic formula for balanced words 秋山, 茂樹
JOURNAL OF NUMBER THEORY 236: 144 (2022) Semantic Scholar
8. Curious congruences for cyclotomic polynomials 茂樹, 秋山; Kaneko, Hajime
RESEARCH IN NUMBER THEORY 8: (2022) Semantic Scholar
9. Minimum polyhedron with n vertices Akiyama, Shigeki
HIROSHIMA MATHEMATICAL JOURNAL 51: 111 (2021) Semantic Scholar
10. On arithmetic progressions in non-periodic self-affine tilings Nagai, Yasushi; 秋山, 茂樹; Lee, Jeong-Yup
ERGODIC THEORY AND DYNAMICAL SYSTEMS 42: 2957 (2021) Semantic Scholar
11. Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers Kaneko, Hajime; 茂樹, 秋山
Advances in Mathematics 380: 107547 (2021) Semantic Scholar
12. Generic point equivalence and Pisot numbers Shigeki Akiyama; Hajime Kaneko; Dong Han Kim
ERGODIC THEORY AND DYNAMICAL SYSTEMS 40: 3169 (2020) Semantic Scholar
13. On the Hausdorff Dimension of Bernoulli Convolutions Shigeki Akiyama; De-Jun Feng; Tom Kempton; Tomas Persson
INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2020: 6569 (2020) Semantic Scholar
14. Pure discrete spectrum and regular model sets in d-dimensional unimodular substitution tilings Dong-il Lee; Shigeki Akiyama; Jeong-Yup Lee
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 76: 600 (2020) Semantic Scholar
15. Spiral Delone sets and three distance theorem Shigeki Akiyama
NONLINEARITY 33: 2533 (2020) Semantic Scholar
16. Yet Another Characterization of the Pisot Substitution Conjecture Akiyama, Shigeki; Mercat, Paul
Lecture Note in Mathematics 2273: 397 (2020) Semantic Scholar
17. Topology of planar self-affine tiles with collinear digit set Akiyama, Shigeki; Loridant, Benoi; Thuswaldner, Joerg
Journal of Fractal Geometry 8: 53 (2020) Semantic Scholar
18. Corona Limits of Tilings: Periodic Case Shigeki Akiyama; Jonathan Caalim; Katsunobu Imai; Hajime Kaneko
DISCRETE & COMPUTATIONAL GEOMETRY 61: 626 (2019) Semantic Scholar
19. Higher order oscillation and uniform distribution Akiyama, Shigeki; Jiang, Yungping
Uniform Distribution Theory (2019)
20. Cut-and-Project Schemes for Pisot Family Substitution Tilings Jeong-Yup Lee; Shigeki Akiyama; Yasushi Nagai
SYMMETRY-BASEL 10: (2018) Semantic Scholar

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1. サーストン万華鏡 : 人と数学の未来を見つめて小島, 定吉; 藤原, 耕二; 相馬, 輝彦; 阿原, 一志; 秋山, 茂樹; 春日, 真人; 広中, えり子; 山田, 澄生
共立出版 2020年9月 (ISBN: 9784320114371)
2. Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet Chair, Fall 2017 秋山, 茂樹; Arnoux, Pierre
Springer 2020年 (ISBN: 9783030576653)
3. Summer School on Uniform Distribution, Papers from the school held in Kyoto, August 23–25, 2010., RIMS Kôkyûroku Bessatsu 秋山,茂樹; Valerie,Berthe; Hui,Rao; Takao,Komatsu (担当:編者(編著者), 範囲:Numeration and Substitution 2012., RIMS Kôkyûroku Bessatsu)
Research Institute for Mathematical Sciences 2014年6月
4. Numeration and Substitution 2012., RIMS Kôkyûroku Bessatsu 秋山,茂樹; Valerie,Berthe; Hui,Rao; Takao,Komatsu (担当:編者(編著者))
Research Institute for Mathematical Sciences 2014年6月

21. Smith Turtle and Sturmian Sequence II 秋山, 茂樹
タイル張りと準周期性の周辺
22. Badly Approximable numbers and Delone sets AKIYAMA, Shigeki
Workshop「数論とエルゴード理論」招待有り
23. Minimum polyhedron of n vertices AKIYAMA, Shigeki
Algebra Seminar Tom Görtzen 招待有り
24. Markoff-Lagrange spectrum and symbolic dynamics (Mini Course) AKIYAMA, Shigeki
2023 NCTS Workshop on Dynamical Systems National Center of Theoretical Science 招待有り
25. Markoff-Lagrange Spectrum and Symbolic Dynamics AKIYAMA, Shigeki
Trends in Metric Number Theory Mumtaz Hussain 招待有り
26. Aperiodicity of Turtle AKIYAMA, Shigeki
Aspects of Aperiodic Order Michael Baake 招待有り
27. Aperiodicity of Tile Sets 秋山, 茂樹
One day workshop at Osaka 招待有り
28. Aperiodic Hats and Turtles 秋山, 茂樹
タイル張りと準周期性の周辺
29. Multiplicative Lagrange Spectrum and symbolic dynamics Akiyama, Shigeki
Number Theory Conference 2022 招待有り
30. Coding of irrational rotation and the graph of Sh.Yasutomi 秋山, 茂樹
Mathematics of quasiperiodic order and related topics