Akiyama Shigeki
- Affiliation
- Faculty of Pure and Applied Sciences
- Official title
- Professor
- URL
- Research fields
Algebra Foundations of mathematics/Applied mathematics Geometry Foundations of mathematics/Applied mathematics - Research keywords
Number Theory, Ergodic Theory, Self-similarity, Pisot number, Substitution, Tiling, Quasicrystal, Uniform distribution, Fractal - Research projects
置換規則力学系の数論への応用 2020 -- 2023 秋山 茂樹 Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C) 4,160,000Yen 数論的アルゴリズムの自己誘導構造 2017 -- 2019 秋山 茂樹 Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C) 4,290,000Yen Number Theory and Self-inducing structure 1998-01 -- (current) /(選択しない) Aperiodic Order 2005-04 -- (current) / Analytic number theory 1989-04 -- 1989-04 / Substitutive dynamics and Pisot substitution conjecture 2012 -- 2016 Japan Society of for the Promotion of Science/基盤研究(C) 1,430,000Yen - Degree
1989-3-31 学術博士 神戸大学 - Academic societies
1989-03 -- (current) 日本数学会 -- (current) 日本数学会 - Articles
- Asymptotic formula for balanced words
秋山 茂樹
JOURNAL OF NUMBER THEORY/236/pp.144-159, 2022-07 - On arithmetic progressions in non-periodic self-affine tilings
Nagai Yasushi; 秋山 茂樹; Lee Jeong-Yup
ERGODIC THEORY AND DYNAMICAL SYSTEMS/42/pp.2957-2989, 2021-06 - Minimum polyhedron with n vertices
Akiyama Shigeki
HIROSHIMA MATHEMATICAL JOURNAL/51(2)/pp.111-137, 2021-07 - Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers
Kaneko Hajime; 茂樹 秋山
Advances in Mathematics/380, 2021-03 - Topology of planar self-affine tiles with collinear digit set
Akiyama Shigeki; Loridant Benoit; Thuswaldner Joerg
Journal of Fractal Geometry/8(1)/pp.53-93, 2020 - Yet Another Characterization of the Pisot Substitution Conjecture
Akiyama Shigeki; Mercat Paul
Lecture Note in Mathematics/2273/pp.397-448, 2020 - Pure discrete spectrum and regular model sets in d-dimensional unimodular substitution tilings
Lee Dong Il; Akiyama Shigeki; Lee Jeong Yup
Acta crystallographica. Section A, Foundations and advances/76(Pt 5)/pp.600-610, 2020-09 - Generic point equivalence and Pisot numbers
Kaneko Hajime; 茂樹 秋山; KIM DONG HAN
Ergodic Theory and Dynamical Systems/40(12)/pp.3169-3180, 2019-07 - Higher order oscillation and uniform distribution
Akiyama Shigeki; Jiang Yungping
Uniform Distribution Theory, 2019-04 - Generic point equivalence and Pisot numbers
Akiyama Shigeki; Kaneko Hajime; Kim Dong Han
Ergodic Theory & Dynamical Systems, 2019-07 - Spiral Delone sets and three distance theorem
Akiyama Shigeki
NONLINEARITY/33(5)/pp.2533-2540, 2020-05 - On the Hausdorff Dimension of Bernoulli Convolutions
Akiyama Shigeki; Feng De-Jun; Kempton Tom; Persson Tomas
International Mathematics Research Notices/2020(19)/pp.6569-6595, 2018-09 - Corona Limits of Tilings: Periodic Case
Akiyama Shigeki; Caalim Jonathan; Imai Katsunobu; Kaneko ...
DISCRETE & COMPUTATIONAL GEOMETRY/61(3)/pp.626-652, 2019-04 - Cut-and-Project Schemes for Pisot Family Substitution Tilings
Lee Jeong-Yup; Akiyama Shigeki; Nagai Yasushi
SYMMETRY-BASEL/10(10), 2018-10 - Strongly nonperiodic hyperbolic tilings using single vertex configuration
Ahara Kazushi; Akiyama Shigeki; Hayashi Hiroko; Komats...
HIROSHIMA MATHEMATICAL JOURNAL/48(2)/pp.133-140, 2018-07 - On subtrees of the representation tree in rational base numeration systems
Akiyama Shigeki; Marsault Victor; Sakarovitch Jacques
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE/20(1), 2018 - On a Binet-type formula for nearly linear recurrence sequences and its applications
Akiyama Shigeki; Attila Pethoe; Jan-Hendrick Evertse
Number Theory – Diophantine Problems, Uniform Distribution and Applications/pp.1-24, 2017 - Boundary parametrization and the topology of tiles
Akiyama Shigeki; Loridant Benoit
Nagoya Math. J./226/pp.127-164, 2016 - Comments on the height reducing property II
Akiyama Shigeki; Thuswaldner Joerg M.; Zaimi Toufik
INDAGATIONES MATHEMATICAE-NEW SERIES/26(1)/pp.28-39, 2015-01 - Primitive matrices over polynomial semirings
Shigeki Akiyama; Horst Brunotte
Linear Algebra and its Applications/436(9)/p.3568-3596, 2012 - Height reducing problem on algebraic integers
Shigeki Akiyama; Paulius Drungilas; Jonas Jankauskas
Functiones et Approximatio/47(1)/p.105-119, 2012 - Browder’s convergence for one-parameter nonexpansive semigroups
Shigeki Akiyama; Tomonari Suzuki
Canadian Mathematical Bulletin/55(1)/p.15-25, 2012 - A note on aperiodic Ammann tiles
Shigeki Akiyama
Discrete & Computational Geometry/48/p.702-710, 2012 - Discrete spectra and Pisot numbers
Akiyama Shigeki; Komornik Vilmos
JOURNAL OF NUMBER THEORY/133(2)/pp.375-390, 2013-02 - Discretized rotation has infinitely many periodic orbits
Akiyama Shigeki; Petho Attila
NONLINEARITY/26(3)/pp.871-880, 2013-03
- Asymptotic formula for balanced words
- Books
- The Corona Limit of Penrose Tilings Is a Regular Decagon
Akiyama Shigeki; Imai Katsunobu
CELLULAR AUTOMATA AND DISCRETE COMPLEX SYSTEMS, AUTOMATA 2016/SPRINGER INT PUBLISHING AG/pp.35-48, 2016 - On the Pisot Substitution Conjecture
Akiyama S.; Barge M.; Berthe V.; Lee J. -Y.; Siegel A.
MATHEMATICS OF APERIODIC ORDER/BIRKHAUSER VERLAG AG/pp.33-72, 2015 - Numeration and Substitution 2012., RIMS Kôkyûroku Bessatsu
秋山 茂樹; Valerie Berthe; Hui Rao; Takao Komatsu
京都大学数理解析研究所, 2014-06 - Summer School on Uniform Distribution, Papers from the school held in Kyoto, August 23–25, 2010., RIMS Kôkyûroku Bessatsu
秋山 茂樹
京都大学数理解析研究所, 2012
- The Corona Limit of Penrose Tilings Is a Regular Decagon
- Conference, etc.
- Markoff-Lagrange spectrum and symbolic dynamics
秋山 茂樹
2021年度 冬の力学系研究集会/2022/1/7--2022/1/10 - Coding of irrational rotation and the graph of Sh.Yasutomi
Akiyama Shigeki
Mathematics of quasiperiodic order and related topics/2021/11/8--2021/11/10 - Arithmetic progressions in self-similar tilings
Akiyama Shigeki
Mathematics of quasiperiodic systems and related topics/2020-11-9--2020-11-11 - A geometric characterization of pure discrete symbolic dynamics
秋山 茂樹
Number Theory and Ergodic Theory/2020-02-10 - Introduction to Numeration Systems
Akiyama Shigeki
CIMPA School:Numeration and Fractals/2020-01-10--2020-01-16 - Repetition of patterns in self-similar tiling space
秋山 茂樹
葉層構造の幾何学とその応用/2019-12-15 - Spiral Delone sets and related Diophantine problems
Akiyama Shigeki
準周期タイリングとその周辺/2019-10-09 - Spiral Delone set
Akiyama Shigeki
Equidistribution: Arithmetic, Computational and Probabilistic Aspects/2019-05-02 - A criterion for almost periodicity of sequences
Akiyama Shigeki
Number Theory and Dynamics/2019-07-17 - On nearly recursive sequences
Akiyama Shigeki
Number Theory and Applications/2017-10-14--2017-10-18 - On Corona Limits
秋山 茂樹
Spectral Structures and Topological Methods in Mathematical Quasicrystals/2017-10-2--2017-10-9 - Beta expansion and its extension
秋山 茂樹
Workshop on substitutions and tiling spaces (Vienna)/2017-9-25--2017-9-29 - Nearly recursive sequences
秋山 茂樹
Number Theory and Dynamics/2017-6-19--2017-6-23 - Around discretized rotation
秋山 茂樹
Numeration 2017 (Rome)/2017-6-5--2017-6-9 - Beta-expansions and Self-affine Tilings
Akiyama Shigeki
Modern Trends in Mathematical Crystallography (Manila)/2017-5-20--2017-5-24 - Almost periodicity and coincidence of tiling dynamics
Akiyama Shigeki
学習院大学スペクトル理論セミナー/2016-11-05--2016-11-05 - Corona limits of tilings: Periodic case
Akiyama Shigeki
Mathematical Physics of Quasi-Periodic Systems and Related Topics/2016-11-07--2016-11-09 - 回転ベータ展開の不変測度とタルスキの問題
Akiyama Shigeki
解析的整数論の諸問題と展望/2016-10-31--2016-11-02 - 擬線形回帰数列の漸近挙動
Akiyama Shigeki
大分整数論研究集会/2016-10-08--2016-10-09 - Substitutive Dynamical System and its applications
Akiyama Shigeki
NCTS Summer school on Dynamical Systems/2016-09-11--2106-09-23 - The Corona Limit of Penrose Tilings Is a Regular Decagon
Akiyama Shigeki; Imai Katsunobu
22nd IFIP WG 1 5 International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA)/2016-06-15--2016-06-17
- Markoff-Lagrange spectrum and symbolic dynamics
- Teaching
2022-10 -- 2023-02 Research in Algebra IVB University of Tsukuba. 2022-10 -- 2023-02 Research in Algebra VA University of Tsukuba. 2022-10 -- 2023-02 Research in Algebra IVA University of Tsukuba. 2022-10 -- 2023-02 Seminar on Algebra University of Tsukuba. 2022-04 -- 2022-08 Seminar on Algebra University of Tsukuba. 2022-04 -- 2022-08 Seminar on Mathematics University of Tsukuba. 2022-10 -- 2023-02 Seminar on Mathematics University of Tsukuba. 2022-10 -- 2023-02 Research in Algebra IIA University of Tsukuba. 2022-04 -- 2022-08 Research in Algebra IIIB University of Tsukuba. 2022-04 -- 2022-08 Research in Algebra IB University of Tsukuba. more... - Other educational activities
2016-11 -- (current) 高田高校 高高SS講座 高田高校 2016-09 -- 2016-09 集中講義「数学特別講義A5」 熊本大学 2016-08 -- 2016-09 集中講義「数学特別講義III」 大阪教育大 2015-11 -- 2015-11 集中講義「ベータ変換と不変測度」 高知大学 2015-11 -- 2015-11 高高(スーパーサイエンス)講座「切ったり張ったり」 高田高校 2016-01 -- 2016-01 津山高専数学談話会「ピゾ数とその応用」 津山高専 2014-11 -- 2014-11 上越教育大談話会「離散回転の軌道」 上越教育大 2014-11 -- 2014-11 中高生のための高高スーパーサイエンス講座「実験から法則へ」 高田高校 2014-07 -- 2014-07 集中講義「数論的力学系の自然拡大」 新潟大学 2013-08 -- 2013-08 大学説明会模擬授業「不思議なサイコロ」 筑波大学 more... - Professional activities
-- (current) 日本数学会 代数学分科会運営委員 - University Management
2019-04 -- 2020-03 数理物質系系長補佐 2020-04 -- 2021-03 理工学群副学群長 2017-04 -- 2018-03 数学類長 2019-04 -- 2020-03 数学域長・専攻長 - Other activities
-- (current) See also http://math.tsukuba.ac.jp/~akiyama/index.html
(Last updated: 2022-06-10)