Rchr
J-GLOBAL ID：201201040525976756
Update date: Aug. 25, 2024
AKIYAMA Shigeki
アキヤマ シゲキ | AKIYAMA Shigeki
Affiliation and department：
Job title：
Professor
Research field (4)：
Geometry
, Applied mathematics and statistics
, Basic mathematics
, Algebra
Research theme for competitive and other funds (41)：
- 2021 - 2024 Study of Analysis and Geometry of complex spaces
- 2020 - 2024 Application of substitutive dynamical system to number theory
- 2017 - 2021 Self-inducing structure of arithmetic algorithms
- 2017 - 2020 Relation between structure of spaces and analysis
- 2014 - 2017 Relation between algebra, geometry and analysis on fractals
- 2012 - 2016 Pisot conjecture on substitutive dynamical systems
- 2011 - 2016 The construction of approximate grids for quasicrystals using control points
- 2010 - 2014 Analytic, Algebraic and Combinatorial studies on continued fractions
- 2009 - 2011 Spectral problem on quasi-periodic structure
- 2008 - 2010 Classification of quasi-periodic structure with local configurations of Archimedes tiling
- 2008 - 2010 自己相似タイルと数系タイルの位相的構造とピゾ予想
- 2007 - 2009 鉱物集合ナノ・ミクロ組織にみられるフラクタル・自己組織化とそのバイオ由来への興味
- 2006 - 2009 Mathematics of quasi-periodic tilings and their applications
- 2007 - 2008 Research of number theoretic properties of quantum invariants of knots and 3-manifolds and its application
- 2006 - 2008 Number theoretical tiling and aperiodic discrete structure
- 2006 - 2007 Analysis for pre-fractal structures in guasiperiodic filings
- 2005 - 2007 Beneath on analytic properties ofvarious zeta-functions
- 2005 - 2006 Research of relation among quantum invariant and number theoretic invariants and modular forms
- 2005 - Aperiodic Order
- 2003 - 2004 Research on space curve and its Galois line
- 2002 - 2004 Research on the special values of various zeta functions
- 2002 - 2004 Symbolic Dynamical System and Number Theoretical Tilings
- 2001 - 2002 Research on the structures of hypersurfaces and their function fields
- 2001 - 2002 ロジーフラクタルとフラクタル幾何学
- 2000 - 2002 Studies on the analytic behaviour of number theoretic L-functions
- 2000 - 2001 Topological structure of fractal tilings attached to number system
- 1999 - 2000 Sum formulas for arithmetical functions and mean value theorem for the zeta functions
- 1998 - 1999 Degree of irrationalities of algebraic surfaces with Kodaira dimension zero
- 1997 - 1999 Behavior of Zeta and L-functions and their arithmetic meaning
- 1997 - 1998 保型L関数の近似関数等式
- 1997 - 1998 Estimate of the sum of arithmetical functions and its applications to L functions
- 1998 - Number Theory and Self-inducing structure
- 1996 - 1996 elliptic logarithmの漸近的挙動の研究
- 1996 - 1996 ヤコビベクトル場による大域幾何学の研究
- 1996 - 1996 代数体の中心拡大 modulo m の研究
- 1995 - 1995 代数曲面の非有理次数の研究
- 1994 - 1994 微分可能多様体上の幾何学的諸構造に関する研究
- 1994 - 1994 代数群の表現論
- 1993 - 1994 Atkinのp進保形式に関する予想とMoonshine
- 1992 - 1992 外場下にあるBloch電子の複素解析とブリルアンゾーン上のBerry phase
- 1989 - 1989 Analytic number theory
Show all
Papers (56)：
-
Akiyama, Shigeki, Kamae, Teturo. Width Deviation of Convex Polygons. DISCRETE & COMPUTATIONAL GEOMETRY. 2023. Epub
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Akiyama, Shigeki, Hichri, Hachem. Periodic expansion of one by Salem numbers. ERGODIC THEORY AND DYNAMICAL SYSTEMS. 2022. Epub
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秋山, 茂樹. Asymptotic formula for balanced words. JOURNAL OF NUMBER THEORY. 2022. 236. 144-159
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茂樹, 秋山, Kaneko, Hajime. Curious congruences for cyclotomic polynomials. RESEARCH IN NUMBER THEORY. 2022. 8. 4
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Akiyama, Shigeki. Minimum polyhedron with n vertices. HIROSHIMA MATHEMATICAL JOURNAL. 2021. 51. 2. 111-137
ｍore...
Books (4)：
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サーストン万華鏡 : 人と数学の未来を見つめて
共立出版 2020 ISBN:9784320114371
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Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet Chair, Fall 2017
Springer 2020 ISBN:9783030576653
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Summer School on Uniform Distribution, Papers from the school held in Kyoto, August 23-25, 2010., RIMS Kôkyûroku Bessatsu
京都大学数理解析研究所 2014
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Numeration and Substitution 2012., RIMS Kôkyûroku Bessatsu
京都大学数理解析研究所 2014
Lectures and oral presentations (28)：
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Substitutive Dynamical System and its applications
(NCTS Summer school on Dynamical Systems 2016)
-
Minimum polyhedron of n vertices
(Algebra Seminar)
-
Aperiodicity of Tile Sets
(One day workshop at Osaka)
-
Aperiodic Hats and Turtles
(タイル張りと準周期性の周辺)
-
Aperiodicity of Turtle
(Aspects of Aperiodic Order)
ｍore...
Professional career (1)：
Committee career (1)：
Association Membership(s) (1)：
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