Rchr
J-GLOBAL ID：201201040525976756
Update date: Feb. 01, 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 (53)：
-
Akiyama, Shigeki. Periodic expansion of one by Salem numbers. Ergodic Theory and Dynamical Systems. 2022
-
秋山, 茂樹. Asymptotic formula for balanced words. JOURNAL OF NUMBER THEORY. 2022. 236. 144-159
-
茂樹, 秋山, Kaneko, Hajime. Curious congruences for cyclotomic polynomials. RESEARCH IN NUMBER THEORY. 2022. 8. 4
-
Akiyama, Shigeki. Minimum polyhedron with n vertices. HIROSHIMA MATHEMATICAL JOURNAL. 2021. 51. 2. 111-137
-
Nagai, Yasushi, 秋山, 茂樹, Lee, Jeong-Yup. On arithmetic progressions in non-periodic self-affine tilings. ERGODIC THEORY AND DYNAMICAL SYSTEMS. 2021. 42. 2957-2989
ｍore...
Books (4)：
-
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
-
Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet Chair, Fall 2017
Springer 2020 ISBN:9783030576653
-
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
-
Numeration and Substitution 2012., RIMS Kôkyûroku Bessatsu
京都大学数理解析研究所 2014
Lectures and oral presentations (22)：
-
Substitutive Dynamical System and its applications
(NCTS Summer school on Dynamical Systems 2016)
-
Coding of irrational rotation and the graph of Sh.Yasutomi
(Mathematics of quasiperiodic order and related topics)
-
Multiplicative Lagrange Spectrum and symbolic dynamics
(Number Theory Conference 2022)
-
Markoff-Lagrange spectrum and symbolic dynamics
(2021年度 冬の力学系研究集会 2022)
-
Coding of irrational rotation and the graph of Sh.Yasutomi
(Mathematics of quasiperiodic order and related topics 2021)
ｍore...
Professional career (1)：
Committee career (1)：
Association Membership(s) (1)：
Return to Previous Page
