TAKAYAMA NOBUKI 高山信毅

… Alternative Names

Takayama Nobuki 高山信毅

TAKAYAMA Nobuki 高山信毅

高山信穀タカヤマノブユキ

高山信毅タカヤマノブキ

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Researcher Number	30188099
Other IDs
External Links
Affiliation (Current)	2025: 神戸大学, 理学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 神戸大学, 理学研究科, 教授 2015 – 2019: 神戸大学, 理学研究科, 教授 2013 – 2016: 神戸大学, 理学(系)研究科(研究院), 教授 2007 – 2010: Kobe University, Graduate School of Science, Professor 2009: 神戸大, 理学(系)研究科(研究院), 教授 … More 2009: 神戸大学, 理学部, 教授 1996 – 2006: Kobe University Faculty of Sciences Professor, 理学部, 教授 1994 – 1996: 神戸大学, 理学部, 助教授 1992: 神戸大学, 理学部, 助教授 1989 – 1991: 神戸大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12010:Basic analysis-related / Basic analysis / Foundations of mathematics/Applied mathematics / General mathematics (including Probability theory/Statistical mathematics) / 解析学 Except Principal Investigator Algebra / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry … More / Basic analysis / 代数学・幾何学 / Basic Section 11010:Algebra-related / General mathematics (including Probability theory/Statistical mathematics) / Statistical science / Algebra / Global analysis Less
Keywords	Principal Investigator 数値計算 / A-超幾何関数 / 多変数超幾何関数 / 超幾何関数 / D-加群 / グレブナ基底 / D-modules / ホロノミック勾配法 / 特殊関数 / 数学ソフトウエア … More / computer algebra / Grobner basis / 統計分布 / 数値解法 / Feynman積分 / 分布 / honomic勾配降下法 / 解析学 / non-central Wishart / ２元分割表 / ランダム行列 / オイラー標数法 / ねじれコホモロジー / 分割表 / A超幾何関数 / Wishart行列 / 二元分割表 / random numbers and integration / Special function / Mathematical formula / Computational D-modules / A-hypergeometric equation / A-hypergeometric function / 超幾何関数の積分表示 / calA-超幾何方程式 / calA-超幾何関数 / 代数方程式系 / 数学公式 / 計算代数解析 / A-超幾何方程式 / Kummer type identities / numerical analysis / mathematical software / irregular singularities / A-hypergeometric functions / A-hypergeometric system / 自由分解 / Kummer型関係式 / 計算代数 / 不確定特異点 / A-超幾何系 / Runge-Kutta 法 / 超幾何多項式 / modular method / 常微分方程式 / 高精度計算 / 有限体 / 数値解析 / Borel変換 / order polytope / 合流型 A-超幾何関数 / A超幾何系 / 多変数超幾何多項式 / Borel 総和 / 数値評価 / ノンパラメトリック推測法 / 特異基数 / 無矛盾性 / 離散極小曲面 / Sparse SDP / logarithmic cohomology / Fisher-Bingham分布 / 数学ソフトエウア / ホロノミック勾配降下法 / 極小曲面 / 中心極限定理 / 重複対数の法則 / 組み合わせ論的集合論 / 推定 / monodromy group / period map / locally constant sheaf / intersection number / twisted conomology / hypergeometric function / Integer programming / Kan / hypergeometric series / Hecke algebra / Coxeter group / q-analysis / 確定特異点 / 特性サイクル … More Except Principal Investigator 超幾何微分方程式 / グレブナー基底 / random numbers / uniformly distributed sequence / Central limit theorem / 中心極限定理 / Asymptotic expansion / hypergeometric system / 数式処理 / 球関数 / ヘッケ環 / 保型形式 / 初期値空間 / 超幾何関数 / パンルヴェ方程式 / Grobner basis / 粘性解 / CGB / Groebner Basis / 計算代数 / 数学ソフトウェア / non-conventional average / Riesz-Raikov和 / 重複対数の法則 / 概不変原理 / 多項式エルゴード定理 / 間隙三角級数 / モジュライ空間 / GKZ hypergeometric system / Monomial ideal / Grobner deformations / numerical integration / Hausdorff dimension / M sequence / quasi Monte Carlo method / Monte Carlo method / ミラー対称性 / カラビ・ヤウ多様体 / integrable system / contact geometry / affine differential geometry / projective differential geometry / 可積分系 / configuration space / spherical function / 配置空間 / projective invariant / パンルベ方程式 / 射影不変量 / D加群 / アルゴリズム / 計算代数統計 / 計算代数解析 / 射影微分幾何学 / グレプナ基底 / ハミルトン構造 / パーコレーション / 相関関数 / ガルニエ系 / 射影部分多様体 / 数え上げ幾何学 / 分配関数 / AGT対応 / 量子モノドロミー保存変形 / アフィンワイル群 / 離散系 / モノドロミー保全変形 / ゲージ理論 / 特殊関数 / 量子化 / モノドロミー保存変形 / 量子曲線 / modular computation / polynomial system / Hvnereeometric equation / Mathematical Software / Algebraic extension / F4 algorithm / dynamic evaluation / パラメタ / 斉次化 / F_4 / modular計算 / 代数方程式 / 超幾何方程式 / 代数拡大 / F4アルゴリズム / invariance principles / lacunary series / gap theorem / Discrepancy / Law of the iterated logarithm / 概不変定理 / Hardy-Littlewood-Fejerの数列 / 間隙級数 / Vertex operator algebra / Polynomial system solving / Ideal decomposition / polynomial factorization / Hypergeometric function / Algebraic analysis / Computer algebra / 最少多項式 / 極小素因子 / 準素分解 / 多項式イデアル / 多項式因数分解 / b関数 / VOA / グレブナーfan / グレブナー fan / 極小素因子計算 / Riesz-Rakov和 / Bakerの数列 / Cryptography / Abelian surface / Calabi-Yau variety / Chow group / Moduli space / Cartier operator / Artin-Mazur formal group / Positive characteristic / NP問題 / 量子計算機 / 公開鍵暗号 / モジュウイ空間 / 形式的ブラウワー群 / a-数 / ホッジフィルトレーション / フロベニウス写像 / ド・ラムコホモロジー群 / 符号 / ハイト / イリュージー層 / ネロン・セヴェリ群 / 暗号 / アーベル曲面 / チャウ群 / カルチエ作用素 / アルチン・メイザー形式群 / 正標数 / hypergeometric equation / affine Weyl group symmetry / Painleve equation / 離散可積分系 / ベックルント変換 / アフィンワイル群対称性 / Standard pairs / series sohition / Rogular singulasity / Volune polynonrid / Grolner basis / GKZ hypergesmetric system / Grobner diformation / Asyonptotic expansion / Haussdorf / 数値積分法 / Haussdorf次元 / M系列 / 乱数 / 一様分布数列 / 準Monte-Carlo法 / Monte-Carlo法 / symbolic computation / Groebner base / algorithm / linear partial differential equation / D-module / グレブナ基底 / 線型偏微分方程式 / D-加群 / Airy function / Divergent solution / Intersection theory / Period relation / Irregularity / Irregukar singular / Confluent hypergeometric function / 不確定特異点 / 合流超幾何方程式 / エアリー関数 / 発散解 / 交点理論 / 周期関係式 / 漸近展開 / 不確定度 / 不確定特異 / 合流超幾何関数 / Hecke algebra / automorphic form / Moduli spaces of Vector Bundles / Spaces of Initial Values / Painleve equations / Rational Elliptic Surfaces / Gromov-Witten invariants / Calabi-Yau manifolds / GKZ Hypergeometric System / Mirror Symmetry / カラビ=ヤウ多様体 / GK2型超幾何微分方程式系 / 湯川カップリング / 化積分系 / ベクトル波 / プレポテンシャル / グロモフ・ウイッテン不変量 / GKZ 超幾何系 / Mirror 対称性 / ベクトル束のモジュライ空間 / 有理楕円曲面 / グロモフ-ウイッテン不変量 / カラビ-ヤウ多様体 / GKZ超幾何系 / Mirror対称性 / line congruence / projective invariants / projective submanifold / Hesse geometry / 線叢 / アファイン幾何学 / 接触幾何学 / 超幾何系 / confluent hypergeometric function / Grassmannian / Macdonald polynomial / hypergeometric function / Grassmann多様体 / Macdonald多項式 / 合流型超幾何函数 / グラスマン多様体 / 球函数 / マクドナルド多項式 / 超幾何函数 / Unknotting operation / Geometric structure / Alexander invariant / Manifold / Knot / Model / 結び目解消操作 / 幾何構造 / Alexander不変量 / 多様体 / 結び目 / 模型 / Groebner basis / unknotting number / radial solution / Painleve system / regular graph / 球対称解 / ロ-加群 / モジュラー曲面 / アファイン極小性 / 変曲点 / 結び目解消数 / 球対称性 / パンルベ系 / 正則グラフ / 1 / 代数統計学 / 数理統計学 / 微分方程式 / 統計数学 / 統計的推測 / 凸多面体の組合せ論 / 計算の効率化 / generic initial ideal / グレブナ-基底 / トーリックイデアル / 分割表 / マルコフ基底 / イニシャルイデアル / 凸多面体 / 計算可換代数 / 平均曲率流 / 非線形方程式 / 射影曲率 / 曲面の変換 / 発展方程式 / ネットワーク / 正準方程式系 / シンプレクティック多様体 / 非線形モノドロミ-群 / 正準座標系 / パンルヴェ系 / 計算環論 / 結び目のcongruence / モノドロ〓群 / 相転移モデル / K3曲面 / リンク / 連分数 / 2次体 / 計算機言語 / モノドロミー / 合流型超幾何関数 / イジング模型 / 8一頂点模型 / イ-ジング模型 / ベルマン方程式 / 特異性伝幡 / 非線形モノドロミ- / 確率場 / 絡み目 / 2次形式 / 可換微分作用素系 / 接続系数 / モノドロミ-群 / 超幾何微分方程式系 / 微積分方程式 / 特異摂動 / 完全非線形楕円型偏微分方程式 / sperical Zーdceign / optimal control / contigu relation / holonomic system / canonical transformation / fixed singular points / Painlcae' equations / 障害物問題 / 導関数の評価 Less

量子曲線に基づく量子パンルヴェ方程式の構築と応用
- Principal Investigator
  
  山田泰彦
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kobe University
多変数超幾何関数と現代統計学Principal Investigator
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kobe University
Study of multi-variable hypergeometric differential equations for statisticsPrincipal Investigator
- Principal Investigator
  
  Takayama Nobuki
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
High precision numerical algorithms by finite fieldsPrincipal Investigator
- Principal Investigator
  
  Takayama Nobuki
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kobe University
Innovation in statistics and related mathematics through computational algebraic statistics
- Principal Investigator
  
  TAKEMURA AKIMICHI
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Statistical science
- Research Institution
  Shiga University
  The University of Tokyo
Theory and numerical evaluation of special functions of several variablesPrincipal Investigator
- Principal Investigator
  
  Takayama Nobuki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Computational Approaches for Mathematical SciencesPrincipal Investigator
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2007 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
The Study of theoretical aspects and practical aspect on Grobner Bases
- Principal Investigator
  
  HIBI Takayuki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Development of efficient algorithms and software for solving parametric systems
- Principal Investigator
  
  NORO Masayuki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Computational Analysis of Hypergeometric Differential EquationsPrincipal Investigator
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KOBE UNIVERSITY
Development of high performance computer algebra software
- Principal Investigator
  
  NORO Masayuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
Probability Theory and Random numbers : Gap Theoretical Approach
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
GKZ systems with irregular singularitiesPrincipal Investigator
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KOBE UNIVERSITY
Studies on agebraic geometry in positive characteristic, coding theory and cryptography
- Principal Investigator
  
  KATSURA Toshiyuki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Real analitic probabilistic approach to theory of random numbers
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
Comprehensive Studies on Hypergeometric and Painleve Systems
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
射影不変平均曲率流と画像処理
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Kobe University
Grobner asymptotic expansion for regular holononic systems
- Principal Investigator
  
  IKEDA Hiroshi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
数学研究支援のための自己学習型数式処理系の設計と開発
- Principal Investigator
  
  野海正俊
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Study of geometric structures on projective submanifolds in view of differential equations
- Principal Investigator
  
  SAKAI Takeshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
Research on Periods of Algebraic Varieties and Hypergeometric Functions
- Principal Investigator
  
  SAITO Masa-hiko
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Automorphic forms of several variables and spherical functions of homoge-neous spaces
- Principal Investigator
  
  YAMAZAKI Tadashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KOBE UNIVERSITY
STUDIES ON D-MODULES DERIVED FROM CONFLUENT HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
- Principal Investigator
  
  MAJIMA Hideyuki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Ochanomizu University
Study on Algorithms for D-Modules
- Principal Investigator
  
  OAKU Toshonori
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yokohama City University
Random number theory and real analytic probability
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
保型形式に付随する特殊関数の研究
- Principal Investigator
  
  山崎正
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Research on Structures of Knots and Manifolds as Models
- Principal Investigator
  
  NAKANISHI Yasutaka
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
Special Functions in Many Variables
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kobe University
q-解析にあらわれる非可換代数に関するアルゴリズムの研究Principal Investigator
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
パンルヴェ系・ガルニエ系の初期値空間
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
保型形式のL関数の解析的研究
- Principal Investigator
  
  YAMAZAKI Tadashi
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
ツイスト(コ)ホモロジー交点理論と超幾何関数の研究Principal Investigator
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Kobe University
D加群に関するアルゴリズムの研究Principal Investigator
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
On canonically induced geometric structures on submaniflds and the equivalence problem
- Principal Investigator
  
  SASAKI T
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
テーダ関数とその一般化の満たす微分および関数方程式の研究
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
正値2次形式の表現数についての代数的・解析的研究
- Principal Investigator
  
  味村良雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kobe University
確率場の解析的研究
- Principal Investigator
  
  樋口保成
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
超幾何微方変程式系の微分幾何的・代数的・解析的研究
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kobe University
複素領域の微分方程式・差分方程式の研究
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形楕円型偏微分方程式の境界値問題の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形2階偏微分方程式の粘性解と変分問題の研究
- Principal Investigator
  
  山田直記
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
多様体上の微分方程式の解析
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University

[Book] 数学ソフトウェアの作り方2022
- Author(s)
  高山信毅、野呂正行、小原功任、藤本光史、高山信毅、濱田龍義
- Total Pages
  252
- Publisher
  共立出版
- ISBN
  9784320115316
- Data Source
  KAKENHI-PROJECT-21K03270
[Book] 超幾何学校2013/2014講義録, Rokko Lectures in Mathematics 23.2015
- Author(s)
  高山信毅(編)
- Total Pages
  134
- Publisher
  神戸大学大学院理学研究科数学専攻
- Data Source
  KAKENHI-PROJECT-25287018
[Book] Mathematical Software -ICMS 2010 Third International Congress on Mathematica Software, Kobe, Japan2010
- Author(s)
  M.Joswig, K.Fukuda, J.Van der Hoeven, N.Takayama編集
- Total Pages
  6327
- Publisher
  Springer Lecture Notes in Computer Science
- Data Source
  KAKENHI-PROJECT-19204008
[Book] Mathematical Software-ICMS 2010 Third International Congress on Mathematica Software, LNCS 63272010
- Author(s)
  M.Joswig, K.Fukuda,J.Van der Hoeven, N.Takayama
- Total Pages
  368
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-19204008
[Book] Proceedings of ICMS 2006, Lecture Notes in Computer Science (LNCS) 4151.2006
- Author(s)
  Nobuki Takayama, Andres Iglesias編集
- Total Pages
  452
- Publisher
  Springer
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Book] Proceedings of ICMS 2006, Lecture Notes in Computer Science (LNCS) 4151.2006
- Author(s)
  Nobuki Takayama, Andres Iglesias 編集
- Total Pages
  452
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Restrictions of Pfaffian systems for Feynman integrals2023
- Author(s)
  Chestnov Vsevolod、Matsubara-Heo Saiei J.、Munch Henrik J.、Takayama Nobuki
- Journal Title
  
  Journal of High Energy Physics
  
  Volume: 2023 Issue: 11
- DOI
  10.1007/jhep11(2023)202
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13930, KAKENHI-PROJECT-21K03270
[Journal Article] Macaulay matrix for Feynman integrals: linear relations and intersection numbers2022
- Author(s)
  Chestnov Vsevolod、Gasparotto Federico、Mandal Manoj K.、Mastrolia Pierpaolo、Matsubara-Heo Saiei J.、Munch Henrik J.、Takayama Nobuki
- Journal Title
  
  Journal of High Energy Physics
  
  Volume: 2022 Issue: 9
- DOI
  10.1007/jhep09(2022)187
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03270, KAKENHI-PROJECT-22K13930, KAKENHI-PROJECT-19K14554
[Journal Article] Holonomic Gradient Method for Two Way Contingency Tables2020
- Author(s)
  Y.Tachibana;Y.Goto;T.Koyama;N.Takayama
- Journal Title
  
  Algebraic Statistics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05279
[Journal Article] A-hypergeometric distributions and Newton polytopes2018
- Author(s)
  Takayama, N., Kuriki, S. and Takemura, A.
- Journal Title
  
  Advances in Applied Mathematics
  
  Volume: 99 Pages: 109-133
- DOI
  10.1016/j.aam.2018.05.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02791, KAKENHI-PROJECT-25220001, KAKENHI-PROJECT-16H02792, KAKENHI-PROJECT-26220701, KAKENHI-PROJECT-18H04092
[Journal Article] Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method2018
- Author(s)
  Hashiguchi Hiroki、Takayama Nobuki、Takemura Akimichi
- Journal Title
  
  Journal of Multivariate Analysis
  
  Volume: 165 Pages: 270-278
- DOI
  10.1016/j.jmva.2018.01.002
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05279, KAKENHI-PROJECT-25220001, KAKENHI-PROJECT-16H02791
[Journal Article] Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups2017
- Author(s)
  T.Hibi, K.Nishiyama, N.Takayama
- Journal Title
  
  Advances in Mathematics
  
  Volume: 306 Pages: 303-327
- DOI
  10.1016/j.aim.2016.10.021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25287018, KAKENHI-PROJECT-26220701, KAKENHI-PROJECT-20K20283
[Journal Article] 2元分割表に対する差分ホロノミック勾配法の実装2017
- Author(s)
  橘義仁, 後藤良彰, 高山信毅
- Journal Title
  
  数理研考究録
  
  Volume: 印刷中
- Data Source
  KAKENHI-PROJECT-26610039
[Journal Article] 2元分割表に対する差分ホロノミック勾配法の実装2016
- Author(s)
  後藤良彰, 橘義仁, 高山信毅
- Journal Title
  
  数理研講究録
  
  Volume: 未定
- Data Source
  KAKENHI-PROJECT-26610039
[Journal Article] Irregularity of Modified $A$-Hypergeometric Systems2015
- Author(s)
  F.Castro-Jimenez, M.C.Fernandez-Fernandez, T.Koike, N.Takayama
- Journal Title
  
  Transaction of AMS
  
  Volume: 367 Issue: 8 Pages: 5415-5445
- DOI
  10.1090/s0002-9947-2014-06225-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287018
[Journal Article] Software Packages for Holonomic Gradient Method2014
- Author(s)
  T.Koyama, H.Nakayama, K.Ohara, T.Sei, N.Takayama
- Journal Title
  
  Mathematial Software --- ICMS 2014, 4th International Conference, Proceedings
  
  Volume: 1 Pages: 706-712
- DOI
  10.1007/978-3-662-44199-2_105
- ISBN
  9783662441985, 9783662441992
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220001, KAKENHI-PROJECT-25400132
[Journal Article] The singular locus of Lauricella's FC2014
- Author(s)
 Ryohei Hattori, Nobuki Takayama
- Journal Title
 
 Journal of the Mathematical Society of Japan
 
 Volume: 66 Issue: 3 Pages: 981-995
- DOI
 10.2969/jmsj/06630981
- NAID
 130004927753
- ISSN
 0025-5645, 1881-1167, 1881-2333
- Language
 English
- Peer Reviewed
- Data Source
 KAKENHI-PROJECT-25287018
[Journal Article] Holonomic Rank of the Fisher-Bingham System of Differential Equations2014
- Author(s)
  T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 218 Issue: 11 Pages: 2060-2071
- DOI
  10.1016/j.jpaa.2014.03.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25287018
[Journal Article] Holonomic Gradient Descent for the Fisher-Bingham Distribution on the n-dimensional Sphere2014
- Author(s)
  T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama
- Journal Title
  
  Computational Statistics
  
  Volume: (accepted) Issue: 3-4 Pages: 661-683
- DOI
  10.1007/s00180-013-0456-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740064, KAKENHI-PROJECT-25220001
[Journal Article] Holonomic Gradient Descent and its Application to the Fisher-Bingham Integral2011
- Author(s)
  H.Nakayama, K.Nishiyama, M.Noro, K.Ohara, T.Sei, N.Takayama, A.Takemura
- Journal Title
  
  Advances in Applied Mathematics (2011), to appear. 03
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] The Computation of the Logarithmic Cohomology for Plane Curves,2009
- Author(s)
  F.J.Castro-Jimenez, N.Takayama
- Journal Title
  
  Journal of Algebra 322
  
  Pages: 3839-3851
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Holonomic Rank of A-Hypergeometric Differential-Difference Equations2009
- Author(s)
  K. Ohara & N. Takayama
- Journal Title
  
  Journal of Pure and Applied Algebra 213
  
  Pages: 1536-1544
- NAID
  120001506673
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] The Computation of the Logarithmic Cohomology for Plane Curves2009
- Author(s)
  F. J. Castro-Jimenez, N. Takayama
- Journal Title
  
  Journal of Algebra 322
  
  Pages: 3839-3851
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Holonomic Rank of A-Hypergeometric Differential-Difference Equations2009
- Author(s)
  K.Ohara, N.Takayama
- Journal Title
  
  Journal of Pure and Applied Algebra 213
  
  Pages: 1536-1544
- NAID
  120001506673
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Componentwise linear ideals with minimal or maximal Betti numbers2008
- Author(s)
  J. Herzog, T. Hibi, S. Murai, Y. Takayama
- Journal Title
  
  Ark. Mat 46
  
  Pages: 69-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340008
[Journal Article] Local Grobner Fan2007
- Author(s)
  R.Bahloul, N.Takayama
- Journal Title
  
  C.R. Acad.Sci. Paris, Ser. I. (to appear)
- NAID
  120001506675
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Local Grobner Fan2007
- Author(s)
  R. Bahloul & N. Takayama
- Journal Title
  
  C. R. Acad. Sci. Paris, Ser. I 344
  
  Pages: 147-152
- NAID
  120001506675
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Andres Iglesias edited, Proceedings of ICMS 2006, Lecture Notes in Computer Science (LNCS)2006
- Author(s)
  Nobuki Takayama
- Journal Title
  
  LNCS 4151
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Tangent cone algorithm for homogenenized differential operators2005
- Author(s)
  M.Granger, T.Oaku, N.Takayama.
- Journal Title
  
  Journal of Symbolic Computation 39
  
  Pages: 417-431
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Tangent cone algorithm for Homogenized differential operators2005
- Author(s)
  M. Granger, T. Oaku, N. Takayama
- Journal Title
  
  J. Symb. Comp Vol. 39
  
  Pages: 417-431
- NAID
  120001506676
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340028
[Journal Article] OpenXMプロジェクトの過去,現在,未来2005
- Author(s)
  高山信毅
- Journal Title
  
  数式処理 12
  
  Pages: 51-56
- NAID
  10019341853
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] OpenXMプロジェクトの過去,現在,未来2005
- Author(s)
  高山信毅
- Journal Title
  
  数式処理 12(1)
  
  Pages: 51-56
- NAID
  10019341853
- Data Source
  KAKENHI-PROJECT-17340028
[Journal Article] ディジタル数学公式集の現状と未来2004
- Author(s)
  高山信毅
- Journal Title
  
  情報処理
  
  Pages: 740-745
- NAID
  110002768272
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Singularities of the hypergeometric system associated with a monomial curve2003
- Author(s)
  Fransisco Jesus Castro-Jimnez, Nobuki Takayama
- Journal Title
  
  Trans.Amer.Math.Soc. 355
  
  Pages: 3761-3775
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340036
[Journal Article] Quadratic Relations for Generalized Hypergeometric Functions _pF_<p-1>2003
- Author(s)
 K.Ohara, Y.Sugiki, N.Takayama
- Journal Title
 
 Funkcialaj Ekvacioj 46-2
 
 Pages: 213-251
- Description
 「研究成果報告書概要(和文)」より
- Data Source
 KAKENHI-PROJECT-14340036
[Journal Article] Quandratic Relations for Generalized Hypergeometric Functions _pF_<p-1>2003
- Author(s)
 Katsuyoshi.Ohara, Yuichi Sugiki, Nobuki Takayama
- Journal Title
 
 Funkcialaj Ekvacioj 46-2 (in press)
 
 Pages: 213-251
- Description
 「研究成果報告書概要(欧文)」より
- Data Source
 KAKENHI-PROJECT-14340036
[Journal Article] Algebraic algorithms for D-modules and numerical analysis
- Author(s)
  T.Oaku, Y.Shiraki, N.Takayama
- Journal Title
  
  Computer mathematics, Lecture Notes Ser.Comput.(World Sci.Publishing) 10
  
  Pages: 23-39
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Presentation] Holonomic gradient method (HGM)での数値解析2024
- Author(s)
  高山信毅
- Organizer
  Risa/Asir conference 2024
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] 2変数 Horn 超幾何系の特異超曲面への制限方程式2024
- Author(s)
  高山信毅
- Organizer
  超幾何方程式研究会 2024
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] Feynman 積分の解析のための mt_mm パッケージ2023
- Author(s)
  松原宰栄,高山信毅
- Organizer
  Risa/Asir conference 2023
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] Numerical analysis in holonomic methods2023
- Author(s)
  Nobuki Takayama
- Organizer
  Hypergeometric School 2023 --- research camp
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] Restriction algorithms for holonomic systems and their applications2023
- Author(s)
  Nobuki Takayama
- Organizer
  ICIAM2023 mini symposium: Hypergeometric functions in statistics and particle physics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] 超幾何積分とFeynman積分2022
- Author(s)
  高山信毅
- Organizer
  特殊多様体・特殊関数研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] 微分作用素環のMacaulay MatrixとFeynman 積分の解析への応用2022
- Author(s)
  松原宰栄,高山信毅
- Organizer
  Risa/Asir conference 2022, 金沢
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] Euler characteristic heuristic and computer algebra2021
- Author(s)
  Nobuki Takayama
- Organizer
  Limoges computer algebera seminar, France
- Invited
- Data Source
  KAKENHI-PROJECT-21K03270
[Presentation] GKZ 超幾何系(A-超幾何系)の Pfaffian system の計算法2020
- Author(s)
  高山信毅
- Organizer
  超幾何方程式研究会2020
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] Hypergeometric functions and statistics2019
- Author(s)
  N.Takayama
- Organizer
  Differential Systems: from theory to computer mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] Jupyter への asir カーネルの実装2019
- Author(s)
  高山信毅
- Organizer
  日本数式処理学会第28回大会
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] HGM の不安定性をどう回避するか?2019
- Author(s)
  高山信毅
- Organizer
  確率・統計・行列ワークショップ
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] Twisted cohomology 群の交点数を求めるアルゴリズム2019
- Author(s)
  高山信毅
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] Python を用いた asir 実行環境の実装2019
- Author(s)
  池田;高山
- Organizer
  Computer Algebra --- Theory and its Applications
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 分割表の条件付き最尤推定のための Risa/Asir パッケージ2018
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference, 2018
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 超幾何方程式 E(k,n)の contiguity relation を用いた乱数生成2018
- Author(s)
  高山信毅
- Organizer
  第１２回玉原特殊多様体研究集会
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 計算代数の direct sampler への応用2018
- Author(s)
  高山信毅
- Organizer
  Computer algebra --- theory and its applications
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] A-超幾何関数のみたすPfaffian方程式系の構成2017
- Author(s)
  高山信毅
- Organizer
  北海道特殊関数セミナー
- Place of Presentation
  北海道大学
- Invited
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] 常微分(差分)方程式用有理数対応数値解析パッケージ2017
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference 2017
- Place of Presentation
  金沢大学
- Year and Date
  2017-03-28
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] Non-central complex Wishart 行列の最大固有値の CDF の数値計算2017
- Author(s)
  高山信毅
- Organizer
  確率, 統計, 行列ワークショップ松本 2017
- Invited
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] Random matrix と多変数特殊関数の数値計算2017
- Author(s)
  高山信毅
- Organizer
  複素微分方程式の楽しみ
- Invited
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 2元分割表の条件付き確率の差分HGMによる計算2016
- Author(s)
  高山信毅
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学(茨城県、つくば市)
- Year and Date
  2016-03-17
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] A-超幾何多項式の近似値公式と分割表統計2016
- Author(s)
  高山信毅
- Organizer
  超幾何方程式研究会 2016
- Place of Presentation
  神戸大学(兵庫県、神戸市)
- Year and Date
  2016-01-06
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] Sylvester 型行列による超幾何関数の数値評価 --- グレブナー基底を使わない方法2015
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference 2015
- Place of Presentation
  金沢大学
- Year and Date
  2015-03-18
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] Groebner bases and holonomic gradient method2015
- Author(s)
  Nobuki Takayama
- Organizer
  The 8th Mathematical Society of Japan Seasonal Institute, Current Trends on Gr\"obner Bases
- Place of Presentation
  Hotel Nikko Osaka (大阪府、大阪市)
- Year and Date
  2015-07-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] Sylvester 型行列による超幾何関数の数値評価 --- グレブナー基底を使わない方法2015
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference 2015
- Place of Presentation
  金沢大学
- Year and Date
  2015-03-18
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] 超幾何多項式の期待値写像と情報幾何2015
- Author(s)
  高山信毅
- Organizer
  超幾何方程式研究会 2015
- Place of Presentation
  神戸大学
- Year and Date
  2015-01-07
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] 多変数超幾何関数の数値計算とその応用2014
- Author(s)
  高山信毅
- Organizer
  第八回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2014-09-17
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] 多変数超幾何関数の数値計算とその応用,2014
- Author(s)
  高山信毅
- Organizer
  第八回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2014-09-17
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] Introduction and recent progress of the holonomic gradient method2014
- Author(s)
  Nobuki Takayama
- Organizer
  CASTA 2014
- Place of Presentation
  京都
- Invited
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] ホロノミック系の数値解析の統計への応用2014
- Author(s)
  高山信毅
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  京都大学
- Year and Date
  2014-12-21
- Invited
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] ホロノミック系と統計2011
- Author(s)
  高山信毅
- Organizer
  計算による数理科学の展開2011
- Place of Presentation
  神戸大学(兵庫県)(招待講演)
- Year and Date
  2011-01-07
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] Holonomic graidient descent and its application to Fisher-Bingham integral2010
- Author(s)
  N.Takayama
- Organizer
  The second crest-sbm international conference "Harmony of Groebner bases and the modern industrial society"
- Place of Presentation
  大阪
- Year and Date
  2010-06-30
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] 統計学に現れるパラメータ付き積分のためのD-加群理論入門2009
- Author(s)
  高山信毅
- Organizer
  計算代数統計学の展開
- Place of Presentation
  統計数理研究所
- Year and Date
  2009-11-27
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] 不完全A超幾何関数-a first step2009
- Author(s)
  西山絢太, 高山信毅
- Organizer
  グレブナ基底と現代産業社会の調和
- Place of Presentation
  鹿児島大学
- Year and Date
  2009-02-18
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] The Buchberger algorithm in the ring of differential operators and its applications2006
- Author(s)
  Nobuki, Takayama
- Organizer
  RICAM/RISC
- Place of Presentation
  Austria
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340028

1. TAKANO K (10011678)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. SASAKI T (00022682)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. HIGUCHI Yasunari (60112075)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
4. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
5. YAMAZAKI Tadashi (30011696)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. NAKANISHI Y (70183514)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. FUKUYAMA Katsushi (60218956)

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TAKAYAMA NOBUKI 高山 信毅

Takayama Nobuki 高山 信毅

TAKAYAMA Nobuki 高山 信毅

高山 信穀 タカヤマ ノブユキ

高山 信毅 タカヤマ ノブキ

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多変数超幾何関数と現代統計学Principal Investigator

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Study of multi-variable hypergeometric differential equations for statisticsPrincipal Investigator

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High precision numerical algorithms by finite fieldsPrincipal Investigator

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Theory and numerical evaluation of special functions of several variablesPrincipal Investigator

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Computational Approaches for Mathematical SciencesPrincipal Investigator

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Computational Analysis of Hypergeometric Differential EquationsPrincipal Investigator

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GKZ systems with irregular singularitiesPrincipal Investigator

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TAKAYAMA NOBUKI 高山信毅

Takayama Nobuki 高山信毅

TAKAYAMA Nobuki 高山信毅

高山信穀タカヤマノブユキ

高山信毅タカヤマノブキ