Rchr
J-GLOBAL ID：201701000315581100
Update date: May. 23, 2024
Kumabe Masahiro
クマベ マサヒロ | Kumabe Masahiro
Affiliation and department：
The Open University of Japan 自然と環境コース
About The Open University of Japan 自然と環境コース
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Research field (1)：
Basic mathematics
Research theme for competitive and other funds (5)：
2021 - 2025 From algorithmic randomness to continuous real functions and real closed fields
2016 - 2020 ブール値探索コストの条件付き極値問題:資本対リスク比による手法の展開
2010 - 2015 ゲーム木における固有分布一意性の破れ:計算資源限定マルチンゲールによる研究
2007 - 2011 超準解析と計算可能性理論の融合
2005 - 2007 Sizes of Cohen-type forcing condition : Application to randomness and computational complexity
Papers (19)：
Hiroyuki Imai, Masahiro Kumabe, Kenshi Miyabe, Yuki Mizusawa, Toshio Suzuki. Rational Sequences Converging to Left-c.e. Reals of Positive Effective Hausdorff Dimension. Computability Theory and Foundations of Mathematics. 2022
Masahiro Kumabe, Kenshi Miyabe, Yuki Mizusawa, Toshio Suzuki. Solovay reducibility and continuity. J. Log. Anal. 2020. 12
Masahiro Kumabe, Toshio Suzuki. Resource-bounded martingales and computable Dowd-type generic sets. INFORMATION AND COMPUTATION. 2015. 242. 227-248
Masahiro Kumabe, H. Reiju Mihara. Preference aggregation theory without acyclicity: The core without majority dissatisfaction. GAMES AND ECONOMIC BEHAVIOR. 2011. 72. 1. 187-201
Masahiro Kumabe, H. Reiju Mihara. Computability of simple games: A complete investigation of the sixty-four possibilities. JOURNAL OF MATHEMATICAL ECONOMICS. 2011. 47. 2. 150-158
ｍore...
MISC (4)：
隈部 正博. Gnericな集合のチューリング次数について. 数理解析研究所講究録. 2017. 2050
Kumabe Masahiro, Suzuki Toshio, Yamazaki Takeshi. Truth-table reductions and minimum sizes of forcing conditions : preliminary draft(Proof Theory of Arithmetic). RIMS Kokyuroku. 2007. 1533. 8-14
Masahiro Kumabe, Toshio Suzuki, Takeshi Yamazaki. Truth-table reductions and minimum sizes of forcing conditions. 数理解析研究所講究録. 2007. 1553. 9--14
Kumabe Masahiro, Suzuki Toshio, Yamazaki Takeshi. Logarithmic truth-table reductions and minimum sizes of forcing conditions : preliminary draft (Proof Theory and Computation Theory). RIMS Kokyuroku. 2005. 1442. 42-47
Lectures and oral presentations (4)：
Genericな集合のチューリング次数について
(数学基礎論とその応用 2016)
Computable Dowd-type generic oracles
(The 11th Asian Logic Conference 2009)
Weak randomness, genericity and Boolean decision trees
(The 10th Asian Logic Conference 2008)
Fixed point free minimal degrees
(The 10th Asian Logic Conference 2008)
Professional career (1)：
Ph.D. (University of Chicago)
Committee career (1)：
2011/03 - 2013/03 日本数学会評議委員
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