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Research Articles

  • With Makiko Sasada, Varadhan's Decomposition of Shift-Invariant Closed $L^2$-forms for Large Scale Interacting Systems on the Euclidean Lattice, preprint: arXiv:2111.08934 [math.PR].
  • With Yukio Kametani and Makiko Sasada, Topological Structures of Large Scale Interacting Systems via Uniform Functions and Forms, preprint: arXiv:2009.04699 [math.PR].
  • With Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto, Canonical Equivariant Cohomology Classes Generating Zeta Values of Totally Real Fields, preprint: arXiv:1911.02650 [math.NT].
  • With Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto, $p$-adic Polylogarithms and $p$-adic Hecke $L$-functions for Totally Real Fields, preprint: arXiv:2003.08157 [math.NT], accepted to Crelle's Journal.
  • With Makiko Sasada, A Decomposition Theorem of Varadhan Type for Co-local Forms on Large Scale Interacting Systems, preprint: arXiv:2105.06043 [math.PR], accepted to RIMS Kôkyûroku Bessatsu.
  • With Kei Hagihara, Shinichi Kobayashi, Kazuki Yamada, Shuji Yamamoto, and Seidai Yasuda, Category of mixed plectic Hodge structures, Asian J. Math. 24 (2020), no. 1, 31–76; DOI: 10.4310/AJM.2020.v24.n1.a2.
  • With Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto, The Hodge realization of the polylogarithm on the product of multiplicative groups, Math. Z. 296 (2020), no. 3–4, 1787–1817; DOI: 10.1007/s00209-020-02483-y.
  • With Daiki Suehiro, Kohei Hatano, Eiji Takimoto, Shuji Yamamoto and Akiko Takeda, Theory and algorithms for shapelet-based multiple-instance learning. Neural Comput. 32 (2020), no. 8, 1580–1613: DOI: 10.1162/neco_a_01297.
  • With Ken Kobayashi, Naoki Hamada, Akiyoshi Sannai, Akinori Tanaka and Masashi Sugiyama, Bézier Simplex Fitting: Describing Pareto Fronts of´ Simplicial Problems with Small Samples in Multi-Objective Optimization, AAAI Vol. 33 (2019) No 01, 2304–2313; DOI: 10.1609/aaai.v33i01.33012304.
  • With Shinichi Kobayashi and Seidai Yasuda, The radius of convergence of the $p$-adic sigma function, Math. Z. (2017) Vol. 286: 751–781; DOI: 10.1007/s00209-016-1783-x.
  • With Shinichi Kobayashi, Integral structures on $p$-adic Fourier theory, Annales de L'Institut Fourier, Vol. 66 no. 2 (2016), 521–550; DOI: 10.5802/aif.3018.
  • With Hidekazu Furusho and Shinichi Kobayashi, $p$-adic Eisenstein–Kronecker series for CM elliptic curves and the Kronecker limit formulas, Nagoya Math. J. 219 (2015), 269–302; DOI: 10.1215/00277630-2891995.
  • With Guido Kings, $p$-adic Beilinson conjecture for ordinary Hecke motives associated to imaginary quadratic fields, RIMS Kôkyûroku Bessatsu B25: Algebraic Number Theory and Related Topics 2009, eds. T. Ichikawa, M. Kida, T. Yamazaki, June (2011), 9–30; Available at RIMS.
  • With Guido Kings, $p$-adic elliptic polylogarithm, $p$-adic Eisenstein series and Katz measure, American J. Math. 132 no. 6 (2010), 1609–1654; Available at Project MUSE.
  • With Shinichi Kobayashi, Algebraic theta functions and $p$-adic interpolation of Eisenstein-Kronecker numbers, Duke Math. J. 153 no. 2 (2010), 229–295; DOI: 10.1215/00127094-2010-024.
  • With Shinichi Kobayashi and Takeshi Tsuji, On the de Rham and $p$-adic realizations of the elliptic polylogarithm for CM elliptic curves, Annales scientifiques de l'ENS 43, fascicule 2 (2010), 185–234; DOI: 10.24033/asens.2119.
  • With Shinichi Kobayashi and Takeshi Tsuji, Realizations of the elliptic polylogarithm for CM elliptic curves, RIMS Kôkyûroku Bessatsu B12: Algebraic Number Theory and Related Topics 2007, eds. M. Asada, H. Nakamura and H. Takahashi, August (2009), 33–50; Available at RIMS.
  • With Shinichi Kobayashi, Algebraic theta functions and Eisenstein-Kronecker numbers, RIMS Kôkyûroku Bessatsu B4: Proceedings of the Symposium on Algebraic Number theory and Related Topics, eds. K. Hashimoto, Y. Nakajima and H. Tsunogai, December (2007), 63–78; Available at RIMS.
  • Specialization of the $p$-adic polylogarithm to $p$-th power roots of unity, Doc. Math., Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 73–97; Available at Documenta Mathematica.
  • On the $p$-adic realization of elliptic polylogarithms for CM-elliptic curves, Duke Math. J. 113 (2002), 193–236; DOI: 10.1215/S0012-7094-02-11321-0.
  • Syntomic cohomology as a $p$-adic absolute Hodge cohomology, Math. Z. 242/3 (2002), 443–480; DOI: 10.1007/s002090100351.
  • Rigid syntomic cohomology and $p$-adic polylogarithms, J. Reine Angew. Math. 529 (2000), 205–237; DOI: 10.1515/crll.2000.097.
  • Other Research

    • Ken Kobayashi, Naoki Hamada, Akiyoshi Sannai, Akinori Tanaka, Kenichi Bannai and Masashi Sugiyama, Bezier Simplex Fitting: Describing Pareto Fronts of Simplicial Problems with Small Samples in Multi-objective Optimization, arXiv:1812.05222.
    • Daiki Suehiro, Kohei Hatano, Eiji Takimoto, Shuji Yamamoto, Kenichi Bannai and Akiko Takeda, Multiple-Instance Learning by Boosting Infinitely Many Shapelet-based Classifiers, arXiv:1811.08084.
    • Daiki Suehiro, Kohei Hatano, Eiji Takimoto, Shuji Yamamoto, Kenichi Bannai and Akiko Takeda, Boosting the kernelized shapelets: Theory and algorithms for local features, arXiv:1709.01300.

    Other Articles (in Japanese)