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Research Articles

  • 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 Yukio Kametani and Makiko Sasada, Topological Structures of Large Scale Interacting Systems via Uniform Functions and Forms, Forum of Mathematics, Sigma, Volume 12 (2024), e107; DOI: 10.1017/fms.2024.61.
  • With Hohto Bekki, Kei Hagihara, Tatsuya Ohshita, Kazuki Yamada, and Shuji Yamamoto, The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields, Advances in Mathematics 448 (2024) 109716; DOI: 10.1016/j.aim.2024.109716.
  • With Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto, Canonical Equivariant Cohomology Classes Generating Zeta Values of Totally Real Fields, Trans. Amer. Math. Soc. Ser. B 10 (2023), 613-635; DOI: 10.1090/btran/144.
  • With Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto, $p$-adic Polylogarithms and $p$-adic Hecke $L$-functions for Totally Real Fields, Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2022 (2022), no. 791, pp. 53-87; DOI: 10.1515/crelle-2022-0040.
  • 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.

Preprints

  • With Jun Koriki, Makiko Sasada, Hidetada Wachi and Shuji Yamamoto, On Interactions for Large Scale Interacting Systems, arXiv:2410.06778 [math.PR].
  • With Makiko Sasada, On Uniform Functions on Configuration Spaces of Large Scale Interacting Systems, preprint; arXiv:2408.12886 [math.PR].
  • With Makiko Sasada, Varadhan's decomposition of shift-invariant closed uniform forms for large scale interacting systems on general crystal lattices, preprint: arXiv:2208.14917 [math.PR].
  • 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].

Other Articles (in Japanese)