(with Takuya Kamijima, Ken Funo and Takahiro Sagawa) "Optimal Finite-time Maxwell's Demons in Langevin Systems" to appear in Physical Review Research.
(with Kazuhiro Ishige and Paolo Salani) "Riemannian starshape and capacitary problems", Nonlinear Anal. Real World Appl. 85 (2025), 104368.
(with Jun Kitagawa) "Equal area partitions of the sphere with diameter bounds, via optimal transport", to apper in Bull. Lond. Math. Soc.
(with Kazuhiro Ishige and Paolo Salani) "Characterization of F-concavity preserved by the Dirichlet heat flow", Trans. Amer. Math. Soc. 377 (2024), 5705--5748.
(with Kazuhiro Ishige and Paolo Salani)"Hierarchy of deformations in concavity", Info. Geo. 7(2024), 251--269.
"Spectral convergence of high-dimensional spheres to Gaussian spaces", J. Spectr. Theory 12 (2022), no. 4, 1317--1346.
(with Kazuhiro Ishige and Paolo Salani) "New characterizations of log-concavity", Ann. Mat. Pura Appl. (4) 201 (2022), no. 4, 1531–1552. journal link
(with Kazuhiro Ishige and Paolo Salani) "Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains", Commun. Contemp. Math. 24 (2022), no. 9, Paper No. 2150097, 29 pp. journal link
"Change the coefficients of conditional entropies in extensivity", J. Math. Phys. 62 (2021), 103305, 9 pp. journal link.
(with Hiroshi Matsuzoe)"Invariant metric under deformed Markov embeddings with overlapped supports", Results Math. 76 (2021), no. 2, Paper No. 54, 17 pp. journal link
(with Hiroshi Matsuzoe) "Gauge freedom of entropies on q-Gaussian measures", Progress in Information Geometry: Theory and Applications (2021), 127--152, chapter link
(with Shin-ichi Ohta) "Equality in the logarithmic Sobolev inequality", manuscripta mathematica. 162 (2020), 271--282. journal link
(with Kazuhiro Ishige and Paolo Salani) "To logconcavity and beyond", Commun. Contemp. Math. 22 (2020),1950009,17 pp. journal link
"Convergence of combinatorial Ricci flows to degenerate circle patterns", Trans. Amer. Math. Soc. 372 (2019), 7597--7617. journal link
(with Takashi Shioya) "High-dimensional metric-measure limit of Stiefel and flag manifolds", Math.Z, 290 (2018),873--907 journal link
"Isoperimetric profile of radial probability measures on Euclidean spaces", J. Funct. Anal. 266 (2014), 3435--3454. journal link
"Behaviors of \varphi-exponential distributions in Wasserstein geometry and an evolution equation", SIAM J. Math. Anal. 45(2013), no.04, 2546--2556. journal link
(with Shin-ichi Ohta) "Displacement convexity of generalized relative entropies. II", Comm. Anal. Geom. 21(2013), no.04,687-785, journal link
(with Takumi Yokota) "Cone structure of $L^2$-Wasserstein spaces", J. Topol. Anal. 04(2012), no.02, 237-253, journal link
"Wasserstein geometry of porous medium equation", Ann. Inst.H. Poincare Anal. Non Lineaire 29(2012), no.2, 217-232. journal link
"Wasserstein geometry of Gaussian measures", Osaka J. Math. 48 (2011), no.4, 1005-1026, journal link
(with Shin-ichi Ohta) "Displacement convexity of generalized relative entropies", Adv. Math. 228 (2011), no.3, 1742-1787, journal link
"On Wasserstein geometry of Gaussian measures", Adv. Stud. Pure Math. 57 (2010), 463-472, journal link
Preprints
(with Han Bao)"Proper losses regret at least 1/2-order" arXiv:2407.10417
(with Jun Kitagawa) "Disintegrated optimal transport for metric fiber bundles" arXiv:2407.01879
(with Kazuhiro Ishige and Haruto Tokunaga) "Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds" arXiv:2405.03982
(with Jun Kitagawa) "Sliced optimal transport: is it a suitable replacement?" arXiv: 2311.15874
(with Keiichi Morikuni and Koya Sakakibara) "Error estimate for regularized optimal transport problems via Bregman divergence" arXiv:2309.11666
"Relaxation of optimal transport problem via strictly convex functions", arXiv:2102.07336
Other publications
"あなたが毎日直面している輸送の問題" 応用数学勉強会レクチャーノート【2023】(Japanese) web
"最適輸送理論梗概", Surikaisekikenkyusho Kokyuroku 1916 (Japanese) (2014), 172-185.
"Some evolution equations as Wasserstein gradient flows", Surikaisekikenkyusho Kokyuroku 1896 (2014), 98-114.
"Properties of $q$-Gaussian measures related to the isoperimetric and concentration profiles", Surikaisekikenkyusho Kokyuroku 1862 (2013), 52-62.
"Wasserstein geometry of non-linear Fokker-Planck type equations", Surikaisekikenkyusho Kokyuroku 1671 (Japanese) (2009), 20-36.
日本語
[雑誌] 「リーマン多様体」」サイエンス社 数理科学 2025年4月号, 17--24.
[書評] 河東泰之著：数学者の思案, 日本評論社 数学セミナー, 2025年4月号, 87.
[雑誌] 「未来大人宣言」岩波書店 科学, 2024年8月号, 671.
[雑誌] 「ふわふわワクワク不惑」日本評論社 数学セミナー, 2024年7月号, 1.
[雑誌] 「微分しない微分幾何学入門」現代数学社 現代数学, 2024年6月号, 8--13.
[雑誌]「私の輸送径路」サイエンス社 数理科学 2023年9月号, 75--81.
[雑誌] 「輸送計画，輸送写像，輸送経路―有限集合とR^2 の最適輸送理論の違い―」応用数理, 第32巻2号 (2022), 69--79.
[雑誌] 「Brunn-Minkowski 不等式」日本評論社 数学セミナー, 2020年11月号, 27--29.
[雑誌] 「Wasserstein幾何学と情報幾何学」サイエンス社 数理科学 2020年11月号, 67--73.
[雑誌] 「測度距離空間の微分幾何学」サイエンス社 数理科学 2017年6月号, 30--37.
[本] (桑江一洋; 塩谷隆; 太田慎一; 桒田和正 共著) 数学メモアール第8巻 最適輸送理論とリッチ曲率, 日本数学会 (2017).
[書評] C.Villan著i: Optimal Transport-Old and New , 日本数学会 数学 67 (2015), 216--221.