papers and preprints

Published papers

1. "Spectral convergence of high-dimensional spheres to Gaussian spaces", J. Spectr. Theory 12 (2022), no. 4, 1317–1346.  journal link

2. (with Kazuhiro Ishige and Paolo Salani)"Hierarchy of deformations in concavity", Info. Geo.(2022).  journal link

3. (with Kazuhiro Ishige and Paolo Salani) "New characterizations of log-concavity", Ann. Mat. Pura Appl. (4) 201 (2022), no. 4, 1531–1552. journal link

4. (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

5. "Change the coefficients of conditional entropies in extensivity", J. Math. Phys. 62 (2021), 103305, 9 pp.  journal link. 

6. (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

7. (with Hiroshi Matsuzoe) "Gauge freedom of entropies on q-Gaussian measures", Progress in Information Geometry: Theory and Applications (2021), 127--152, chapter link

8. (with Shin-ichi Ohta) "Equality in the logarithmic Sobolev inequality", manuscripta mathematica. 162 (2020), 271--282. journal link

9. (with Kazuhiro Ishige and Paolo Salani) "To logconcavity and beyond", Commun. Contemp. Math. 22 (2020),1950009,17 pp. journal link

10. "Convergence of combinatorial Ricci flows to degenerate circle patterns", Trans. Amer. Math. Soc. 372 (2019), 7597--7617. journal link

11. (with Takashi Shioya) "High-dimensional metric-measure limit of Stiefel and flag manifolds", Math.Z, 290 (2018),873--907   journal link

12. "Isoperimetric profile of radial probability measures on Euclidean spaces", J. Funct. Anal. 266 (2014), 3435--3454. journal link

13. "Behaviors of \varphi-exponential distributions in Wasserstein geometry and an evolution equation", SIAM J. Math. Anal. 45(2013), no.04, 2546--2556. journal link 

14. (with Shin-ichi Ohta) "Displacement convexity of generalized relative entropies. II", Comm. Anal. Geom. 21(2013), no.04,687-785, journal link  

15. (with Takumi Yokota) "Cone structure of $L^2$-Wasserstein spaces", J. Topol. Anal. 04(2012), no.02, 237-253, journal link

16.  "Wasserstein geometry of porous medium equation", Ann. Inst.H. Poincare Anal. Non Lineaire 29(2012), no.2, 217-232. journal link

17. "Wasserstein geometry of Gaussian measures",  Osaka J. Math. 48 (2011), no.4, 1005-1026,  journal link

18.  (with Shin-ichi Ohta) "Displacement convexity of generalized relative entropies", Adv. Math. 228 (2011), no.3,  1742-1787,  journal link

19. "On Wasserstein geometry of Gaussian measures",  Adv. Stud. Pure Math. 57 (2010), 463-472, journal link

Preprints

1. (with Jun Kitagawa) "Two new families of metrics via optimal transport and barycenter problems" arXiv: 2311.15874 

2. (with Keiichi Morikuni and Koya Sakakibara) "Error estimate for regularized optimal transport problems via Bregman divergence" arXiv:2309.11666

3. (with Jun Kitagawa) "Equal area partitions of the sphere with diameter bounds, via optimal transport", arXiv:2306.16239

4. (with Kazuhiro Ishige and Paolo Salani) "Power concavity and Dirichlet heat flow", arXiv:2105.02574

5. "Relaxation of optimal transport problem via strictly convex functions",  arXiv:2102.07336

Other publications

1. "最適輸送理論梗概", Surikaisekikenkyusho Kokyuroku 1916 (Japanese) (2014), 172-185.

2. "Some evolution equations as Wasserstein gradient flows", Surikaisekikenkyusho Kokyuroku 1896  (2014), 98-114.

3. "Properties of $q$-Gaussian measures related to the isoperimetric and concentration profiles", Surikaisekikenkyusho Kokyuroku 1862  (2013), 52-62.

4. "Wasserstein geometry of non-linear Fokker-Planck type equations", Surikaisekikenkyusho Kokyuroku 1671 (Japanese) (2009), 20-36.

日本語

1. [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.

2. [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.

3. [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.

4. [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.

5. [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.

6. [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).

7. [書評] C.Villani:   Optimal Transport-Old and New , 日本数学会 数学 67 (2015), 216--221.