TAKATSU, Asuka

Title
Professor
Field
Geometric Analysis
Research interests
Geometric Analysis from the viewpoint of Optimal Transport
Current research

My research objects are mainly Riemannian manifolds and metric measure spaces. I analyze how they are curved using an optimal transport theory.
Selected publications
  1. (with Jun Kitagawa) Equal area partitions of the sphere with diameter bounds, via optimal transport, Bull. Lond. Math. Soc., to appear.
  2. (with Kazuhiro Ishige and Paolo Salani) Characterization of F-concavity preserved by the Dirichlet heat flow, Trans. Amer. Math. Soc. 377 (2024), 5705--5748.
  3. Spectral convergence of high-dimensional spheres to Gaussian spaces, J. Spectr. Theory 12 (2022), no. 4, 1317--1346.
  4. Convergence of combinatorial Ricci flows to degenerate circle patterns, Trans. Amer. Math. Soc. 372 (2019), 7597--7617.
  5. (with Takashi Shioya) High-dimensional metric-measure limit of Stiefel and flag manifolds, Math.Z, 290 (2018),873--907.
  6. Isoperimetric profile of radial probability measures on Euclidean spaces, J. Funct. Anal. 266 (2014), 3435--3454.
  7. (with Shin-ichi Ohta) Displacement convexity of generalized relative entropies, Adv. Math. 228 (2011), no.3, 1742--1787.

Memberships, activities and

Awards

The Mathematical Society of Japan

Awards Kiyoshi Oka Prize for Young Women in Mathematics (2017)

JJIAM Best Paper Award(2023)