Jun Kitagawa

Preprints


  1. Two new families of metrics via optimal transport and barycenter problems. In submission. Joint with Asuka Takatsu.
  2. Conditions for existence of single valued optimal transport maps on convex boundaries with nontwisted cost. In submission. Joint with Seonghyeon Jeong.
  3. Equal area partitions of the sphere with diameter bounds, via optimal transport. In submission. Joint with Asuka Takatsu.

Peer reviewed publications

  1. A perturbative approach to the parabolic optimal transport problem for non-MTW costs. SIAM J. Math. Anal., 55(6), pp. 6740-6763, 2023. Joint with Farhan Abedin.

  2. An optimal transport problem with storage fees. Electron. J. Differential Equations, vol 2023, paper no. 22, 24pp, 2023. Joint with Mohit Bansil.

  3. Quantitative stability in the geometry of semi-discrete optimal transport. Int. Math. Res. Not. IMRN., no. 10, pp. 7354-7389, 2022. Joint with Mohit Bansil.

  4. A Newton algorithm for semi-discrete optimal transport with storage fees. SIAM J. Optim., 31(4), pp. 2586-2613, 2021. Joint with Mohit Bansil.

  5. \(\mathcal{W}_\infty\)-transport with discrete target as a combinatorial matching problem.. Arch. Math. (Basel), 117(2), pp. 189-202, 2021. Joint with Mohit Bansil.

  6. Optimal transport and the Gauss curvature equation. Methods Appl. Anal., 27(4), pp. 387-404, 2020. Joint with Nestor Guillen.

  7. Exponential Convergence of Parabolic Optimal Transport on Bounded Domains. Anal. PDE, 13(7), pp. 2183-2204, 2020. Joint with Farhan Abedin.

  8. Inverse Iteration for the Monge-Ampère Eigenvalue. Proc. Amer. Math. Soc., 148(11), pp. 4875-4886, 2020. Joint with Farhan Abedin.

  9. Estimates for Dirichlet-to-Neumann maps as integro-differential operators. Potential Anal., 53(2), pp. 485-521, 2020. Joint with Nestor Guillen and Russell Schwab.

  10. Free discontinuities in optimal transport. Arch. Ration. Mech. Anal., 232(3), pp. 1505-1541, 2019. Joint with Robert McCann.

  11. Convergence of a Newton algorithm for semi-discrete optimal transport. J. Eur. Math. Soc. (JEMS), 21(9), pp. 2603-2651, 2019. Joint with Quentin Mérigot and Boris Thibert.

  12. Pointwise inequalities in geometric optics and other generated Jacobian equations. Comm. Pure Appl. Math., 70(6), pp. 1146-1220, 2017. Joint with Nestor Guillen.

  13. Prohibiting isolated singularities in optimal transport. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 16(1) pp. 277-290, 2016. Joint with Young-Heon Kim.

  14. The multi-marginal optimal partial transport problem. Forum Math. Sigma, 3, pp. e17, 28, 2015. Joint with Brendan Pass.

  15. On the local geometry of maps with c-convex potentials. Calc. Var. Partial Differential Equations, 52(1-2), pp. 345-387, 2015. Joint with Nestor Guillen.

  16. On the degeneracy of optimal transportation. Comm. Partial Differential Equations, 39(7), pp. 1329-1363, 2014. Joint with Young-Heon Kim.

  17. An iterative scheme for solving the optimal transportation problem. Calc. Var. Partial Differential Equations, 51(1-2), pp. 243-263, 2014.

  18. Regularity for the optimal transportation problem with Euclidean distance squared cost on the embedded sphere. SIAM J. Math. Anal., 44(4), pp. 2871-2887, 2012. Joint with Micah Warren.

  19. A parabolic flow toward solutions of the optimal transportation problem on domains with boundary. J. Reine Angew. Math., 672, pp. 127-160, 2012.