Select Publications

Journal articles

Rankin C; Wong T-KL, 2026, 'JKO schemes with general transport costs', Calculus of Variations and Partial Differential Equations, 65, http://dx.doi.org/10.1007/s00526-026-03256-x

Kainth AS; Rankin C; Wong T-KL, 2025, 'Bregman–Wasserstein Divergence: Geometry and Applications', IEEE Transactions on Information Theory, 71, pp. 8723 - 8752, http://dx.doi.org/10.1109/tit.2025.3606755

McCann RJ; Rankin C; Zhang KS, 2025, 'C1,1 regularity for principal-agent problems', Advances in Mathematics, 478, pp. 110396 - 110396, http://dx.doi.org/10.1016/j.aim.2025.110396

Brendle S; Léger F; McCann RJ; Rankin C, 2024, 'A geometric approach to apriori estimates for optimal transport maps', Journal für die reine und angewandte Mathematik (Crelles Journal), http://dx.doi.org/10.1515/crelle-2024-0071

Rankin C, 2023, 'Strict g-Convexity for Generated Jacobian Equations with Applications to Global Regularity', SIAM Journal on Mathematical Analysis, 55, pp. 5685 - 5714, http://dx.doi.org/10.1137/22m1518852

RANKIN C, 2023, 'A REMARK ON THE GEOMETRIC INTERPRETATION OF THE A3W CONDITION FROM OPTIMAL TRANSPORT', Bulletin of the Australian Mathematical Society, 108, pp. 162 - 165, http://dx.doi.org/10.1017/s0004972722001150

Rankin C, 2023, 'First and second derivative Hölder estimates for generated Jacobian equations', Calculus of Variations and Partial Differential Equations, 62, http://dx.doi.org/10.1007/s00526-022-02406-1

Rankin C, 2021, 'Strict convexity and $$C^1$$ regularity of solutions to generated Jacobian equations in dimension two', Calculus of Variations and Partial Differential Equations, 60, http://dx.doi.org/10.1007/s00526-021-02093-4

RANKIN C, 2020, 'DISTINCT SOLUTIONS TO GENERATED JACOBIAN EQUATIONS CANNOT INTERSECT', Bulletin of the Australian Mathematical Society, 102, pp. 462 - 470, http://dx.doi.org/10.1017/s0004972720000052


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