Rankin C; Wong TKL, 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
Journal articles | 2025
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
Journal articles | 2025
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
Journal articles | 2024
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), 2024, pp. 251 - 266, http://dx.doi.org/10.1515/crelle-2024-0071
Journal articles | 2023
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
Journal articles | 2023
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
Journal articles | 2023
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
Journal articles | 2021
Rankin C, 2021, 'Strict convexity and C1 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
Journal articles | 2020
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
Preprints | 2026
Bryan P; Clutterbuck J; Rankin C, 2026, Convexity inequalities for eigenvalues and log-concavity of eigenfunctions, https://arxiv.org/abs/2605.01334v1
Preprints | 2026
McCann RJ; O'Brien LD; Rankin C, 2026, On the Hausdorff dimension and singularities of the monopolist's free boundary curve, https://arxiv.org/abs/2603.14100v2
Brendle S; Léger F; McCann RJ; Rankin C, 2023, A geometric approach to apriori estimates for optimal transport maps, https://arxiv.org/abs/2311.10208v2
I'm a mathematician studying various problems related to elliptic partial differential equations. I study both the elliptic Monge–Ampère equation and its many areas of applications. I'm particularly interested in applications to optimal transport and economics.
