By Dr Cale Rankin

Journal articles

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

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), 2024, pp. 251 - 266, 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, '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, 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, 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

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

Bryan P; Clutterbuck J; Rankin C, 2026, Convexity inequalities for eigenvalues and log-concavity of eigenfunctions, https://arxiv.org/abs/2605.01334v1

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

McCann RJ; Rankin C; Zhang KS, 2024, The monopolist's free boundary problem in the plane, https://arxiv.org/abs/2412.15505v3

Rankin C; Wong T-KL, 2024, JKO schemes with general transport costs, https://arxiv.org/abs/2402.17681v1

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

McCann RJ; Rankin C; Zhang KS, 2023, $C^{1,1}$ regularity for principal-agent problems, https://arxiv.org/abs/2303.04937v3

Kainth AS; Rankin C; Wong T-KL, 2023, Bregman-Wasserstein divergence: geometry and applications, https://arxiv.org/abs/2302.05833v2

Rankin C, 2022, A remark on the geometric interpretation of the A3w condition from optimal transport, https://arxiv.org/abs/2209.08098v1

Rankin C, 2022, First and second derivative Hölder estimates for generated Jacobian equations, https://arxiv.org/abs/2204.07917v1

Rankin C, 2022, Regularity and uniqueness results for generated Jacobian equations, https://doi.org/10.25911/8KG0-Q497

Rankin C, 2021, Strict $g$-convexity for generated Jacobian equations with applications to global regularity, https://arxiv.org/abs/2111.00448v1

Rankin C, 2020, Strict convexity and $C^1$ regularity of solutions to generated Jacobian equations in dimension two, https://doi.org/10.1007/s00526-021-02093-4

Rankin C, 2020, Distinct solutions to generated Jacobian equations cannot intersect, https://doi.org/10.1017/S0004972720000052

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