Personal profile
Research interests
- PDEs
- Geometric Measure Theory
- Image Processing
- Calculus of Variations
- Homogenization
- Moving Interfaces
- Optimal Transportation
- Gamma Convergence
- Material Sciences
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Collaborations and top research areas from the last five years
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Almost Sharp Rates of Convergence for the Average Cost and Displacement in the Optimal Matching Problem
Goldman, M., Huesmann, M. & Otto, F., 1 Jan 2025, Partial Differential Equations: Waves, Nonlinearities and Nonlocalities - The Abel Symposium 2023. Ehrnström, M., Holden, H. & Jakobsen, E. R. (eds.). Springer Science and Business Media Deutschland GmbH, p. 93-109 17 p. (Abel Symposia; vol. 18 ABEL).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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An exterior optimal transport problem
Candau-Tilh, J., Goldman, M. & Merlet, B., 1 Mar 2025, In: Calculus of Variations and Partial Differential Equations. 64, 2, 45.Research output: Contribution to journal › Article › peer-review
Open Access -
PARTIAL REGULARITY FOR OPTIMAL TRANSPORT WITH p-COST AWAY FROM FIXED POINTS
Goldman, M. & Koch, L., 1 Sept 2025, In: Proceedings of the American Mathematical Society. 153, 9, p. 3959-3970 12 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion
Goldman, M., Novaga, M. & Ruffini, B., 1 Aug 2025, In: Journal of the European Mathematical Society. 27, 10, p. 4159-4199 41 p.Research output: Contribution to journal › Article › peer-review
Open Access -
TENSOR RECTIFIABLE G-FLAT CHAINS
Goldman, M. & Merlet, B., 1 Jul 2025, In: Transactions of the American Mathematical Society. 378, 7, p. 4807-4864 58 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Optimal transport methods for combinatorial optimization over two random point sets
Goldman, M. & Trevisan, D., 1 Apr 2024, In: Probability Theory and Related Fields. 188, 3-4, p. 1315-1384 70 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Set-decomposition of normal rectifiable G-chains via an abstract decomposition principle
Goldman, M. & Merlet, B., 1 Jan 2024, In: Revista Matematica Iberoamericana. 40, 6, p. 2073-2094 22 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Uniform C1,α-Regularity for Almost-Minimizers of Some Nonlocal Perturbations of the Perimeter
Goldman, M., Merlet, B. & Pegon, M., 1 Dec 2024, In: Archive for Rational Mechanics and Analysis. 248, 6, 102.Research output: Contribution to journal › Article › peer-review
Open Access -
COMPACTNESS AND STRUCTURE OF ZERO-STATES FOR UNORIENTED AVILES-GIGA FUNCTIONALS
Goldman, M., Merlet, B., Pegon, M. & Serfaty, S., 10 Mar 2023, In: Journal of the Institute of Mathematics of Jussieu. 9, 4Research output: Contribution to journal › Article › peer-review
Open Access -
A FLUCTUATION RESULT FOR THE DISPLACEMENT IN THE OPTIMAL MATCHING PROBLEM
Goldman, M. & Huesmann, M., 1 Jul 2022, In: Annals of Probability. 50, 4, p. 1446-1477 32 p.Research output: Contribution to journal › Article › peer-review