M. Goldman: Minimisation singuliere pour la restauration d'images (Degree Thesis) 2006 M. Goldman: Introduction to the Study of the Signature Function (Degree Thesis) 2007 M. Goldman: Etude d'une methode de recherche de points selle pour certains problemes de reconstruction d'image (Degree Thesis) 2009 M. Goldman: Continuous Primal-Dual methods for Image Processing SIAM Journal of Imaging Science Vol. 4, N. 1, p. 20, 2011 M. Goldman: A geometric approach for convexity in some variational problem in the Gauss space Rendiconti del Seminario Matematico della Università di Padova (Accepted Paper) 2011 M. Goldman: Quelques applications des fonctions a variation bornee en dimension finie et infinie (Phd Thesis) 2011 M. Goldman, M. Novaga: Volume-constrained minimizers for the prescribed curvature problem in periodic media Calc. Var. and PDE Vol. 44, N. 3-4, p. 297-318, 2012 M. Goldman, M. Novaga: Approximation and relaxation of perimeter in the Wiener space Annales de l'IHP - Analyse Non Lineaire Vol. 29, p. 525-544, 2012 G. Bellettini, A. Chambolle, M. Goldman: The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension M3AS (Accepted Paper) 2013 M. Goldman, B. Zwicknagl: Scaling law and reduced models for epitaxially strained crystalline films SIAM J. Math. Analysis (Accepted paper) 2013 P. Bella, M. Goldman: Nucleation barriers at corners for a cubic-to-tetragonal phase transformation Proc. Roy. Soc. Edimburgh (Accepted) 2013 A. Chambolle, M. Goldman, M. Novaga: Representation, relaxation and convexity for variational problems in Wiener spaces J. Math. Pures et Appl. Vol. 99, N. 4, p. 419-435, 2013 A. Chambolle, M. Goldman, M. Novaga: Existence and qualitative properties of isoperimetric sets in periodic media in Geometric Partial Differential Equations, Edizioni della Normale, CRM Series Vol. 15, p. 93-104, 2013 M. Goldman, J. Royo-Letelier: Sharp interface limit for two components Bose-Einstein condensates ESAIM COCV (Accepted Paper) 2014 P. Bella, M. Goldman, B. Zwicknagl: Study of island formation in epitaxially strained films on unbounded domains ARMA (Accepted Paper) 2014 A. Chambolle, M. Goldman, M. Novaga: Plane-like minimizers and differentiability of the stable norm J. Geometric Analysis Vol. 24, N. 3, p. 1447-1489, 2014 M. Goldman, M. Josien, F. Otto: New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations CPDE (Accepted Paper) 2015 M. Goldman, M. Novaga, B. Ruffini: Existence and stability for a non-local isoperimetric model of charged liquid drops Arch. Rat. Mech. Anal. Vol. 217, N. 1, p. 1-36, 2015 A. Chambolle, M. Goldman, M. Novaga: Fine properties of the subdifferential for a class of one-homogeneous functionals Adv. Calc. Var. Vol. 8, N. 1, p. 31-42, 2015 M. Goldman, B. Merlet: Phase segregation for binary mixtures of Bose-Einstein Condensates SIAM J. Math. Analysis (Accepted) 2015 M. Goldman, E. Runa: On the optimality of stripes in a variational model with non-local interactions Calc. Var. and PDE (Accepted Paper) 2016 M. Goldman, F. Otto: A variational proof of partial regularity for optimal transportation maps between sets (Unpublished paper) 2017 S. Conti, M. Goldman, F. Otto, S. Serfaty: A branched transport limit of the Ginzburg-Landau functional J. Ecole Polytechnique (Accepted Paper) 2017 M. Goldman, B. Ruffini: Equilibrium shapes of charged liquid droplets and related problems: (mostly) a review Geometric flows 2017 M. Goldman, B. Merlet, V. Millot: A Ginzburg-Landau model with topologically induced free discontinuities Ann. Inst. Fourier (Accepted Paper) 2017 M. Goldman, M. Novaga, B. Ruffini: On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint Anal. PDE Vol. 11, N. 5, p. 11131142, 2018 M. Goldman: Self-similar minimizers of a branched transport functional Indiana (Accepted Paper) 2018 M. Goldman, F. Otto: A variational proof of partial regularity for optimal transportation maps Annales de l'ENS (Accepted Paper) 2018 M. Goldman, M. Huesmann, F. Otto: A large-scale regularity theory for the Monge-Ampère equation with rough data and application to the optimal matching problem (Unpublished paper) 2018 M. Goldman: Pattern formation in variational models with interfacial terms (Ph.D. Thesis) 2018 G. De Philippis, M. Goldman: A two-point function approach to connectedness of drops in convex potentials CAG (Accepted Paper) 2018 M. Goldman, B. Merlet: Recent results on non-convex functionals penalizing oblique oscillations Rend. Sem. Mat. Torino (Accepted Paper) 2019 M. Goldman: A variational approach to regularity theory in optimal transportation Actes du Séminaire Laurent Schwartz (Proceedings) N. 13, p. 14, 2019 L. De Luca, M. Goldman, M. Strani: A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation Math. Annalen Vol. 374, N. 3-4, p. 2041-2081, 2019 M. Goldman, M. Huesmann, F. Otto: Quantitative linearization results for the Monge-Ampère equation CPAM (Accepted Paper) 2019 M. Goldman: An $\varepsilon-$regularity result for optimal transport maps between continuous densities Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (Accepted Paper) 2020 M. Goldman, M. Novaga, M. Röger: Quantitative estimates for bending energies and applications to non-local variational problems Proc. Roy. Soc. Edinburgh Sect. A Vol. 150, N. 1, p. 131-169, 2020 M. Goldman, B. Merlet: Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates Annali della SNS (Accepted Paper) 2020 M. Goldman, D. Trevisan: Convergence of asymptotic costs for random Euclidean matching problems Probability and Mathematical Physics (Accepted Paper) 2020 M. Goldman, M. Huesmann: A fluctuation result for the displacement in the optimal matching problem Annals of Probability (Accepted Paper) 2021 J. Candau-Tilh, M. Goldman: Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type ESAIM COCV (Accepted Paper) 2021 M. Goldman, B. Merlet, M. Pegon, S. Serfaty: Compactness and structure of zero-states for unoriented Aviles--Giga functionals Journal de l'Institut Mathématiques de Jussieu (Accepted Paper) 2021 L. Ambrosio, M. Goldman, D. Trevisan: On the quadratic random matching problem in two-dimensional domains Electronic J. Probability (Accepted Paper) 2021 M. Goldman, M. Novaga, B. Ruffini: Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions Proc. Amer. Math. Soc. Vol. 150, N. 3, p. 1153-1165, 2022 M. Goldman, B. Merlet, M. Pegon: Uniform $C^{1,\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter (Submitted Paper) 2022 M. Goldman, B. Merlet: Set-decomposition of normal rectifiable $G$-chains via an abstract decomposition principle (Preprint) 2022 M. Goldman, B. Merlet: Tensor rectifiable $G$-flat chains (Preprint) 2022 M. Goldman, B. Merlet: A deformation theorem for tensor flat chains and applications (complement to ``Tensor rectifiable $G$-flat chains'') (Preprint) 2022 M. Goldman, M. Novaga, B. Ruffini: Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion J. Eur. Math. Soc. (Accepted Paper) 2022 M. Goldman, D. Trevisan: Optimal transport methods for combinatorial optimization over two random point sets PTRF (Accepted Paper) 2022 M. Goldman, M. Huesmann, F. Otto: Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem (Submitted Paper) 2023 G. De Philippis, M. Goldman, B. Ruffini: From energy bounds to dimensional estimates in a branched transport model for type-I superconductors (Submitted Paper) 2023 M. Goldman, D. Trevisan: On the concave one-dimensional random assignment problem and Young integration theory (preprint) 2023 J. Candau-Tilh, M. Goldman, B. Merlet: An exterior optimal transport problem (Preprint) 2023 M. Goldman, B. Merlet: Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure (Submitted Paper) 2023