Michael Goldman
[goldman]
Researcher, CNRS, CMAP Polytechnique
Email: michael.goldman AT cnrs.fr
Home-page: http://www.cmap.polytechnique.fr/~michael.goldman/
arxiv id: goldman_m_1
orcid id: 0000-0002-9523-9721
Available papers (62):
[plain text]- A. Cosenza - M. Goldman - A. Zilio (preprint)
A $Γ$-convergence result for 2D type-I superconductors (2025) - L. De Luca - M. Goldman - M. Ponsiglione (Preprint)
Dynamics of screened particles towards equi-spaced ground states (2025) - E. Caglioti - M. Goldman - F. Pieroni - D. Trevisan (Preprint)
Subadditivity and optimal matching of unbounded samples (2024) - M. Goldman - M. Novaga - B. Ruffini (Submitted Paper)
A charged liquid drop model with Willmore energy (2024) - A. Cosenza - M. Goldman - M. Koser (preprint)
New dimensional bounds for a branched transport problem (2024) - M. Huesmann - M. Goldman - D. Trevisan (preprint)
Asymptotics for Random Quadratic Transportation Costs (2024) - M. Goldman - L. Koch (Accepted Paper: Proceedings of the AMS)
Partial regularity for optimal transport with $p$-cost away from fixed points (2024) - J. Candau-Tilh - M. Goldman - B. Merlet (Accepted Paper: Calc. Var. and PDEs)
An exterior optimal transport problem (2024) - M. Goldman - B. Merlet (Revista Matemática Iberoamericana)
Set-decomposition of normal rectifiable $G$-chains via an abstract decomposition principle (2024) - M. Goldman - M. Huesmann - F. Otto (Submitted Paper)
Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem (2023) - M. Goldman - D. Trevisan (preprint)
On the concave one-dimensional random assignment problem and Young integration theory (2023) - M. Goldman - B. Merlet (Submitted Paper)
Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure (2023) - G. De Philippis - M. Goldman - B. Ruffini (Accepted Paper: American Journal of Mathematics)
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors (2023) - M. Goldman - M. Novaga - B. Ruffini (Proc. Amer. Math. Soc.)
Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions (2022) - M. Goldman - B. Merlet (Preprint)
Tensor rectifiable $G$-flat chains (2022) - M. Goldman - B. Merlet (Preprint)
A deformation theorem for tensor flat chains and applications (complement to ``Tensor rectifiable $G$-flat chains'') (2022) - M. Goldman - M. Novaga - B. Ruffini (Accepted Paper: J. Eur. Math. Soc.)
Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion (2022) - M. Goldman - D. Trevisan (Accepted Paper: PTRF)
Optimal transport methods for combinatorial optimization over two random point sets (2022) - M. Goldman - B. Merlet - M. Pegon (Accepted Paper: Arch. Rat. Mech. Anal.)
Uniform $C^{1,\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter (2022) - M. Goldman - M. Huesmann (Accepted Paper: Annals of Probability)
A fluctuation result for the displacement in the optimal matching problem (2021) - J. Candau-Tilh - M. Goldman (Accepted Paper: ESAIM COCV)
Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type (2021) - M. Goldman - B. Merlet - M. Pegon - S. Serfaty (Accepted Paper: Journal de l'Institut Mathématiques de Jussieu)
Compactness and structure of zero-states for unoriented Aviles--Giga functionals (2021) - L. Ambrosio - M. Goldman - D. Trevisan (Accepted Paper: Electronic J. Probability)
On the quadratic random matching problem in two-dimensional domains (2021) - M. Goldman (Accepted Paper: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
An $\varepsilon-$regularity result for optimal transport maps between continuous densities (2020) - M. Goldman - M. Novaga - M. Röger (Proc. Roy. Soc. Edinburgh Sect. A)
Quantitative estimates for bending energies and applications to non-local variational problems (2020) - M. Goldman - B. Merlet (Accepted Paper: Annali della SNS)
Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates (2020) - M. Goldman - D. Trevisan (Accepted Paper: Probability and Mathematical Physics)
Convergence of asymptotic costs for random Euclidean matching problems (2020) - M. Goldman - B. Merlet (Accepted Paper: Rend. Sem. Mat. Torino)
Recent results on non-convex functionals penalizing oblique oscillations (2019) - M. Goldman (Proceedings: Actes du Séminaire Laurent Schwartz)
A variational approach to regularity theory in optimal transportation (2019) - L. De Luca - M. Goldman - M. Strani (Math. Annalen)
A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation (2019) - M. Goldman - M. Huesmann - F. Otto (Accepted Paper: CPAM)
Quantitative linearization results for the Monge-Ampère equation (2019) - M. Goldman - M. Novaga - B. Ruffini (Anal. PDE)
On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint (2018) - M. Goldman (Accepted Paper: Indiana)
Self-similar minimizers of a branched transport functional (2018) - M. Goldman - F. Otto (Accepted Paper: Annales de l'ENS)
A variational proof of partial regularity for optimal transportation maps (2018) - M. Goldman - M. Huesmann - F. Otto (Unpublished paper)
A large-scale regularity theory for the Monge-Ampère equation with rough data and application to the optimal matching problem (2018) - M. Goldman (Ph.D. Thesis)
Pattern formation in variational models with interfacial terms (2018) - M. Goldman - G. De Philippis (Accepted Paper: CAG)
A two-point function approach to connectedness of drops in convex potentials (2018) - M. Goldman - F. Otto (Unpublished paper)
A variational proof of partial regularity for optimal transportation maps between sets (2017) - S. Conti - M. Goldman - F. Otto - S. Serfaty (Accepted Paper: J. Ecole Polytechnique)
A branched transport limit of the Ginzburg-Landau functional (2017) - M. Goldman - B. Ruffini (Geometric flows)
Equilibrium shapes of charged liquid droplets and related problems: (mostly) a review (2017) - M. Goldman - B. Merlet - V. Millot (Accepted Paper: Ann. Inst. Fourier)
A Ginzburg-Landau model with topologically induced free discontinuities (2017) - M. Goldman - E. Runa (Accepted Paper: Calc. Var. and PDE)
On the optimality of stripes in a variational model with non-local interactions (2016) - M. Goldman - M. Josien - F. Otto (Accepted Paper: CPDE)
New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations (2015) - M. Goldman - M. Novaga - B. Ruffini (Arch. Rat. Mech. Anal.)
Existence and stability for a non-local isoperimetric model of charged liquid drops (2015) - A. Chambolle - M. Goldman - M. Novaga (Adv. Calc. Var.)
Fine properties of the subdifferential for a class of one-homogeneous functionals (2015) - M. Goldman - B. Merlet (Accepted: SIAM J. Math. Analysis)
Phase segregation for binary mixtures of Bose-Einstein Condensates (2015) - M. Goldman - J. Royo-Letelier (Accepted Paper: ESAIM COCV)
Sharp interface limit for two components Bose-Einstein condensates (2014) - P. Bella - M. Goldman - B. Zwicknagl (Accepted Paper: ARMA)
Study of island formation in epitaxially strained films on unbounded domains (2014) - A. Chambolle - M. Goldman - M. Novaga (J. Geometric Analysis)
Plane-like minimizers and differentiability of the stable norm (2014) - G. Bellettini - A. Chambolle - M. Goldman (Accepted Paper: M3AS)
The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension (2013) - M. Goldman - B. Zwicknagl (Accepted paper: SIAM J. Math. Analysis)
Scaling law and reduced models for epitaxially strained crystalline films (2013) - P. Bella - M. Goldman (Accepted: Proc. Roy. Soc. Edimburgh)
Nucleation barriers at corners for a cubic-to-tetragonal phase transformation (2013) - A. Chambolle - M. Goldman - M. Novaga (J. Math. Pures et Appl.)
Representation, relaxation and convexity for variational problems in Wiener spaces (2013) - A. Chambolle - M. Goldman - M. Novaga (in Geometric Partial Differential Equations, Edizioni della Normale, CRM Series)
Existence and qualitative properties of isoperimetric sets in periodic media (2013) - M. Goldman - M. Novaga (Calc. Var. and PDE)
Volume-constrained minimizers for the prescribed curvature problem in periodic media (2012) - M. Goldman - M. Novaga (Annales de l'IHP - Analyse Non Lineaire)
Approximation and relaxation of perimeter in the Wiener space (2012) - M. Goldman (SIAM Journal of Imaging Science)
Continuous Primal-Dual methods for Image Processing (2011) - M. Goldman (Accepted Paper: Rendiconti del Seminario Matematico della Università di Padova)
A geometric approach for convexity in some variational problem in the Gauss space (2011) - M. Goldman (Phd Thesis)
Quelques applications des fonctions a variation bornee en dimension finie et infinie (2011) - M. Goldman (Degree Thesis)
Etude d'une methode de recherche de points selle pour certains problemes de reconstruction d'image (2009) - M. Goldman (Degree Thesis)
Introduction to the Study of the Signature Function (2007) - M. Goldman (Degree Thesis)
Minimisation singuliere pour la restauration d'images (2006)
Seminars:
- 31 may 2017: An exact self-similar solution to a branched transport problem
- 16 mar 2016: Phase segregation for binary mixtures of Bose-Einstein Condensates
- 16 jun 2014: On isoperimetric problems with density arising from the study of Bose-Einstein condensates
- 4 may 2011: About existence of surfaces with prescribed mean curvature
Speaker:
- 8 sep 2025 - 12 sep 2025: Conference: Frontiers in Calculus of Variations and Applied Analysis
- 7 jul 2025 - 11 jul 2025: Geometric Methods in Calculus of Variations
- 17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
- 6 sep 2022 - 7 sep 2022: Optimal Transport and Uncertanity - second edition
- 4 jul 2022 - 6 jul 2022: Calculus of Variations in Lille - 3rd edition
- 6 jun 2022 - 7 jun 2022: Nonlinear meeting in Bologna
- 28 oct 2019 - 31 oct 2019: Calculus of Variations and Applications in Trani
- 8 apr 2019 - 9 apr 2019: Analysis and Applications. Contributions from young researchers
- 26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis
- 24 apr 2017 - 26 apr 2017: Transport problems in Zurich
- 25 oct 2016 - 28 oct 2016: Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries
- 31 jul 2014 - 1 aug 2014: Trends in Non-Linear Analysis
- 16 jun 2014 - 20 jun 2014: Isoperimetric Problems Between Analysis and Geometry
Organizer:
- 19 jun 2023 - 21 jun 2023: Calculus of Variations and Applications
- 6 sep 2021 - 10 sep 2021: Variational methods and applications
- 25 jun 2018 - 27 jun 2018: Calculus of Variations at Paris-Diderot