cvgmt: Michael Goldman

Calculus of Variations and Geometric Measure Theory

Michael Goldman

[goldman]

Senior Researcher, CNRS, LAMA, Université Paris-Créteil

Email: michael.goldman AT cnrs.fr

Home-page: https://goldmanm.pages.math.cnrs.fr/pageweb/

arxiv id: goldman_m_1

orcid id: 0000-0002-9523-9721

Available papers (68):

A. Cosenza - M. Goldman - M. Koser (SIMA)
New dimensional bounds for a branched transport problem (2026)
M. Goldman - M. Novaga - A. Prade (Submitted Paper)
Young's law for a nonlocal isoperimetric model of charged capillarity droplets (2026)
A. Cosenza - M. Goldman - F. Otto (preprint)
Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models (2026)
M. Goldman - M. Novaga - B. Ruffini (Accepted Paper: Comm. Anal. Geom.)
A charged liquid drop model with Willmore energy (2026)
V. Armegioiu - M. Goldman - F. Grotto - D. Trevisan (Submitted Paper)
Exact Asymptotics for the 2D Euclidean Random Matching Problem (2026)
S. Coste - M. Goldman (Preprint)
The Wasserstein cost of importance sampling (2026)
A. Cosenza - M. Goldman - A. Zilio (Accepted Paper: Interfaces and Free Boundaries)
A $Γ$-convergence result for 2D type-I superconductors (2025)
M. Fathi - M. Goldman - D. Tsodyks (Submitted Paper)
Quantitative rigidity of the Wasserstein contraction under convolution (2025)
M. Goldman - M. Novaga - B. Ruffini (J. Eur. Math. Soc.)
Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion (2025)
J. F. Babadjian - B. Buet - M. Goldman (Accepted Paper: Communications of the AMS)
Curvature penalization of strongly anisotropic interfaces models and their phase-field approximation (2025)
L. De Luca - M. Goldman - M. Ponsiglione (Accepted Paper: Advances in Calc. Var.)
Dynamics of screened particles towards equi-spaced ground states (2025)
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)
E. Caglioti - M. Goldman - F. Pieroni - D. Trevisan (Accepted Paper: Annales Scientifiques de la Faculte de Toulouse)
Subadditivity and optimal matching of unbounded samples (2024)
M. Huesmann - M. Goldman - D. Trevisan (Accepted Paper: CPAM)
Asymptotics for Random Quadratic Transportation Costs (2024)
G. De Philippis - M. Goldman - B. Ruffini (American Journal of Mathematics)
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors (2023)
M. Goldman - M. Huesmann - F. Otto (Proceedings: Abel Symposium)
Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem (2023)
M. Goldman - D. Trevisan (Accepted Paper: Annali della SNS)
On the concave one-dimensional random assignment problem and Young integration theory (2023)
M. Goldman - B. Merlet (Accepted Paper: Annales de l'IHP)
Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure (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 - 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 - B. Merlet (Accepted Paper: Transactions of the AMS)
Tensor rectifiable $G$-flat chains (2022)
M. Goldman - B. Merlet (Unpublished note)
A deformation theorem for tensor flat chains and applications (complement to ``Tensor rectifiable $G$-flat chains'') (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 - 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 - 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: 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. Merlet - V. Millot (Accepted Paper: Ann. Inst. Fourier)
A Ginzburg-Landau model with topologically induced free discontinuities (2017)
M. Goldman - B. Ruffini (Geometric flows)
Equilibrium shapes of charged liquid droplets and related problems: (mostly) a review (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:

6 sep 2027 - 9 sep 2027: Calculus of Variations and Applied Analysis in Linz
19 jul 2027 - 23 jul 2027: Summer school on Calculus of Variations
7 jun 2026 - 12 jun 2026: Calculus of Variations in Materials Science
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:

29 jun 2026 - 3 jul 2026: Pattern Formation, Energy Landscapes, and Scaling Laws - celebrating Felix Otto as a mentor, collaborator, and mathematician
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