Mircea Petrache

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All published works

Action	Title	Year	Authors
+ PDF Chat	Symmetry-Based Structured Matrices for Efficient Approximately Equivariant Networks	2024	Ashwin Samudre Mircea Petrache B. Nord Shubhendu Trivedi
+ PDF Chat	Clearing-out of dipoles for minimisers of 2-dimensional discrete energies with topological singularities	2024	Adriana Garroni Mircea Petrache Emanuele Spadaro
+ PDF Chat	Long Tail Image Generation Through Feature Space Augmentation and Iterated Learning	2024	Rafael Elberg Denis Parra Mircea Petrache
+ PDF Chat	Fisher Flow Matching for Generative Modeling over Discrete Data	2024	Oscar Davis Samuel Kessler Mircea Petrache İsmail İlkan Ceylan Avishek Joey Bose
+ PDF Chat	Long Tail Image Generation Through Feature Space Augmentation and Iterated Learning	2024	Rafael Elberg Denis Parra Mircea Petrache
+ PDF Chat	A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams	2024	Rolando Kindelan Mircea Petrache Mauricio Cerda Nancy Hitschfeld
+ PDF Chat	A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams	2024	Rolando Kindelan Mircea Petrache Mauricio Cerda Nancy Hitschfeld
+ PDF Chat	Position Paper: Generalized grammar rules and structure-based generalization beyond classical equivariance for lexical tasks and transduction	2024	Mircea Petrache Shubhendu Trivedi
+	Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost	2024	Augusto Gerolin Mircea Petrache Adolfo Vargas-Jiménez
+	Three iterations of $(d-1)$-WL test distinguish non isometric clouds of $d$-dimensional points	2023	Valentino Delle Rose Alexander Kozachinskiy Cristóbal Rojas Mircea Petrache Pablo Barceló
+	Approximation-Generalization Trade-offs under (Approximate) Group Equivariance	2023	Mircea Petrache Shubhendu Trivedi
+	Effective recovery of Fourier spectra and spectral approximation by finite groups	2023	Mircea Petrache Rodolfo Viera
+	Optimal Quantization with Branched Optimal Transport distances	2023	Paul Pegon Mircea Petrache
+	The search for the lost attractor	2023	Mario Pasquato Syphax Haddad Pierfrancesco Di Cintio Alexandre Adam Pablo Lemos Noé Dia Mircea Petrache Ugo N Di Carlo Alessandro A. Trani Laurence Perreault-Levasseur
+ PDF Chat	Almost Sure Recovery in Quasi-periodic Structures	2022	Mircea Petrache Rodolfo Viera
+ PDF Chat	Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings	2022	Giacomo Del Nin Mircea Petrache
+	Corrigendum to “Asymptotics for the Unconstrained Polarization (Chebyshev) Problem”	2022	Douglas P. Hardin Mircea Petrache Edward B. Saff
+ PDF Chat	Crystallization to the Square Lattice for a Two-Body Potential	2021	Laurent Bétermin Lucia De Luca Mircea Petrache
+ PDF Chat	Classification of uniformly distributed measures of dimension $1$ in general codimension	2021	Paul Laurain Mircea Petrache
+	Almost sure recovery in quasi-periodic structures	2021	Mircea Petrache Rodolfo Viera
+	Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings	2021	Giacomo Del Nin Mircea Petrache
+ PDF Chat	Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics	2020	Douglas P. Hardin Mircea Petrache Edward B. Saff
+	Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture	2020	Mircea Petrache Stéphane Serfaty
+ PDF Chat	Cyclically monotone non-optimal <i>N</i>-marginal transport plans and Smirnov-type decompositions for <i>N</i>-flows	2020	Mircea Petrache
+	Sharp discrete isoperimetric inequalities in periodic graphs via discrete PDE and Semidiscrete Optimal Transport	2020	Mircea Petrache M. Gómez
+	Crystallization for Coulomb and Riesz Interactions as a Consequence of the Cohn-Kumar Conjecture	2019	Mircea Petrache Stéphane Serfaty
+	Crystallization to the square lattice for a two-body potential	2019	Laurent Bétermin Lucia De Luca Mircea Petrache
+	Optimal and non-optimal lattices for non-completely monotone interaction potentials	2019	Laurent Bétermin Mircea Petrache
+	Cyclically monotone non-optimal $N$-marginal transport plans and Smirnov-type decompositions for $N$-flows	2019	Mircea Petrache
+	Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics	2019	Douglas P. Hardin Mircea Petrache Edward B. Saff
+	Next-order asymptotic expansion for N-marginal optimal transport with Coulomb and Riesz costs	2019	Codina Cotar Mircea Petrache
+	Crystallization for Coulomb and Riesz Interactions as a Consequence of the Cohn-Kumar Conjecture	2019	Mircea Petrache Stéphane Serfaty
+	Crystallization to the square lattice for a two-body potential	2019	Laurent Bétermin Lucia De Luca Mircea Petrache
+	Classification of uniformly distributed measures of dimension $1$ in general codimension	2019	Paul Laurain Mircea Petrache
+	Cyclically monotone non-optimal $N$-marginal transport plans and Smirnov-type decompositions for $N$-flows	2019	Mircea Petrache
+	Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics	2019	Douglas P. Hardin Mircea Petrache Edward B. Saff
+	The Space of Weak Connections in High Dimensions	2018	Mircea Petrache Tristan Rivière
+ PDF Chat	Coefficient Groups Inducing Nonbranched Optimal Transport	2018	Mircea Petrache Roger Züst
+ PDF Chat	The Navier-slip thin-film equation for 3D fluid films: Existence and uniqueness	2018	Manuel V. Gnann Mircea Petrache
+	The Space of Weak Connections in High Dimensions	2018	Mircea Petrache Tristan Rivière
+	Optimal and non-optimal lattices for non-completely monotone interaction potentials	2018	Laurent Bétermin Mircea Petrache
+	The Navier-slip thin-film equation in three dimensions: existence and uniqueness	2017	Manuel V. Gnann Mircea Petrache
+	Equidistribution of Jellium Energy for Coulomb and Riesz Interactions	2017	Mircea Petrache Simona Rota Nodari
+	Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Riesz potentials	2017	Codina Cotar Mircea Petrache
+	Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Coulomb and Riesz potentials	2017	Codina Cotar Mircea Petrache
+	Coefficient groups inducing nonbranched optimal transport	2017	Mircea Petrache Roger Züst
+ PDF Chat	Dimension reduction techniques for the minimization of theta functions on lattices	2017	Laurent Bétermin Mircea Petrache
+	The resolution of the Yang–Mills Plateau problem in super-critical dimensions	2017	Mircea Petrache Tristan Rivière
+	Next-order asymptotic expansion for N-marginal optimal transport with Coulomb and Riesz costs	2017	Codina Cotar Mircea Petrache
+	Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Coulomb and Riesz potentials	2017	Codina Cotar Mircea Petrache
+	Next-order asymptotic expansion for N-marginal optimal transport with Coulomb and Riesz costs	2017	Codina Cotar Mircea Petrache
+	Coefficient groups inducing nonbranched optimal transport	2017	Mircea Petrache Roger Züst
+	Equidistribution of jellium energy for Coulomb and Riesz Interactions	2016	Mircea Petrache Simona Rota Nodari
+ PDF Chat	Controlled Singular Extension of Critical Trace Sobolev Maps from Spheres to Compact Manifolds	2016	Mircea Petrache Jean Van Schaftingen
+	Equidistribution of jellium energy for Coulomb and Riesz Interactions	2016	Mircea Petrache Simona Rota Nodari
+ PDF Chat	Interior partial regularity for minimal $L^p$-vector fields with integer fluxes	2015	Mircea Petrache
+ PDF Chat	NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS	2015	Mircea Petrache Sylvia Serfaty
+	Decorrelation as an avatar of convexity	2015	Mircea Petrache
+ PDF Chat	Global gauges and global extensions in optimal spaces	2014	Mircea Petrache Tristan Rivière
+	A singular radial connection over $$\mathbb B^5$$ B 5 minimizing the Yang-Mills energy	2014	Mircea Petrache
+	Matchings in metric spaces, the dual problem and calibrations modulo 2	2014	Mircea Petrache Roger Züst
+	Matchings in metric spaces, the dual problem and calibrations modulo 2	2014	Mircea Petrache Roger Züst
+	Notes on a slice distance for singular<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-bundles	2014	Mircea Petrache
+ PDF Chat	A Continuous Model of Transportation Revisited	2014	Lorenzo Brasco Mircea Petrache
+	Matchings in metric spaces, the dual problem and calibrations modulo 2	2014	Mircea Petrache Roger Züst
+	The resolution of the Yang-Mills Plateau problem in super-critical dimensions	2013	Mircea Petrache Tristan Rivière
+	A singular radial connection over B^5 minimizing the Yang-Mills energy	2013	Mircea Petrache
+	The resolution of the Yang-Mills Plateau problem in super-critical dimensions	2013	Mircea Petrache Tristan Rivière
+ PDF Chat	An integrability result for Lp-vector fields in the plane	2012	Mircea Petrache
+	Notes on a slice distance for singular Lp-bundles	2012	Mircea Petrache
+	Interior partial regularity for minimal Lp-vectorfields with integer fluxes	2012	Mircea Petrache
+	Notes on a slice distance for singular Lp-bundles	2012	Mircea Petrache
+	Interior partial regularity for minimal Lp-vectorfields with integer fluxes	2012	Mircea Petrache
+ PDF Chat	Weak Closure of Singular Abelian L p -Bundles in 3 Dimensions	2011	Mircea Petrache Tristan Rivière
+	An integrability result for $L^p$-vectorfields in the plane	2010	Mircea Petrache
+	Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions	2010	Mircea Petrache Tristan Rivière
+ PDF Chat	Existence of solutions to a higher dimensional mean-field equation on manifolds	2010	Luca Martinazzi Mircea Petrache
+ PDF Chat	Asymptotics and Quantization for a Mean-Field Equation of Higher Order	2010	Luca Martinazzi Mircea Petrache
+	An integrability result for $L^p$-vectorfields in the plane	2010	Mircea Petrache
+	Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions	2010	Mircea Petrache Tristan Rivière

Common Coauthors

Coauthor	Papers Together
Tristan Rivière	9
Codina Cotar	6
Laurent Bétermin	6
Roger Züst	6
Douglas P. Hardin	4
Edward B. Saff	4
Shubhendu Trivedi	3
Stéphane Serfaty	3
Simona Rota Nodari	3
Rodolfo Viera	3
Rafael Elberg	2
Manuel V. Gnann	2
Rolando Kindelan	2
Lucia De Luca	2
Denis Parra	2
Mauricio Cerda	2
Luca Martinazzi	2
Nancy Hitschfeld	2
Giacomo Del Nin	2
Paul Laurain	2
Mario Pasquato	1
Yashar Hezaveh	1
Ugo N Di Carlo	1
Noé Dia	1
Avishek Joey Bose	1
Lucia De Luca	1
Oscar Davis	1
Syphax Haddad	1
Sylvia Serfaty	1
Cristóbal Rojas	1
Ashwin Samudre	1
İsmail İlkan Ceylan	1
Lorenzo Brasco	1
Jean Van Schaftingen	1
Pablo Lemos	1
Alessandro A. Trani	1
Augusto Gerolin	1
B. Nord	1
M. Gómez	1
Valentino Delle Rose	1
Emanuele Spadaro	1
Alexandre Adam	1
Paul Pegon	1
Pablo Barceló	1
Samuel Kessler	1
Laurence Perreault-Levasseur	1
Adolfo Vargas-Jiménez	1
Adriana Garroni	1
Alexander Kozachinskiy	1
Pierfrancesco Di Cintio	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS	2015	Mircea Petrache Sylvia Serfaty	12
+	Connecting topological Hopf singularities	2003	Robert Hardt Tristan Rivière	11
+ PDF Chat	The approximation problem for Sobolev maps between two manifolds	1991	Fabrice Béthuel	10
+ PDF Chat	Renormalized Energy and Asymptotic Expansion of Optimal Logarithmic Energy on the Sphere	2016	Laurent Bétermin Étienne Sandier	10
+	Harmonic maps with defects	1986	Ha�m Brezis Jean‐Michel Coron Élliott H. Lieb	9
+ PDF Chat	From the Ginzburg-Landau Model to Vortex Lattice Problems	2012	Étienne Sandier Sylvia Serfaty	9
+ PDF Chat	The Chern classes of Sobolev connections	1985	Karen Uhlenbeck	9
+ PDF Chat	Currents in metric spaces	2000	Luigi Ambrosio Bernd Kirchheim	9
+ PDF Chat	The crystallization conjecture: a review	2015	Xavier Blanc Mathieu Lewin	9
+ PDF Chat	Gauge Theory and Calibrated Geometry, I	2000	Gang Tian	8
+	A characterization of maps in H1(B3, S2) which can be approximated by smooth maps	1990	Fabrice Béthuel	8
+ PDF Chat	Higher‐Dimensional Coulomb Gases and Renormalized Energy Functionals	2015	Nicolas Rougerie Sylvia Serfaty	8
+ PDF Chat	Topology of sobolev mappings, II	2003	Fengbo Hang Fanghua Lin	8
+ PDF Chat	Coulomb Gases and Ginzburg–Landau Vortices	2015	Sylvia Serfaty	7
+ PDF Chat	The sphere packing problem in dimension $24$	2017	Henry Cohn Abhinav Kumar Stephen D. Miller Danylo Radchenko Maryna Viazovska	7
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	7
+	Geometric Measure Theory	1988	Herbert Fédérer	7
+	A Cohomological Criterion for Density of Smooth Maps in Sobolev Spaces Between Two Manifolds	1991	Fabrice Béthuel Jean‐Michel Coron F. Demengel Frédéric Hélein	6
+	Interior partial regularity for minimal Lp-vectorfields with integer fluxes	2012	Mircea Petrache	6
+	Mathematical problems for the next century	1998	Steve Smale	6
+ PDF Chat	Next Order Energy Asymptotics for Riesz Potentials on Flat Tori	2016	Douglas P. Hardin Edward B. Saff Brian Simanek Yujian Su	6
+	Universally optimal distribution of points on spheres	2006	Henry Cohn Abhinav Kumar	6
+	Singular bundles with bounded L²-curvatures	2008	Thiemo M. Kessel	6
+	The ground state for soft disks	1981	Charles Radin	6
+ PDF Chat	Renormalized Energy Equidistribution and Local Charge Balance in 2D Coulomb Systems	2014	Simona Rota Nodari Sylvia Serfaty	6
+	Equidistribution of Jellium Energy for Coulomb and Riesz Interactions	2017	Mircea Petrache Simona Rota Nodari	6
+ PDF Chat	Topology of Sobolev Mappings	2001	Fengbo Hang Fanghua Lin	5
+	Energy estimate, energy gap phenomenon, and relaxed energy for Yang-Mills functional	1998	Takeshi Isobe	5
+	Optimal Transport: Old and New	2013	Cédric Villani	5
+ PDF Chat	On a problem of Rankin about the Epstein zeta-function	1959	J. W. S. Cassels	5
+	Connections withL P bounds on curvature	1982	Karen Uhlenbeck	5
+ PDF Chat	Notes on two lemmas concerning the Epstein zeta-function	1964	P. H. Diananda	5
+	The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere	2012	J. Brauchart Douglas P. Hardin E. B. Saff	5
+ PDF Chat	Minimal theta functions	1988	Hugh L. Montgomery	5
+	Notes on a slice distance for singular<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-bundles	2014	Mircea Petrache	5
+	2D Coulomb gases and the renormalized energy	2015	Étienne Sandier Sylvia Serfaty	5
+	On a problem about the Epstein zeta-function	1964	Veikko Ennola	5
+ PDF Chat	Optimal transport with Coulomb cost. Approximation and duality	2015	Luigi De Pascale	5
+ PDF Chat	Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases	2010	Takeshi Isobe	5
+ PDF Chat	Instantons and Four-Manifolds	1984	Daniel S. Freed Karen Uhlenbeck	5
+	Logarithmic Potentials with External Fields	1997	Edward B. Saff Вилмос Тотик	5
+ PDF Chat	1D log gases and the renormalized energy: crystallization at vanishing temperature	2014	Étienne Sandier Sylvia Serfaty	5
+ PDF Chat	A Minimum Problem for the Epstein Zeta-Function	1953	R. A. Rankin	5
+ PDF Chat	Universal optimality of the $E_8$ and Leech lattices and interpolation formulas	2022	Henry Cohn Abhinav Kumar Stephen D. Miller Danylo Radchenko Maryna Viazovska	5
+	Lowest Landau level functional and Bargmann spaces for Bose–Einstein condensates	2006	Amandine Aftalion Xavier Blanc Francis Nier	4
+ PDF Chat	Removable singularities in Yang-Mills fields	1982	Karen Uhlenbeck	4
+	Convergence of minimizers for thep-Dirichlet integral	1993	Stephan Luckhaus	4
+ PDF Chat	Connecting rational homotopy type singularities	2008	Robert Hardt Tristan Rivière	4
+ PDF Chat	An existence theorem for surfaces of constant mean curvature	1969	Henry C. Wente	4
+ PDF Chat	Finite crystallization in the square lattice	2014	Edoardo Mainini Paolo Piovano Ulisse Stefanelli	4