Mircea Petrache

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Laurent BéterminUniversité Claude Bernard Lyon 1, Institut Camille JordanVerified email at math.univ-lyon1.fr
Sylvia SerfatyCourant Institute of Mathematical SciencesVerified email at cims.nyu.edu
Shubhendu TrivediMassachusetts Institute of TechnologyVerified email at csail.mit.edu
Manuel V. GnannAssistant Professor, Delft University of TechnologyVerified email at tudelft.nl
Luca MartinazziSapienza University of RomeVerified email at uniroma1.it
Lorenzo BrascoUniversità degli Studi di FerraraVerified email at unife.it
Simona Rota NodariUniversité Côte d'AzurVerified email at univ-cotedazur.fr
Lucia De LucaRicercatore, Istituto per le Applicazioni del Calcolo, IAC-CNRVerified email at cnr.it
E. B. SaffDistinguished Professor of Mathematics, Vanderbilt UniversityVerified email at vanderbilt.edu
Doug HardinProfessor of Mathematics and Biomedical Informatics, Vanderbilt UniversityVerified email at vanderbilt.edu
Jean Van SchaftingenUCLouvain (Université catholique de Louvain)Verified email at uclouvain.be
Alexander KozachinskiyPostdoc, CENIA ChileVerified email at cenia.cl
Cristobal RojasInstituto de Ingeniería Matemática y Computacional, Pontificia Universidad Católica de ChileVerified email at mat.uc.cl
Pablo BarcelóInstitute for Mathematical and Computational Engineering, PUC Chile & IMFD Chile & CENIA ChileVerified email at uc.cl
Rodolfo VieraDepartamento de Matemáticas, Universidad de La SerenaVerified email at userena.cl
Giacomo Del NinMax Planck Institute, LeipzigVerified email at mis.mpg.de

Mircea Petrache

PUC Chile

Verified email at mat.uc.cl - Homepage

Deep Learning Point Configurations Calculus of Variations Geometric Analysis Mathematical Physics


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Next order asymptotics and renormalized energy for Riesz interactions M Petrache, S Serfaty Journal of the Institute of Mathematics of Jussieu 16 (3), 501-569, 2017	98	2017
Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture M Petrache, S Serfaty Proceedings of the American Mathematical Society 148 (7), 3047-3057, 2020	38	2020
Dimension reduction techniques for the minimization of theta functions on lattices L Bétermin, M Petrache Journal of Mathematical Physics 58 (7), 2017	31	2017
Optimal and non-optimal lattices for non-completely monotone interaction potentials L Bétermin, M Petrache Analysis and Mathematical Physics 9 (4), 2033-2073, 2019	26	2019
Equidistribution of jellium energy for Coulomb and Riesz interactions M Petrache, S Rota Nodari Constructive Approximation 47, 163-210, 2018	26	2018
Equality of the jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials C Cotar, M Petrache arXiv preprint arXiv:1707.07664, 2017	26	2017
The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness MV Gnann, M Petrache Journal of Differential Equations 265 (11), 5832-5958, 2018	23	2018
Crystallization to the square lattice for a two-body potential L Bétermin, L De Luca, M Petrache Archive for Rational Mechanics and Analysis 240, 987-1053, 2021	22	2021
Asymptotics and quantization for a mean-field equation of higher order L Martinazzi, M Petrache Communications in Partial Differential Equations 35 (3), 443-464, 2010	21	2010
Next-order asymptotic expansion for N-marginal optimal transport with Coulomb and Riesz costs C Cotar, M Petrache Advances in Mathematics 344, 137-233, 2019	20	2019
The resolution of the Yang–Mills Plateau problem in super-critical dimensions M Petrache, T Rivière Advances in Mathematics 316, 469-540, 2017	19*	2017
A continuous model of transportation revisited L Braso, M Petrahe Journal of mathematical sciences 196, 119-137, 2014	19	2014
Approximation-generalization trade-offs under (approximate) group equivariance M Petrache, S Trivedi Advances in Neural Information Processing Systems 36, 61936-61959, 2023	18	2023
Global gauges and global extensions in optimal spaces M Petrache, T Riviere Analysis & PDE 7 (8), 1851-1899, 2015	16	2015
Weak Closure of Singular Abelian L ^p-Bundles in 3 Dimensions M Petrache, T Riviere Geometric and Functional Analysis 21, 1419-1442, 2011	16	2011
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds M Petrache, J Van Schaftingen International Mathematics Research Notices 2017 (12), 3647-3683, 2017	12	2017
Three iterations of (d− 1)-WL test distinguish non isometric clouds of d-dimensional points V Delle Rose, A Kozachinskiy, C Rojas, M Petrache, P Barceló Advances in Neural Information Processing Systems 36, 9556-9573, 2023	9	2023
Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics DP Hardin, M Petrache, EB Saff Potential Analysis, 1-44, 2020	9	2020
Fisher flow matching for generative modeling over discrete data O Davis, S Kessler, M Petrache, II Ceylan, M Bronstein, AJ Bose arXiv preprint arXiv:2405.14664, 2024	7	2024
Notes on a slice distance for singular Lp-bundles M Petrache Journal of Functional Analysis 267 (2), 405-427, 2014	6	2014

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