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Mircea Petrache
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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
982017
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
382020
Dimension reduction techniques for the minimization of theta functions on lattices
L Bétermin, M Petrache
Journal of Mathematical Physics 58 (7), 2017
322017
Optimal and non-optimal lattices for non-completely monotone interaction potentials
L Bétermin, M Petrache
Analysis and Mathematical Physics 9 (4), 2033-2073, 2019
262019
Equidistribution of jellium energy for Coulomb and Riesz interactions
M Petrache, S Rota Nodari
Constructive Approximation 47, 163-210, 2018
262018
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
262017
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
232021
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
232018
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
222010
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
212019
Approximation-generalization trade-offs under (approximate) group equivariance
M Petrache, S Trivedi
Advances in Neural Information Processing Systems 36, 61936-61959, 2023
202023
The resolution of the Yang–Mills Plateau problem in super-critical dimensions
M Petrache, T Rivière
Advances in Mathematics 316, 469-540, 2017
20*2017
A continuous model of transportation revisited
L Braso, M Petrahe
Journal of mathematical sciences 196, 119-137, 2014
192014
Global gauges and global extensions in optimal spaces
M Petrache, T Riviere
Analysis & PDE 7 (8), 1851-1899, 2015
162015
Weak Closure of Singular Abelian L p -Bundles in 3 Dimensions
M Petrache, T Riviere
Geometric and Functional Analysis 21, 1419-1442, 2011
162011
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
122017
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
112023
Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics
DP Hardin, M Petrache, EB Saff
Potential Analysis, 1-44, 2020
92020
Fisher flow matching for generative modeling over discrete data
O Davis, S Kessler, M Petrache, I Ceylan, M Bronstein, J Bose
Advances in Neural Information Processing Systems 37, 139054-139084, 2025
82025
The space of weak connections in high dimensions
M Petrache, T Riviere
arXiv preprint arXiv:1812.04432, 2018
62018
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Artiklar 1–20