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 | 95 | 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 | 35 | 2020 |
Dimension reduction techniques for the minimization of theta functions on lattices L Bétermin, M Petrache Journal of Mathematical Physics 58 (7), 2017 | 28 | 2017 |
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 |
Equidistribution of jellium energy for Coulomb and Riesz interactions M Petrache, S Rota Nodari Constructive Approximation 47, 163-210, 2018 | 25 | 2018 |
Optimal and non-optimal lattices for non-completely monotone interaction potentials L Bétermin, M Petrache Analysis and Mathematical Physics 9 (4), 2033-2073, 2019 | 23 | 2019 |
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 | 21 | 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 | 19 | 2021 |
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 | 19 | 2019 |
A continuous model of transportation revisited L Braso, M Petrahe Journal of mathematical sciences 196, 119-137, 2014 | 19 | 2014 |
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 | 19 | 2010 |
The resolution of the Yang–Mills Plateau problem in super-critical dimensions M Petrache, T Rivière Advances in Mathematics 316, 469-540, 2017 | 17* | 2017 |
Global gauges and global extensions in optimal spaces M Petrache, T Riviere Analysis & PDE 7 (8), 1851-1899, 2015 | 15 | 2015 |
Weak Closure of Singular Abelian L p -Bundles in 3 Dimensions M Petrache, T Riviere Geometric and Functional Analysis 21, 1419-1442, 2011 | 15 | 2011 |
Approximation-generalization trade-offs under (approximate) group equivariance M Petrache, S Trivedi Advances in Neural Information Processing Systems 36, 61936-61959, 2023 | 11 | 2023 |
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 | 10 | 2017 |
Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics DP Hardin, M Petrache, EB Saff Potential Analysis, 1-44, 2020 | 8 | 2020 |
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, 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 |
The space of weak connections in high dimensions M Petrache, T Riviere arXiv preprint arXiv:1812.04432, 2018 | 5 | 2018 |