| Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere L Bétermin, E Sandier Constructive Approximation 47 (1), 39-74, 2018 | 88 | 2018 |
| Two-dimensional theta functions and crystallization among Bravais lattices L Bétermin SIAM Journal on Mathematical Analysis 48 (5), 3236-3269, 2016 | 49 | 2016 |
| Minimization of energy per particle among Bravais lattices in ℝ2: Lennard–Jones and Thomas–Fermi cases L Bétermin, P Zhang Communications in Contemporary Mathematics 17 (06), 1450049, 2015 | 42 | 2015 |
| Local variational study of 2d lattice energies and application to Lennard–Jones type interactions L Bétermin Nonlinearity 31 (9), 3973, 2018 | 34 | 2018 |
| Dimension reduction techniques for the minimization of theta functions on lattices L Bétermin, M Petrache Journal of Mathematical Physics 58 (7), 2017 | 33 | 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 | 30 | 2019 |
| Minimizing lattice structures for Morse potential energy in two and three dimensions L Bétermin Journal of Mathematical Physics 60 (10), 2019 | 28 | 2019 |
| Crystallization to the square lattice for a two-body potential L Bétermin, L De Luca, M Petrache Archive for Rational Mechanics and Analysis 240 (2), 987-1053, 2021 | 27 | 2021 |
| Local optimality of cubic lattices for interaction energies L Bétermin Analysis and Mathematical Physics 9 (1), 403-426, 2019 | 26 | 2019 |
| A variational principle for Gaussian lattice sums L Bétermin, M Faulhuber, S Steinerberger arXiv preprint arXiv:2110.06008, 2021 | 18 | 2021 |
| On Born’s conjecture about optimal distribution of charges for an infinite ionic crystal L Bétermin, H Knüpfer Journal of Nonlinear Science 28 (5), 1629-1656, 2018 | 18 | 2018 |
| Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies L Bétermin, M Faulhuber Journal d'Analyse Mathématique 149 (1), 307-341, 2023 | 17 | 2023 |
| On the optimality of the rock-salt structure among lattices with charge distributions L Bétermin, M Faulhuber, H Knüpfer Mathematical Models and Methods in Applied Sciences 31 (02), 293-325, 2021 | 16 | 2021 |
| Optimal lattice configurations for interacting spatially extended particles L Bétermin, H Knüpfer arXiv preprint arXiv:1710.05581, 2017 | 16 | 2017 |
| On energy ground states among crystal lattice structures with prescribed bonds L Bétermin Journal of Physics A: Mathematical and Theoretical 54 (24), 245202, 2021 | 15 | 2021 |
| Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies L Bétermin, L Šamaj, I Travěnec Studies in Applied Mathematics 150 (1), 69-91, 2023 | 12 | 2023 |
| Optimality of the triangular lattice for Lennard–Jones type lattice energies: a computer-assisted method L Bétermin Journal of Physics A: Mathematical and Theoretical 56 (14), 145204, 2023 | 11 | 2023 |
| Effect of periodic arrays of defects on lattice energy minimizers L Bétermin Annales Henri Poincaré 22 (9), 2995-3023, 2021 | 11 | 2021 |
| Minimal soft lattice theta functions L Bétermin Constructive Approximation 52 (1), 115-138, 2020 | 11 | 2020 |
| Crystallization of one-dimensional alternating two-component systems L Bétermin, H Knüpfer, F Nolte HAL 2018, 2018 | 10 | 2018 |
Mircea PetrachePUC ChileVerified email at mat.uc.cl
