Optimal and non-optimal lattices for non-completely monotone interaction potentials-Reference-Cited by-同舟云学术

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Optimal and non-optimal lattices for non-completely monotone interaction potentials

Published:2019-04-19 Issue:4 Volume:9 Page:2033-2073
ISSN:1664-2368
Container-title:Analysis and Mathematical Physics
language:en
Short-container-title:Anal.Math.Phys.

Author:

Bétermin Laurent^ORCID,Petrache Mircea^ORCID

Funder

Fondo Nacional de Desarrollo Científico y Tecnológico

Villum Fonden

European Research Council

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s13324-019-00299-6.pdf

Reference75 articles.

1. Aftalion, A., Blanc, X., Nier, F.: Lowest Landau level functional and Bargmann spaces for Bose–Einstein condensates. J. Funct. Anal. 241, 661–702 (2006)

2. Banaszczyk, W.: New bounds in some transference theorems in the geometry of numbers. Math. Ann. 296(1), 625–635 (1993)

3. Bernstein, S.: Sur les Fonctions Absolument Monotones. Acta Math. 52, 1–66 (1929)

4. Bétermin, L.: Two-dimensional Theta functions and crystallization among Bravais lattices. SIAM J. Math. Anal. 48(5), 3236–3269 (2016)

5. Bétermin, L.: Local optimality of cubic lattices for interaction energies. Anal. Math. Phys. 9(1), 403–426 (2017). https://doi.org/10.1007/s13324-017-0205-5

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1. On lattice hexagonal crystallization for non-monotone potentials;Journal of Mathematical Physics;2024-07-01

2. Structural transitions in interacting lattice systems;Analysis and Mathematical Physics;2024-03-15

3. Optimality of the triangular lattice for Lennard–Jones type lattice energies: a computer-assisted method;Journal of Physics A: Mathematical and Theoretical;2023-03-16

4. Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies;Journal d'Analyse Mathématique;2023-01-05

5. On minima of difference of theta functions and application to hexagonal crystallization;Mathematische Annalen;2022-09-10

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