CORDIS Project
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This project aims to advance the understanding of the Cohn-Kumar conjecture regarding the A2 lattice's optimal energy configuration. It focuses on developing new mathematical techniques for interpolation formulas and their applications in solving complex functional equations, with implications for materials science and…
In 2006 Cohn and Kumar have conjectured that the A2 lattice is universally optimal, meaning that it has the lowest potential energy among all configurations of the same density for all completely monotone potentials.
This conjecture has several very important corollaries.
Among other consequences, it is known that it implies a positive solution to the 2D crystallization problem, a major unsolved problem coming from materials science, and it also implies a conjecture on the emergence of the trian…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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