3 problems

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Endpoint-admissibility conjecture for interaction potentials on the two-dimensional torus
Let $w\in L^1(\mathbb{T}^2)$ be an interaction potential. Suppose that endpoint-admissibility is the condition in Definition 3.1(iv) of the paper, while $2$ -admissibility is the co…
Conjectureopengibbs-measures interaction-potentials nonlinear-schrodinger-equationsarXiv posted 2 days ago
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Local minimality conjecture for the perturbed triangular lattice
Let $f_\varepsilon$ be the potential defined in the source, let $\Lambda_1$ be the triangular lattice, and consider periodic configurations of fixed density. Local minimality conje…
Conjectureopeninteraction-potentials lattice-optimization periodic-configurationsarXiv posted 2 days ago
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Petrat–Tumulka conjecture on multi-time Dirac interaction potentials
Petrat–Tumulka conjecture. Interacting systems of this form with general non-vanishing potentials that lead to interaction between the particles are excluded, because they violate…
Conjectureopendirac-equations interaction-potentials multi-time-quantum-mechanicsarXiv posted 2 days ago

Endpoint-admissibility conjecture for interaction potentials on the two-dimensional torus