2 problems

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The soft-core Gibbs-to-non-Gibbs transition-time conjecture
Soft-core transition-time conjecture. There exists a time $t_{NG}(\beta)$ such that the time-evolved measure is Gibbs for all $t<t_{NG}(\beta)$ and non-Gibbs for all…
Conjectureopendynamical-phase-transitions gibbs-measures lattice-gasesarXiv posted 2 days ago
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The asymmetric hard-core model's absence-of-phase-transition conjecture
Let $E=\{-1,0,1\}$ , and let $\alpha\in\mathcal{M}_1(E)$ be asymmetric, meaning $\alpha(1)\neq\alpha(-1)$ . For the hard-core model, write…
Conjectureopendynamical-phase-transitions gibbs-measures lattice-gasesarXiv posted 2 days ago

The soft-core Gibbs-to-non-Gibbs transition-time conjecture