2 problems

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Cutoff conjecture for Swendsen–Wang dynamics on the lattice
Let the Swendsen–Wang dynamics be defined on a lattice graph, with temperature allowed to vary and with criticality referring to the model's critical temperature. Lattice cutoff co…
Conjectureopencutoff-phenomenon lattice-models swendsen-wang-dynamicsarXiv posted 2 days ago
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The Swendsen–Wang spectral-gap comparison conjecture
Swendsen–Wang spectral-gap comparison conjecture. There should exist a constant $c>0$ such that
Conjectureopenpotts-model spectral-gaps swendsen-wang-dynamicsarXiv posted 2 days ago

Cutoff conjecture for Swendsen–Wang dynamics on the lattice