4 problems

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Optimal-mixing conjecture for Kawasaki dynamics above the analytic threshold
Let $\mathcal G_\Delta$ be the class of graphs under consideration, let $\hat{\mu}_{G,\beta,\eta}$ be the fixed-magnetization Ising measure on $G\in\mathcal G_\Delta$ , and let…
Conjectureopenising-model kawasaki-dynamics mixing-timesarXiv posted 2 days ago
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Conjecture on fast Kawasaki mixing up to the tree reconstruction threshold
Fast-mixing conjecture. Kawasaki dynamics mixes fast up to the tree reconstruction threshold for all $d\geq 3$ .
Conjectureopenising-model kawasaki-dynamics random-regular-graphsarXiv posted 2 days ago
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Conjecture on metastability throughout the broader parameter region
Metastability conjecture. The metastability results presented in that work should hold throughout the region given by $$, even though the critical droplets are different when $Delt…
Conjectureopenkawasaki-dynamics metastability statistical-mechanicsarXiv posted 2 days ago
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The metastability hypotheses throughout the proper metastable region
Metastability conjecture. The hypotheses (H1)--(H3) hold throughout the proper metastable region.
Conjectureopeninteracting-particle-systems kawasaki-dynamics metastabilityarXiv posted 2 days ago

Optimal-mixing conjecture for Kawasaki dynamics above the analytic threshold