2 problems

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Conjecture on mixing at the unweighted phase transition
Consider the Glauber dynamics for unweighted lattice triangulations, obtained by setting the edge-weight parameter to $=1$ . Unweighted-case mixing conjecture. The spatial and tempo…
Conjectureopenmixing-times phase-transitions random-lattice-triangulationsarXiv posted 2 days ago
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Welzl's mixing-time conjecture for random lattice triangulations
Let … denote the … T{rm mix}=O(mn(m+n)). … T{rm mix}=exp(Omega(mn(m+n))). … , while the stated extensions to all fixed values in the two regimes remain open.
Conjectureopenmarkov-chains mixing-times random-lattice-triangulationsarXiv posted 2 days ago

Conjecture on mixing at the unweighted phase transition