8 problems
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Wu's conjecture for the bond percolation threshold of the Kagomé lattice
Let denote the critical probability for bond percolation on the Kagomé lattice. Wu's conjecture. The critical probability is…
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Kagome-lattice conjecture on the second extrapolation exponent
Let be the finite-size estimates of the bond percolation threshold for the kagome lattice, and write the extrapolation after removing the leading term as … Here…
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Non-algebraicity conjecture for the kagome-lattice Potts critical manifold
Kagome non-algebraicity conjecture. The true critical manifold for the kagome lattice is non-algebraic.
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Kagome-lattice Berker–Kadanoff phase-boundary conjecture
Berker–Kadanoff phase-boundary conjecture. The curves , and surround the Berker–Kadanoff phase.
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Kagome-lattice vertical-ray conjecture
Kagome ray conjecture. The further vertical ray in the thermodynamic-limit phase diagram is located at .
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Kagome-lattice vertical-ray conjecture
Kagome ray conjecture. In the thermodynamic limit, the critical manifold contains an exactly vertical ray joining
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Kagome-lattice spanning-forest critical-point conjecture
Spanning-forest critical-point conjecture. The point is a feature of the thermodynamic-limit critical manifold; equivalently, the diced-lattice spanning-forest probl…
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Wu's critical-manifold conjecture for the kagome-lattice Potts model
Wu's conjecture. The critical manifold is the sixth-order algebraic curve