4 problems
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Di Francesco's alternating VSFPL sum-rule conjecture
Let be the components of the open-boundary qKZ solution indexed by link patterns , and let count vertically symmetric fully p…
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Conjectured convex-transition probability for the growth problem
Let be the parameter of the growth problem, and consider the interfaces with . A transition at position is convex when . Convex-transition…
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Di Francesco's refined correspondence for the square domain
Let be the square domain, let be the FPL refinement according to the ordinary link-pattern function, and let…
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Di Francesco's refined Razumov–Stroganov correspondence
Let be a positive integer, let denote the refined FPL enumeration of link patterns, and let be the unique ground state of the…