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Wolff in 1999, asks for the best lower bound for the dimension of Furstenberg $s$-sets. Wolff proved that $\\dim_{\\mathrm{H}} K \\geq \\max\\{s + 1/2,2s\\}$ and conjectured that $\\dim_{\\mathrm{H}} K \\geq (1 + 3s)/2$. 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