Horizontal-fibre conjecture for minimal conformal dimension of continuous graphs
Let Γ\GammaΓ be the graph of a continuous function f:[0,1]→Rf:[0,1]\to\mathbb{R}f:[0,1]→R, and let Za=(−∞,∞)×{a}Z_a=(-\infty,\infty)\times\{a\}Za=(−∞,∞)×{a} be the horizontal line at height aaa. Suppose there is a set…