Reiher–Rödl–Schacht conjecture on uniform Turán density and vanishing orders
Let FFF be a kkk-graph. For integers 1≤ℓ≤k−31\leq\ell\leq k-31≤ℓ≤k−3, let πu(ℓ)(F)\pi_{\rm u}^{(\ell)}(F)πu(ℓ)(F) denote its ℓ\ellℓ-uniform Turán density. An (ℓ+1)(\ell+1)(ℓ+1)-vanishing order is an ordering of…