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math.CO2005★ 1 cited
Incidence theorems for pseudoflats
Izabella Laba, Jozsef Solymosi
We prove Pach-Sharir type incidence theorems for a class of curves in R^n and surfaces in R^3, which we call pseudoflats. In particular, our results apply to a wide class of generi…
math.CO2004
Distance sets of well-distributed planar sets for polygonal norms
Sergei Konyagin, Izabella Laba
Let X be a 2-dimensional normed space, and let BX be the unit ball in X. We discuss the question of how large the set of extremal points of BX must be if X contains a well-distribu…