11 citations · 16 across the 5 of their papers we have counts for
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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.CO2002
Discrete subsets of R^2 and the associated distance sets
A. Iosevich, I. Laba
We prove that a well-distributed subset of R^2 can have a separated distance set only if the distance is induced by a polygon.
math.CO2001
On sets of integers not containing long arithmetic progressions
Izabella Laba, Michael T. Lacey
We construct subsets of {1,...,N} of cardinality at least N exp(-C(log N)^{1/(k+1)}) which do not contain arithmetic progressions of length 2^k+1. This extends a result of Behrend…