21 citations · 107 across the 30 of their papers we have counts for
29 papers
Favard length and generalized projections
Izabella Laba, Alex McDonald, Krystal Taylor
We investigate generalized Favard lengths associated to smooth families of nonlinear projections. Under suitable regularity and transversality assumptions, we prove that generalize…
Splitting for integer tilings
Izabella Łaba, Itay Londner
We consider translational integer tilings by finite sets . We introduce a new method based on \emph{splitting}, together with a new combinatorial interpretation…
Keller properties for integer tiling
Benjamin Bruce, Izabella Laba
Keller's conjecture on cube tilings asserted that, in any tiling of by unit cubes, there must exist two cubes that share a -dimensional face. This is now know…
Generalized polynomials and hyperplane functions in
Izabella Łaba, Charlotte Trainor
For prime, let be the linear span of characteristic functions of hyperplanes in . We establish new upper bounds on the dimension o…
The Coven-Meyerowitz tiling conditions for 3 prime factors: the even case
Izabella Laba, Itay Londner
We consider finite sets tiles the integers by translations. By periodicity, any such tiling is equivalent to a factorization of a fini…
Vanishing sums of roots of unity and the Favard length of self-similar product sets
Izabella Laba, Caleb Marshall
We improve a special case of the Lam-Leung lower bound on the number of elements in a vanishing sum of -th roots of unity. Using this result, we extend the Favard length estimat…