21 citations · 107 across the 30 of their papers we have counts for
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4 papers · 1 filter
math.CA2000★ 1 cited
The spectral set conjecture and multiplicative properties of roots of polynomials
I. Laba
We obtain new partial results supporting the spectral set conjecture in dimension 1.
math.CA2000★ 4 cited
An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension
Izabella Laba, Terence Tao
We use geometrical combinatorics arguments, including the ``hairbrush'' and x-ray arguments of Wolff and the sticky/plany/grainy analysis of Katz, Laba, and Tao, to show that Besic…
math-ph2000★ 13 cited
Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds
I. Laba, A. Soffer
We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave o…
math.CA2000
Fuglede's conjecture for a union of two intervals
I. Laba
We prove that a union of two intervals in R is a spectral set if and only if it tiles R by translations.