101 citations · 193 across the 13 of their papers we have counts for
14 papers
A bound for plany Kakeya sets in using the planebrush method
Izabella Łaba, Mukul Rai Choudhuri, Joshua Zahl
Katz and Zahl used a planebrush argument to prove that Kakeya sets in have Hausdorff dimension at least 3.059. In the special case when the Kakeya set is plany, thei…
On the minimal period of integer tilings
Izabella Łaba, Dmitrii Zakharov
If a finite set tiles the integers by translations, it also admits a tiling whose period has the same prime factors as . We prove that the minimal period of such a til…
Combinatorial and harmonic-analytic methods for integer tilings
Izabella Laba, Itay Londner
A finite set of integers tiles the integers by translations if can be covered by pairwise disjoint translated copies of . Restricting attention to one tiling pe…
A Discrete Carleson Theorem Along the Primes with a Restricted Supremum
Laura Cladek, Kevin Henriot, Ben Krause +2
Consider the discrete maximal function acting on finitely supported functions on the integers, \[ \mathcal{C}_Λf(n) := \sup_{λ\in Λ} | \sum_{p \in \pm \mathbb{P}} f(n-p) \log |p| \…
On polynomial configurations in fractal sets
Kevin Henriot, Izabella Laba, Malabika Pramanik
We show that subsets of of large enough Hausdorff and Fourier dimension contain polynomial patterns of the form \begin{align*} ( x ,\, x + A_1 y ,\, \dots,\, x + A_{…
Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Restriction Theorem in Higher Dimensions
Kyle Hambrook, Izabella Łaba
We prove the range of exponents in the general Fourier restriction theorem due to Mockenhaupt, Mitsis, Bak and Seeger is sharp for a large class of measures on …