11 citations · 20 across the 18 of their papers we have counts for
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Improved dimension bounds for Falconer's distance problem in the plane
Alex Iosevich, Alexia Yavicoli
Let be analytic with . We prove for an absolute, non-explicit constant , and \[ \dim_{\mathrm H}…
Point Configurations in Brownian Traces
P. Kosenko, J. M. Medina, A. Yavicoli
We study finite and countable point configurations in the trace of Brownian motion in , . In the plane, the set of translations placing a prescribed finite co…
The Erdős similarity conjecture and Rajchman measures
A. Iosevich, N. Kulkarni, N. Mora Cuéllar +2
Let support a probability measure whose Fourier--Stieltjes transform tends to zero at infinity. We prove that, for every , there is a cl…
Minkowski sums with convex curves without pointwise Fourier decay
Alex Iosevich, Zhangze Li, Eyvindur Palsson +2
Let be a compact convex graph and define \[ T(Γ) = \inf \left\{ t: \dim_{\mathrm H}(E)>t \Longrightarrow |E+Γ|>0 \text{ for every compact }E\subset\mathbb R^2…
Arithmetic-progression gap sets in Cantor sets
Samantha Sandberg-Clark, Krystal Taylor, Alexia Yavicoli
We address the question of which common differences can arise in arithmetic progressions contained in fractal sets. For a compact set , we investigate not only w…
The Erdős Similarity Conjecture for Two-Fold Sumsets with a Geometric Summand
N. Mora Cuellar, A. Iosevich, N. Kulkarni +2
We settle a major case in the two-set regime of the Erdős similarity conjecture: the sum of a geometric sequence and an arbitrary infinite set is never measure universal. Here a se…
Additive and multiplicative densities, prime valuations and symbolic models
Natalia Mora Cuellar, Ignacio Rojas Aravena, Alexia Yavicoli
We study additive and multiplicative densities of subsets of along prescribed Følner sequences. We prove that additive upper density one implies multiplicative density one alo…
Falconer lattice sets and the Erdos similarity problem
A. Iosevich, A. Yavicoli
We show that a family of extremely thin sets satisfy the Erdős similarity conjecture. These examples lie outside the range covered by recent work of Shmerkin and Yavicoli \cite{Shm…
PDE propagation, sampling, and the Fourier ratio
A. Iosevich, J. Iosevich, E. Palsson +1
We study recovery from incomplete random spatial samples for discretized fields arising as fixed-time snapshots of partial differential equations. The organizing parameter is the F…
Discretization, sampling, and the Fourier ratio
A. Iosevich, E. Palsson, A. Yavicoli
We derive fundamental sampling bounds for smooth signals in continuous settings without sparsity assumptions. By introducing the Fourier ratio as a measure of spectral compressibil…