From the 1 of 8 linked papers with an AI index.
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The ErdÅs 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 ErdÅs similarity conjecture: the sum of a geometric sequence and an arbitrary infinite set is never measure universal. Here a s…
Metric entropy of Fourier ratio classes on
Alex Iosevich, Vahagn Hovhannisyan, Zahra Keyshams +1
We study metric entropy and uniform sampling for classes of signals on with prescribed Fourier ratio. The Fourier ratio measures how spread out the Fourier transfor…
Falconer lattice sets and the Erdos similarity problem
A. Iosevich, A. Yavicoli
We show that a family of extremely thin sets satisfy the ErdÅs similarity conjecture. These examples lie outside the range covered by recent work of Shmerkin and Yavicoli \cite{Sh…
Buffon Needle Problem Over Convex Sets
M. Dannenberg, W. Hagerstrom, G. Hart +4
We solve a variant of the classical Buffon Needle problem. More specifically, we inspect the probability that a randomly oriented needle of length originating in a bounded conv…