3 papers
math.CA2025
Fifty years of the Erdős similarity conjecture
Yeonwook Jung, Chun-Kit Lai, Yuveshen Mooroogen
Erdős similarity conjecture was proposed by P. Erdős in 1974. The conjecture remains open for exponentially decaying sequences as well as Cantor sets that have both Newhouse thickn…
math.CA2023
On an Erdős similarity problem in the large
Xiang Gao, Yuveshen Mooroogen, Chi Hoi Yip
In a recent paper, Kolountzakis and Papageorgiou ask if for every , there exists a set such that for every int…
math.CA2022
Large subsets of Euclidean space avoiding infinite arithmetic progressions
Laurestine Bradford, Hannah Kohut, Yuveshen Mooroogen
It is known that if a subset of has positive Lebesgue measure, then it contains arbitrarily long finite arithmetic progressions. We prove that this result does not ext…