15 citations · 22 across the 8 of their papers we have counts for
11 papers
Prescribed projections for a general class of maps and efficient covering by variable plane curves
Alan Chang, Robert Fraser, Alex McDonald +2
We prove a prescribed projection theorem for any class of non-linear projections defined on open subsets of the plane which satisfies some mild geometric conditions. This generaliz…
Fourier Dimension Estimates for Sets of Exact Approximation Order: the Well-Approximable Case
Robert Fraser, Reuben Wheeler
We obtain a Fourier dimension estimate for sets of exact approximation order introduced by Bugeaud for certain approximation functions . This Fourier dimension estimate implies…
Three-term arithmetic progressions in subsets of of large Fourier dimension
Robert Fraser
We show that subsets of of large Fourier dimension must contain three-term arithmetic progressions. This contrasts with a construction of Shmerkin of a subs…
On The Local Sum Conjecture in Two Dimensions
Robert Fraser, James Wright
In this paper we give an elementary proof of the local sum conjecture in two dimensions. In a remarkable paper [CMN, arXiv:1810.11340], this conjecture has been established in all…
Polynomial Roth theorems on sets of fractional dimensions
Robert Fraser, Shaoming Guo, Malabika Pramanik
Let be a closed set of Hausdorff dimension . Let be a polynomial without a constant term whose degree is bigger tha…
A framework for constructing sets without configurations
Robert Fraser
We discuss a framework for constructing large subsets of and for non-archimedean local fields . This framework is applied to obtain new estimates for the Ha…