Author

Ben Krause

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Preprint Sep 2026

Restricted isometry of sampled Fourier and Hadamard matrices via entropic descent

In this second paper on descent methods as proof mechanisms in harmonic analysis (the first treated Bourgain's $\Lambda(p)$ selection theorem), entropic mirror descent gives an improved restricted isometry bound, improving sampling and recovery bounds in the Fourier Ratio program. Let $H$ be a complex $n\times n$ matri...

W. Burstein, A. Iosevich, Ben Krause · 0 citations

Preprint Aug 2026

Quantitative bounds for sets lacking polynomial progressions with shifted prime difference

We prove quantitative polynomial Szemer\'edi-type theorems involving polynomial progressions with shift parameter restricted to the set of shifted primes $\mathbb{P}-1$. The types of configurations covered are distinct degree progressions and progressions involving integer multiples of a fixed polynomial. For nonlinear...

Ben Krause, Hamed Mousavi, Terence Tao et al. · 2 citations · ⚡2

Preprint Sep 2026

Endpoint Estimates for Stein's Purely Quadratic Carleson Operator

We study the near $L^1$ behavior of the maximally quadratically modulated Hilbert transform \[ \mathcal{C}_2f(x) := \sup_{\lambda} \left|\operatorname{p.v.} \int_{\mathbb{R}}f(x-y)e^{2 \pi i \lambda y^2} \frac{\mathrm{d} y }{y} \right| \] and its lacunary counterpart obtained by restricting $\lambda$ to $2^{\mathbb{Z}}...

A. Fragkos, Ben Krause, Michael T. Lacey · 0 citations