Sigrid Grepstad

activity

20122025

most citedOn pair correlation and discrepancy

3 citations · 7 across the 11 of their papers we have counts for

collaborators

15 papers

math.MG2025

Bounded remainder sets, bounded distance equivalent cut-and-project sets, and equidecomposability

Mark Mordechai Etkind, Sigrid Grepstad, Mihail N. Kolountzakis +1

We use the measurable Hall's theorem due to Cieśla and Sabok to prove that (i) if two measurable sets $A, B \subset R^{d}$ of the same measure are bounded remainder sets with…

math.CA2025

Bounded lattice tiles that pack with another lattice

Sigrid Grepstad, Mihail N. Kolountzakis, Emmanuil Spyridakis

Suppose $L, M$ are full-rank lattices in Euclidean space, such that $vol L < vol M$ . Answering a question of Han and Wang from 2001, we show how to construct…

math.CA2025

Bounded common fundamental domains for two lattices

Sigrid Grepstad, Mihail N. Kolountzakis

We prove that for any two lattices $L, M \subseteq R^{d}$ of the same volume there exists a measurable, bounded, common fundamental domain of them. In other words, there exi…

math.DS2024

Bounded distance equivalence of cut-and-project sets and equidecomposability

Sigrid Grepstad

We show that given a lattice $Γ \subset R^{m} \times R^{n}$ , and projections $p_{1}$ and $p_{2}$ onto $R^{m}$ and $R^{n}$ respectively, cut-and-project sets…

math.FA2022★ 2 cited

Hilbert points in Hilbert space-valued $L^{p}$ spaces

Ole Fredrik Brevig, Sigrid Grepstad

Let $H$ be a Hilbert space and $(Ω, F, μ)$ a probability space. A Hilbert point in $L^{p} (Ω; H)$ is a nontrivial function $φ$ such that $∥ φ ∥_{p} \leq ∥ φ + f ∥_{p}$ whenever $\la…

math.NT2021

On the order of magnitude of Sudler products II

Sigrid Grepstad, Mario Neumüller, Agamemnon Zafeiropoulos

We study the asymptotic behavior of Sudler products $P_{N} (α) = \prod_{r = 1}^{N} 2∣ sin π r α ∣$ for quadratic irrationals $α \in R$ . In particular, we verify the convergence of ce…