Christopher Lutsko

collaborators

3 papers

math.NT2026

Poissonian correlations of $I^\pm n^{d}$ mod $1$

Chris Lutsko, Nick Rome, Niclas Technau

Let $x (n) := I^\pm n^{d} mod 1$ for integer $d > 1$ and non-zero real $I^\pm$ . We show that ${x (n)}_{n > 0}$ has Poissonian $ℓ$ -point correlations for almost all choices of $I^\pm$ when $d$ i…

math.NT2025

The Gauss circle problem for Penrose tilings

Alan Haynes, Christopher Lutsko

Let $B_{R}$ denote the closed Euclidean ball of radius $R$ in the plane. In this paper we prove that, if $V$ is the set of vertices of any unit length rhombic Penrose tiling then, fo…

math.RT2025

Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces

Christopher Lutsko, Tobias Weich, Lasse L. Wolf

Given a real semisimple connected Lie group $G$ and a discrete subgroup $I^ < G$ we prove a precise connection between growth rates of the group $I^$ , polyhedral bounds on the joint…

Poissonian correlations of I^±nd mod 1

The Gauss circle problem for Penrose tilings

Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces

Poissonian correlations of $I^\pm n^{d}$ mod $1$