W. Verreault

activity

20242026

collaborators

6 papers

math.NT2026

Almost sure upper bound for sums of random multiplicative functions and critical chaos

William Verreault

Let $f$ be a Steinhaus or Rademacher random multiplicative function. We use methods from the theory of critical chaos to improve on the best known upper bound for partial sums of r…

math.FA2026

A proof of conjectures of Esterle and Ransford on negative powers of contractions

William Verreault

Building on work of Ransford, we prove that whenever $E$ is a closed subset of the unit circle of Lebesgue measure zero, there exists a positive sequence $u_{n} \to \infty$ such that i…

math.NT2025

Central limit theorems for random multiplicative functions over function fields

Declan Hoban, Jibran Iqbal Shah, Nadya-Catherine Ismail +2

We provide a sufficient characterization for subsets $A$ of the polynomial ring $F_{q} [t]$ for which partial sums of Steinhaus random multiplicative functions appr…

math.MG2025

Plank theorems and their applications: a survey

William Verreault

Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank pro…

math.NT2025

On the minimal length of addition chains

Jean-Marie De Koninck, Nicolas Doyon, William Verreault

We denote by $ℓ (n)$ the minimal length of an addition chain leading to $n$ and we define the counting function $F (m, r) := # {n \in [2^{m}, 2^{m + 1}) : ℓ (n) \leq m + r},$ …

math.FA2024

The CesÃ ro operator on local Dirichlet spaces

Eugenio Dellepiane, Javad Mashreghi, Mostafa Nasri +1

The family of CesÃ ro operators $I ¨ _{n}^{I^} \pm$ , $n \geq 0$ and $I^\pm \in [0, 1]$ , consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this wor…