W. Verreault

activity

20212026

most citedNonlinear expansions in reproducing kernel Hilbert spaces

2 citations · 8 across the 19 of their papers we have counts for

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4 papers · 1 filter

math.NT2026

On the distribution of the minimal length of addition chains

Jean-Marie De Koninck, Nicolas Doyon, William Verreault

A sequence of integers $1 = a_{0} < a_{1} < \dots < a_{k} = n$ is called an addition chain of length $k$ if $a_{j} = a_{s} + a_{t}$ with $0 \leq s, t < j$ for all integers $j \in {1, 2, \dots, k}$ . We denote by…

math.PR2026

Fourier decay of Gaussian multiplicative chaos and boundary geometry

Marcu-Antone Orsoni, William Verreault

In this paper, we develop a new approach to studying the Fourier transform of Gaussian multiplicative chaos. We determine the Fourier dimension of these random measures on tori for…

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…