Frédéric Ouimet

activity

20152026

most citedAsymptotic properties of Dirichlet kernel density estimators

26 citations · 305 across the 66 of their papers we have counts for

collaborators

76 papers

math.NT2026

Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line

Frédéric Ouimet

For $T > 0$ large, let $τ$ be uniformly distributed on $[T, 2 T]$ and let $σ = σ (T)$ be a deterministic real part approaching $1/2$ from the right. For the Riemann zeta function $ζ$ ,…

math.PR2026

Overlap distributions under the Gibbs measure of a Haar model of $lo g ∣ ζ ∣$ on and near the critical line

Frédéric Ouimet

We study the Gibbs measure of $H (h) = ℜ \sum_{p^{j} \leq X} U_{p}^{j} / (j p^{j (σ + ih)})$ , a random field modeling large values of the log-modulus of the Riemann zeta function on an…

math.ST2026

Spectral Analysis of Gaussian Integral Operators Arising in BHEP Tests

Bruno Ebner, Dominic Edelmann, Norbert Henze +2

The Baringhaus-Henze-Epps-Pulley (BHEP) tests for multivariate normality are affine-invariant goodness-of-fit tests based on a Gaussian-weighted $L^{2}$ distance between empirical an…

math.CA2026

Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $S L (2, R)$ Conformal Block

Frédéric Ouimet, Donald Richards

In this paper, we completely resolve the two total positivity problems raised by Li [J. High Energy Phys., 2023(7):Paper No. 167, 44 pp., 2023], thereby determining the precise sco…

math.PR2026

A proof of the strong Gaussian product inequality conjecture

Frédéric Ouimet, Dylan Greaves

Let $X = (X_{1}, \dots, X_{n})$ be a centered Gaussian vector, not necessarily nondegenerate. It is proved that, for every $α_{1}, \dots, α_{n} > 0$ , \[ \mathsf{E}\left[\prod_{i…

math.PR2026

Bounds for the median of the generalized hyperbolic and related distributions

Robert E. Gaunt, Frédéric Ouimet

We prove monotonicity properties for medians of gamma sums and differences of the form $Z_{α} = α X_{1} + (2 - α) X_{2}$ , where $X_{1}$ and $X_{2}$ are independent gamma random variables with…

Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line

Overlap distributions under the Gibbs measure of a Haar model of log∣ζ∣ on and near the critical line

Spectral Analysis of Gaussian Integral Operators Arising in BHEP Tests

Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional SL(2,R) Conformal Block

A proof of the strong Gaussian product inequality conjecture

Bounds for the median of the generalized hyperbolic and related distributions

Overlap distributions under the Gibbs measure of a Haar model of $lo g ∣ ζ ∣$ on and near the critical line

Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $S L (2, R)$ Conformal Block