T. Letendre

activity

20142025

most citedExpected volume and Euler characteristic of random submanifolds

34 citations · 51 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2025

Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems

Michele Ancona, Louis Gass, Thomas Letendre +1

Let $f : R^{d} \to R^{k}$ be a smooth centered stationary Gaussian field and $B \subset R^{d}$ be a bounded Borel set. In this paper, we determine the…

math.DG2023★ 3 cited

Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields

Michele Ancona, Thomas Letendre

We define a notion of multijet for functions on $R^{n}$ , which extends the classical notion of jets in the sense that the multijet of a function is defined by contact condit…

math.PR2020★ 5 cited

Zeros of smooth stationary Gaussian processes

Michele Ancona, Thomas Letendre

Let $f : R \to R$ be a stationary centered Gaussian process. For any $R > 0$ , let $ν_{R}$ denote the counting measure of ${x \in R ∣ f (R x) = 0}$ . In this pa…

math.AG2019

Roots of Kostlan polynomials: moments, strong Law of Large Numbers and Central Limit Theorem

Michele Ancona, Thomas Letendre

We study the number of real roots of a Kostlan random polynomial of degree $d$ in one variable. More generally, we are interested in the distribution of the counting measure of the…

math-ph2019★ 1 cited

Random moments for the new eigenfunctions of point scatterers on rectangular flat tori

Thomas Letendre, Henrik Ueberschär

We define a random model for the moments of the new eigenfunctions of a point scat-terer on a 2-dimensional rectangular flat torus. In the deterministic setting,Seba conjectured th…

math.MG2017★ 8 cited

Variance of the volume of random real algebraic submanifolds II

Thomas Letendre, Martin Puchol

Let $X$ be a complex projective manifold of dimension $n$ defined over the reals and let $M$ be its real locus. We study the vanishing locus $Z_s_d$ in $M$ of a rando…

math.MG2016

Variance of the volume of random real algebraic submanifolds

Thomas Letendre

Let $X$ be a complex projective manifold of dimension $n$ defined over the reals and let $M$ denote its real locus. We study the vanishing locus $Z_s_d$ in $M$ of a r…

math.MG2014★ 34 cited

Expected volume and Euler characteristic of random submanifolds

Thomas Letendre

In a closed manifold of positive dimension $n$ , we estimate the expected volume and Euler characteristic for random submanifolds of codimension $r \in {1, ..., n}$ in two different…