Laboratoire de Mathématiques Jean Leray

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19962026

most citedDeterminantal point process models and statistical inference : Extended version

238 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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68 papers · 1 filter

math.DG2026

Open $3$ -manifolds with non negative Ricci curvature in a spectral or integral sense

Gilles Carron

We show that if a complete Riemannian $3 -$ manifold has $L^{\frac{3}{2}} -$ integrable Ricci curvature, satisfies a Sobolev inequality and has a non negative Ricci curvature in a spectr…

math.DG2025

Poincar{é} series for analytic convex bodies

Nguyen Viet Dang, Yannick Guedes Bonthonneau, Matthieu Léautaud +1

We study Poincar{é} series associated to strictly convex bodies in the Euclidean space. These series are Laplace transforms of the distribution of lengths (measured with the Finsle…

math.DG2025

Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below

Colette Anné, Junya Takahashi

For each degree p and each natural number k $\geq$ 1, we construct a oneparameter family of Riemannian metrics on any oriented closed manifold with volume one and the sectional curv…

math.DG2025

Local Existence Of The Symplectic Gradient Flow On The Hyperkähler Four-dimensional Flat Torus

Pinsard Morel Lucas

Introducing a moment map whose zero locus is the group of symplectomorphisms of the real four-dimensional torus, we exhibit a gradient flow that can be made into a strictly parabol…

math.DG2024

Type problem, the first eigenvalue and Hardy inequalities

Gilles Carron, Bo-Yong Chen, Yuanpu Xiong

In this paper, we study the relationship between the type problem and the asymptotic behaviour of the first (Dirichlet) eigenvalues $λ_{1} (B_{r})$ of ``balls'' $B_{r} := {ρ < r}$ on a comp…

math.DG2023

The signature of geometrically decomposable aspherical 4-manifolds

Luca Fabrizio Di Cerbo, Marco Golla

We construct examples of geometrically decomposable aspherical 4-manifolds with non-zero signature. We show that all such 4-manifolds satisfy the inequality (of Bogomolov--Miyaoka-…

math.DG2022

Boundedness of Schr{ö}dinger operator in energy space

Gilles Carron, Maël Lansade

On a complete weighted Riemannian manifold $(M^{n}, g, μ)$ satisfying the doubling condition and the Poincar{é} inequalities, we characterize the class of function $V$ such that the Sc…

math.DG2022

The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant

Gilles Carron, Eric Chen, Yi Wang

We study the Yamabe flow on asymptotically flat manifolds with non-positive Yamabe constant $Y \leq 0$ . Previous work by the second and third named authors \cite{ChenWang} showed th…

math.DG2022

A Remark on the First Eigenvalue of the Laplace Operator on 1-forms for Compact Inner Symmetric Spaces

Jean-Louis Milhorat

We remark that on a compact inner symmetric space $G / K$ , indowed with the Riemmannian metric given by the Killing form of $G$ signed-changed, the first (non-zero) eigenvalue of the…

math.DG2021★ 2 cited

Convergence of the Yamabe flow on singular spaces with positive Yamabe constant

Gilles Carron, Jørgen Olsen Lye, Boris Vertman

In this work, we study the convergence of the normalized Yamabe flow with positive Yamabe constant on a class of pseudo-manifolds that includes stratified spaces with iterated cone…

math.DG2021

Small eigenvalues of the rough and Hodge Laplacians under fixed volume

Colette Anné, Junya Takahashi

For each degree p, we construct on any closed manifold a family of Riemannian metrics, with fixed volume such that any positive eigenvalues of the rough and Hodge Laplacians acting…

math.DG2021★ 3 cited

Limits of manifolds with a Kato bound on the Ricci curvature

Gilles Carron, Ilaria Mondello, David Tewodrose

We study the structure of Gromov-Hausdorff limits of sequences of Riemannian manifolds ${(M_{α}^{n}, g_{α})}_{α \in A}$ whose Ricci curvature satisfies a uniform Kato bound. We first obt…

math.DG2020

Pressure at infinity and strong positive recurrence in negative curvature

Sébastien Gouëzel, Camille Noûs, Barbara Schapira +2

In the context of geodesic flows of noncompact negatively curved manifolds, we propose three different definitions of entropy and pressure at infinity, through growth of periodic o…

math.DG2020

Critical exponents of normal subgroups in higher rank

Olivier Glorieux, Samuel Tapie

We study the critical exponents of discrete subgroups of a higher rank semi-simple real linear Lie group $G$ . Let us fix a Cartan subspace $a \subset g$ of the L…

math.DG2020★ 3 cited

Poincar{é} series and linking of Legendrian knots

Nguyen Viet Dang, Gabriel Rivière

On a negatively curved surface, we show that the Poincar{é} series counting geodesic arcs orthogonal to some pair of closed geodesic curves has a meromorphic continuation to the wh…

math.DG2020

Euclidean volume growth for complete Riemannian manifolds

Gilles Carron

We provide an overview of technics that lead to an Euclidean upper bound on the volume of geodesic balls.

math.DG2019★ 3 cited

Witt pseudo-Riemannian connection

Robert Petit

We define the notion of Witt structure on the tangent bundle of a pseudo-Riemannian manifold and we introduce a connection adapted to a such structure. The notions of geodesics and…

math.DG2019

The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces

Jean-Louis Milhorat

In two previous papers, we started a study of the first eigenvalue of the Dirac operator on compact spin symmetric spaces, providing, for symmetric spaces of "inner" type, a formul…

math.DG2019

On a generalization of Inoue and Oeljeklaus-Toma manifolds

Hisaaki Endo, Andrei Pajitnov

In this paper we construct a family of complex analytic manifolds that generalize Inoue surfaces and Oeljeklaus-Toma manifolds. To a matrix $M$ in $S L (N, Z)$ satisfying som…

math.DG2019★ 2 cited

On generalized Inoue manifolds

Hisaaki Endo, Andrei Pajitnov

This paper is about a generalization of famous Inoue's surfaces. Let $M$ be a matrix in $S L (2 n + 1, Z)$ having only one real eigenvalue which is simple. We associate to $M$ a…

math.DG2018★ 3 cited

ALE Calabi-Yau metrics with conical singularities along a compact divisor

Martin de Borbon, Cristiano Spotti

We construct ALE Calabi-Yau metrics with cone singularities along the exceptional set of resolutions of $C^{n} /Γ$ with non-positive discrepancies. In particular, this incl…

math.DG2018

$A_\infty$ weights and compactness of conformal metrics under $L^{n /2}$ curvature bounds

Clara L. Aldana, Gilles Carron, Samuel Tapie

We study sequences of conformal deformations of a smooth closed Riemannian manifold of dimension $n$ , assuming uniform volume bounds and $L^{n /2}$ bounds on their scalar curvatures…

math.DG2018

Almost-Kähler smoothings of compact complex surfaces with $A_{1}$ singularities

Caroline Vernier

This paper is concerned with the existence of metrics of constant Hermitian scalar curvature on almost-Kähler manifolds obtained as smoothings of a constant scalar curvature Kähler…

math.DG2018

Discrete geometry and isotropic surfaces

François Jauberteau, Yann Rollin, Samuel Tapie

We consider smooth isotropic immersions from the 2-dimensional torus into $R^{2 n}$ , for $n \geq 2$ . When $n = 2$ the image of such map is an immersed Lagrangian torus of $R^{4}$ . We…

Open 3-manifolds with non negative Ricci curvature in a spectral or integral sense

Poincar{é} series for analytic convex bodies

Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below

Local Existence Of The Symplectic Gradient Flow On The Hyperkähler Four-dimensional Flat Torus

Type problem, the first eigenvalue and Hardy inequalities

The signature of geometrically decomposable aspherical 4-manifolds

Boundedness of Schr{ö}dinger operator in energy space

The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant

A Remark on the First Eigenvalue of the Laplace Operator on 1-forms for Compact Inner Symmetric Spaces

Convergence of the Yamabe flow on singular spaces with positive Yamabe constant

Small eigenvalues of the rough and Hodge Laplacians under fixed volume

Limits of manifolds with a Kato bound on the Ricci curvature

Pressure at infinity and strong positive recurrence in negative curvature

Critical exponents of normal subgroups in higher rank

Poincar{é} series and linking of Legendrian knots

Euclidean volume growth for complete Riemannian manifolds

Witt pseudo-Riemannian connection

The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces

On a generalization of Inoue and Oeljeklaus-Toma manifolds

On generalized Inoue manifolds

ALE Calabi-Yau metrics with conical singularities along a compact divisor

A_∞ weights and compactness of conformal metrics under Ln/2 curvature bounds

Almost-Kähler smoothings of compact complex surfaces with A1​ singularities

Discrete geometry and isotropic surfaces

Open $3$ -manifolds with non negative Ricci curvature in a spectral or integral sense

$A_\infty$ weights and compactness of conformal metrics under $L^{n /2}$ curvature bounds

Almost-Kähler smoothings of compact complex surfaces with $A_{1}$ singularities