output
20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

Showing 2024Show all

20 papers · 1 filter

math.AT2024

A chain-level model for Chas-Sullivan products in Morse homology with differential graded coefficients

Robin Riegel

We use the framework of Morse theory with differential graded coefficients to study certain operations on the total space of a fibration. More particularly, we focus in this paper…

math.DG2024

Global hyperbolicity in higher signatures

Roméo Troubat

We provide a generalization of global hyperbolicity in pseudo-Riemannian spaces of signature (p, q) for p ___ q ___ 2. We then prove the compactness of causal diamonds in globally…

math.PR2024

An exponential inequality for Hilbert-valued U-statistics of i.i.d. data

Davide Giraudo

In this paper, we establish an exponential inequality for U-statistics of i.i.d. data, varying kernel and taking values in a separable Hilbert space. The bound are expressed as a s…

q-bio.QM2024★ 1 cited

Group lasso based selection for high-dimensional mediation analysis

Allan Jérolon, Flora Alarcon, Florence Pittion +4

Mediation analysis aims to identify and estimate the effect of an exposure on an outcome that is mediated through one or more intermediate variables. In the presence of multiple in…

math.CV2024

The horocyclic metric on Teichm{ü}ller spaces

Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos

In his paper Minimal stretch maps between hyperbolic surfaces, William Thurston defined a norm on the tangent space to Teichm{ü}ller space of a hyperbolic surface, which he called…

math.AP2024

Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact

Céline Van Landeghem, Luca Berti, Laëtitia Giraldi +1

Swimming involves a body's capability to navigate through a fluid by undergoing self-deformations. Typically, fluid dynamics are described by the Navier-Stokes equations, and when…

cs.DC2024

Ktirio Urban Building: A Computational Framework for City Energy Simulations Enhanced by CI/CD Innovations on EuroHPC Systems

Christophe Prud'Homme, Vincent Chabannes, Luca Berti +4

The building sector in the European Union significantly impacts energy consumption and greenhouse gas emissions. The EU's Horizon 2050 initiative sets ambitious goals to reduce the…

math.NA2024

Nonlinear compressive reduced basis approximation for multi-parameter elliptic problem

Christophe Prud'Homme, Yvon Maday, Hassan Ballout

Reduced basis methods for approximating the solutions of parameter-dependant partial differential equations (PDEs) are based on learning the structure of the set of solutions - see…

math.DG2024

Proper Almost-Homogeneous Domains of the Einstein Universe

Adam Chalumeau, Blandine Galiay

The Einstein universe of signature is a pseudo-Riemannian analogue of the conformal sphere; it is the conformal compactification of the pseudo-Riemanni…

q-bio.CB2024

Stochastic branching models for the telomeres dynamics in a model including telomerase activity

Athanase Benetos, Coralie Fritsch, Emma Horton +3

Telomeres are repetitive sequences of nucleotides at the end of chromosomes, whose evolution over time is intrinsically related to biological ageing. In most cells, with each cell…

math.RT2024

Local zeta functions for a class of p-adic symmetric spaces (II)

Pascale Harinck, Hubert Rubenthaler

In this paper we study the zeta functions associated to the minimal spherical principal series of representations for a class of reductive p-adic symmetric spaces, which are realiz…

math.HO2024

Geometry in the twentieth century: A return to Euclid -- The work of Herbert Busemann

Athanase Papadopoulos

This is a point of view of the work of Herbert Busemann (1905-1994), seen as a return to the geometry of Ancient Greece. The importance of this work, its recognition and its relati…

math.AP2024

On the set of non radiative solutions for the energy critical wave equation

Raphaël Côte, Camille Laurent

Non radiative solutions of the energy critical non linear wave equation are global solutions that furthermore have vanishing asymptotic energy outside the lightcone at both $t…

math.DS2024

What can be the limit in the CLT for a field of martingale differences?

Davide Giraudo, Emmanuel Lesigne, Dalibor Volny

The now classical convergence in distribution theorem for well normalized sums ofstationary martingale increments has been extended to multi-indexed martingaleincrements (see Volný…

math.PR2024

Deviation and moment inequalities for Banach-valued -statistics

Davide Giraudo

We show a deviation inequality for U-statistics of independent data taking values in a separable Banach space which satisfies some smoothness assumptions. We then provide applicati…

math.GT2024

The earthquake metric on Teichm{ü}ller space

Yi Huang, Ken'ichi Ohshika, Huiping Pan +1

This is the first paper to systematically study the earthquake metric, an asymmetric Finsler metric on Teichm{ü}ller space introduced by Thurston. We provide proofs for several ass…

math.AP2024

A coupled fluid-dynamics-heat transfer model for 3D simulations of the aqueous humor flow in the human eye

Thomas Saigre, Christophe Prud'Homme, Marcela Szopos +1

Understanding human eye behavior involves intricate interactions between physical phenomena such as heat transfer and fluid dynamics. Accurate computational models are vital for co…

math.AP2024

Sharp blow-up stability for self-similar solutions of the modified Korteweg-de Vries equation

Simão Correia, Raphaël Côte

We consider the modified Korteweg-de Vries equation. Given a self-similar solution, and a subcritical perturbation of any size, we prove that there exists a unique solution to the…

math.CO2024

On a q-analogue of the Zeta polynomial of posets

Frédéric Chapoton

We introduce a q-analogue of the classical Zeta polynomial of finite partially ordered sets, as a polynomial in one variable x with coefficients depending on the indeterminate q. W…

math.AP2024

A scattering operator for some nonlinear elliptic equations

Raphaël Côte, Camille Laurent

We consider non linear elliptic equations of the form for suitable analytic nonlinearity , in the vinicity of infinity in , that is on the com…