12 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut de Recherche Mathématique AvancéeFR147 papers
- Université de StrasbourgFR9 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Laboratoire Jacques-Louis LionsFR8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR6 papers
- Laboratoire de Mathématiques Jean LerayFR5 papers
- Université de LorraineFR5 papers
- Université Paris CitéFR5 papers
- Institut Élie Cartan de LorraineFR4 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Laboratoire de Mathématiques Raphaël SalemFR4 papers
18 papers · 1 filter
Moments of q-Jacobi Polynomials and q-Zeta Values
Frédéric Chapoton, Christian Krattenthaler, Jiang Zeng
We explore some connections between moments of rescaled little q-Jacobi polynomials, q-analogues of values at negative integers for some Dirichlet series, and the q-Eulerian polyno…
Insensitizing controls for the heat equation with respect to boundary variations
Sylvain Ervedoza, Pierre Lissy, Yannick Privat
This article is dedicated to insensitization issues of a quadratic functional involving the solution of the linear heat equation with respect to domains variations. This work can b…
Optimization of spatial control strategies for population replacement, application to Wolbachia
Michel Duprez, Romane Hélie, Yannick Privat +1
In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread…
Optimal control strategies for the sterile mosquitoes technique
Luís Almeida, Michel Duprez, Yannick Privat +1
Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile in…
A Pirashvili-type theorem for functors on non-empty finite sets
Geoffrey Powell, Christine Vespa
Pirashvili's Dold-Kan type theorem for finite pointed sets follows from the identification in terms of surjections of the morphisms between the tensor powers of a functor playing t…
Quantum propagation for Berezin-Toeplitz operators
Laurent Charles, Yohann Le Floch
We describe the asymptotic behaviour of the quantum propagator generated by a Berezin-Toeplitz operator with real-valued principal symbol. We also give precise asymptotics for smoo…
Map drawing and foliations of the sphere
Athanase Papadopoulos
I will consider some questions related to Euler's work on cartography and its consequences, in which the foliations of the sphere by meridians and parallels play important roles.
Messiaen et les mathématiques
Athanase Papadopoulos
We review some of Olivier Messiaen's use of mathematics in his composition and his theoretical writings. The final version of this paper appeared in the book Twentieth-Century Musi…
Non dispersive solutions of the generalized KdV equations are typically multi-solitons
Xavier Friederich
We consider solutions of the generalized Korteweg-de Vries equations (gKdV) which are non dispersive in some sense (in the spirit of [18]) and which remain close to multi-solitons.…
Optimal immunity control by social distancing for the SIR epidemic model
Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat +1
Until a vaccine or therapy is found against the SARS-CoV-2 coronavirus, reaching herd immunity appears to be the only mid-term option. However, if the number of infected individual…
On good universality and the Riemann hypothesis
Jean-Louis Verger-Gaugry, Radhakrishnan Nair, Michel Weber
We use subsequence and moving average ergodic theorems applied to Boole's transformation and its variants and their invariant measures on the real line to give new characterisation…
Asymptotic K-soliton-like Solutions of the Zakharov-Kuznetsov type equations
Frédéric Valet
We study here the Zakharov-Kuznetsov equation in dimension and and the modified Zakharov-Kuznetsov equation in dimension . Those equations admit solitons, characterized…
Minimal cost-time strategies for population replacement using the IIT
Luis Almeida, Jesús Bellver, Michel Duprez +1
Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effectiv…
Observability for generalized Schrödinger equations and quantum limits on product manifolds
Emmanuel Humbert, Yannick Privat, Emmanuel Trélat
Given a closed product Riemannian manifold N = M x M equipped with the product Riemannian metric g = h + h , we explore the observability properties for the generalized Schr{ö}ding…
SubRiemanniann structures do not satisify Riemannian Brunn--Minkowski inequalities
Nicolas Juillet
We prove that no Brunn--Minkowski inequality from the Riemannian theories of curvature-dimension and optimal transportation can by satisfied by a strictly subRiemannian structure.…
Polynomial Growth of high Sobolev Norms of solutions to the Zakharov-Kuznetsov Equation
Raphaël Cote, Frédéric Valet
We consider the Zakharov-Kuznetsov equation (ZK) in space dimension 2. Solutions u with initial data u\_0 H s are known to be global if s 1. We prove that for any integ…
A note on Nicolas-Auguste Tissot: At the origin of quasiconformal mappings (to appear in Vol. VII of the Handbook of Teichm{ü}ller Theory)
Athanase Papadopoulos
Nicolas-Auguste Tissot (1824--1897) was a French mathematician and cartographer. He introduced a tool which became known among geographers under the name ``Tissot indicatrix'', and…
On the existence of supporting broken book decompositions for contact forms in dimension 3
Vincent Colin, Pierre Dehornoy, Ana Rechtman
We prove that in dimension 3 every nondegenerate contact form is carried by a broken book decomposition. As an application we get that if M is a closed irreducible oriented 3-manif…