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
16 papers · 1 filter
Spectral asymptotics for the vectorial damped wave equation
Guillaume Klein
The eigenfrequencies associated to a scalar damped wave equation are known to belong to a band parallel to the real axis. In [Sj{ö}00] J. Sj{ö}strand showed that up to a set of den…
The infinitesimal and global Thurston geometry of Teichm{ü}ller space
Yi Huang, Ken'Ichi Ohshika, Athanase Papadopoulos
We undertake a systematic study of the infinitesimal geometry of the Thurston metric, showing that the topology, convex geometry and metric geometry of the tangent and cotangent sp…
Orbital Stability Of A Sum Of Solitons And Breathers Of The Modified Korteweg-de Vries Equation
Alexander Semenov
In this article, we prove that a sum of solitons and breathers of the modified Korteweg-de Vries equation (mKdV) is orbitally stable. The orbital stability is shown in H^2. More pr…
Rating transitions forecasting: a filtering approach
Areski Cousin, Jérôme Lelong, Tom Picard
Analyzing the effect of business cycle on rating transitions has been a subject of great interest these last fifteen years, particularly due to the increasing pressure coming from…
Multiple -values with one parameter
Frédéric Chapoton
This article introduces an algebra of functions in one variable defined by iterated integrals of two specific differential forms depending on , where the product is the shuf…
Minimal stretch maps between Euclidean triangle?
Ismail Saglam, Athanase Papadopoulos
Given two triangles whose angles are all acute, we find a homeomorphism with the smallest Lipschitz constant between them and we give a formula for the Lipschitz constant of this m…
On existence and uniqueness of asymptotic -soliton-like solutions of the nonlinear klein-gordon equation
Xavier Friederich
We are interested in solutions of the nonlinear Klein-Gordon equation (NLKG) in , , which behave as a soliton or a sum of solitons in large time. In the sp…
On the homological interpretation of the prounipotent completion of the fundamental group
Benjamin Enriquez, Florence Lecomte
We recall the cohomological interpretation of the unipotent quotients of the fundamental groupoid of an algebraic complex variety (Beilinson, Deligne-Goncharov). We then give a con…
Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate
Idriss Mazari, Grégoire Nadin, Yannick Privat
In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from t…
On absolutely continuous curves in the Wasserstein space over R and their representation by an optimal Markov process
Charles Boubel, Nicolas Juillet
Let = (t)tR be a 1-parameter family of probability measures on R. In [11] we introduced its ``Markov-quantile''process: a process X= (Xt)tR that resembles as much…
Cartan connections and path structures with large automorphisms groups
Elisha Falbel, Martin Mion-Mouton, Jose Miguel Veloso
We classify compact manifolds of dimension three equipped with a path structure and a fixed contact form (which we refer to as a strict path structure) under the hypothesis that th…
The inverse spectral problem for quantum semitoric systems
Yohann Le Floch, San Vũ Ngoc
Given a quantum semitoric system composed of pseudodifferential operators, Berezin-Toeplitz operators, or a combination of both, we obtain explicit formulas for recovering, from th…
Ideal triangles, hyperbolic surfaces and the Thurston metric on Teichm{ü}ller space
Athanase Papadopoulos
These are notes on the hyperbolic geometry of surfaces, Teichm{ü}ller spaces and Thurston's metric on these spaces. They are associated with lectures I gave at the Morningside Cent…
On the relations between the zeros of a polynomial and its Mahler measure
Myrial Ounaies, Georges Rhin, Jean Marc Sac-Épée
In this work, we are dealing with some properties relating the zeros of a polynomial and its Mahler measure. We provide estimates on the number of real zeros of a polynomial, lower…
Math{é}matiques, musique et cosmologie : A partir du Tim{é}e de Platon
Athanase Papadopoulos
Based on Plato's Timaeus, we present some reflections on music, cosmology and mathematics and their mutual influence.The article is dedicated to the composer Walter Zimmermann. The…
Uncertainty propagation and sensitivity analysis: results from the Ocular Mathematical Virtual Simulator
Christophe Prud'Homme, Lorenzo Sala, Marcela Szopos
We propose an uncertainty propagation study and a sensitivity analysis with the Ocular Mathematical Virtual Simulator, a computational and mathematical model that predicts the hemo…