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

12 citations

researchers with a paper here

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

collaborating institutions
Showing 2022Show all

19 papers · 1 filter

math.DS2022

Analytic normal forms for planar resonant saddle vector fields

Loïc Teyssier

We give essentially unique ``normal forms'' for germs of a holomorphic vector field of the complex plane in the neighborhood of an isolated singularity which is a p:q resonant-sadd…

math.AP2022

Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction

Raphaël Côte, Guillaume Ferriere

We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction , and which takes into account the Dzyaloshinskii-Moriya interaction. We cons…

math.CV2022

The Teichm{ü}ller-Randers metric

Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos

In this paper, we introduce a new asymmetric weak metric on the Teichm{ü}ller space of a closed orientable surface with (possibly empty) punctures.This new metric, which we call th…

math.HO2022

On Delisle's geographical projection

Charalampos Charitos, Athanase Papadopoulos

Joseph-Nicolas Delisle was one of the most important scientists at the Saint Petersburg Academy of Sciences during the first period when Euler was working there. Euler was helping…

math.CO2022★ 1 cited

Linear Intervals in the Tamari and the Dyck Lattices and in the alt-Tamari Posets

Clément Chenevière

We count the number of linear intervals in the Tamari and the Dyck lattices according to their height, using generating series and Lagrange inversion. Surprisingly, these numbers a…

math.AP2022

Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation

Raphaël Côte, Alexander Semenov

We consider multi-breathers of (mKdV). Previously, a smooth multi-breather was constructed, and proved to be unique in two cases: first, if the class of super-polynomial convergenc…

math.HO2022

Clairaut, Euler and the figure of the Earth

Athanase Papadopoulos

The sphericity of the form of the Earth was questioned around the year 1687, primarily, by Isaac Newton who deduced from his theory of universal gravitation that the Earth has the…

math.HO2022

Ren{é} Thom: From mathematics to philosophy

Athanase Papadopoulos

I discuss Ren{é} Thom's approach to philosophy based on his mathematical background. At the same time, I will highlight his connection with Aristotle, his criticism of the modern v…

math.AG2022

-modules holonomes sur une courbe formelle

Raoul Hallopeau

Let be a formal smooth curve over a complete discrete valuation ring of mixed characteristic . Let $\widehat{\mathcal{D}}^{(0)}_{\mathfrak{X},…

math.DG2022★ 1 cited

Generalizing Lusztig's total positivity

Olivier Guichard, Anna Wienhard

We introduce the notion of -positivity in real simple Lie groups. This notion at the same time generalizes Lusztig's total positivity in split real Lie groups and invariant orde…

math.PR2022

A probabilistic cellular automaton that admits no successful basic i.i.d. coupling

Jean Bérard

In this paper, we revisit a classic example of probabilistic cellular automaton (PCA) on {0, 1} Z , namely, addition modulo 2 of the states of the left-and right-neighbouring cells…

math.CO2022

Commutation relations of and the incidence geometry of the Fano plane

Michel Rausch de Traubenberg, M J Slupinski

We continue our study and classification of structures on the Fano plane and its dual involved in the construction of octonions and the Lie algebra $\mat…

math.AG2022

Fourier-Mukaï transform for -modules over formal abelian schemes

Florian Viguier

In 1996, Rothstein and Laumon simultaneously constructed a Fourier-Mukai transform for D-modules over a locally noetherian base of characteristic 0. This functor induces an equival…

math.AP2022

Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint

Yannick Privat, Rémi Robin, Mario Sigalotti

This article deals with the existence of hypersurfaces minimizing general shape functionals under certain geometric constraints. We consider as admissible shapes orientable hypersu…

q-fin.GN2022

Financial Markets and the Real Economy: A Statistical Field Perspective on Capital Allocation and Accumulation

Pierre Gosselin, Aïleen Lotz, Marc Wambst

This paper provides a general method to directly translate a classical economic framework with a large number of agents into a field-formalism model. This type of formalism allows…

math.DS2022

Dennis Sullivan: Mathematics and physics; manifold and space

Athanase Papadopoulos

This article is a personal overview of the work of Dennis Sullivan who was awarded the 2022 Abel prize. It was commissioned by the Bulletin of the (Indian) Mathematics Consortium,…

math.CO2022

Incidence geometry of the Fano plane and Freudenthal's ansatz for the construction of (split) octonions

Michel Rausch de Traubenberg, Marcus J. Slupinski

In this article we consider structures on a Fano plane which allow a generalisation of Freudenthal's construction of a norm and a bilinear multiplication law on an eight…

math.AT2022

On the functors associated with beaded open Jacobi diagrams

Christine Vespa

Morphisms in the linear category A of Jacobi diagrams in handlebodies give rise to interesting contravariant functors on the category gr of finitely-generated free groups, encoding…

math.AP2022

Perturbation at blow-up time of self-similar solutions for the modified Korteweg-de Vries equation

Simão Correia, Raphaël Côte

We prove a first stability result of self-similar blow-up for the modified KdV equation on the line. More precisely, given a self-similar solution and a sufficiently small regular…