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.

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15 papers · 1 filter

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.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.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.DS2020

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…

math.DS2019

Vector fields and genus in dimension 3

Pierre Dehornoy, Ana Rechtman

Given a flow on a 3-dimensional integral homology sphere, we give a formula for the Euler characteristic of its transverse surfaces, in terms of boundary data only. We illustrate t…

math.DS2018

Analytic normal forms and inverse problems for unfoldings of 2-dimensional saddle-nodes with analytic center manifold

C. Rousseau, Loïc Jean Dit Teyssier

We give normal forms for generic k-dimensional parametric families of germs of holomorphic vector fields near unfolding a saddle-no…

math.DS2017

Doubly-resonant saddle-nodes in (C^3,0) and the fixed singularity at infinity in Painlev{é} equations: analytic classification

Amaury Bittmann

In this work, we consider germs of analytic singular vector elds in (C^3,0) with an isolated and doubly-resonant singularity of saddle-node type at the origin. Such vector elds com…

math.DS2010★ 3 cited

Développements asymptotiques combinés et points tournants d'équations différentielles singulièrement perturbées

Augustin Fruchard, Reinhard Schäfke

We develop the theory of a new type of asymptotic expansions for functions of two variables the coefficients of which contain functions of one of the variables as well as functions…

math.DS2010

Développements asymptotiques combinés et points tournants d'équations différentielles singulièrement perturbées

Augustin Fruchard, Reinhard Schäfke

We develop the theory of a new type of asymptotic expansions for functions of two variables the coefficients of which contain functions of one of the variables as well as functions…

math.DS2009★ 7 cited

Entropies of compact strictly convex projective manifolds

Mickaël Crampon

Let M be a compact manifold of dimension n with a strictly convex projective structure. We consider the geodesic flow of the Hilbert metric on it, which is known to be Anosov. We p…

math.DS2008★ 1 cited

On the distance between separatrices for the discretized pendulum equation

Hocine Sellama

We consider the discretization q(t+ε)+q(t-ε)-2q(t)=ε^{2}\sin\big(q(t)\big), a small parameter, of the pendulum equation ; in system form, we have the discr…

math.DS2007

On the distance between separatrices for the discretized logistic differential equation

Hocine Sellama

We consider the discretization y(t+ε)=y(t-ε)+2ε\big(1-y(t)^{2}\big), a small parameter, of the logistic differential equation , which can also be seen…

math.DS2007

Analytical moduli for unfoldings of saddle-node vector fields

Christiane Rousseau, Loïc Teyssier

In this paper we consider germs of k-parameter generic families of analytic 2-dimensional vector fields unfolding a saddle-node of codimension k and we give a complete modulus of a…

math.DS2005★ 1 cited

On orbit equivalence of quasiconformal Anosov flows

Yong Fang

In this article, we give a quasi-final classification of quasiconformal Anosov flows. We deduce a very interesting differentable rigidity result for the orbit foliations of hyperbo…

math.DS2005

Pressure rigidity of three dimensional contact Anosov flows

Yong Fang

We study the cohomological pressure introduced by R.Sharp (defined by using topological pressures of certain potentials of Anosov flows). In particular, we get the rigidity in the…