Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Chéritat, Arnaud"'
Autor:
Chéritat, Arnaud, Tahar, Guillaume
For a smooth manifold endowed with a (similarity) pseudo-Euclidean structure, a stiff connection $\nabla$ is a symmetric affine connection such that geodesics of $\nabla$ are straight lines of the pseudo-Euclidean structure while the first-order infi
Externí odkaz:
http://arxiv.org/abs/2302.12543
Autor:
Chéritat, Arnaud, Tahar, Guillaume
This article studies a particular process that approximates solutions of the Beltrami equation (straightening of ellipse fields, a.k.a. measurable Riemann mapping theorem) on $\mathbb{C}$. It passes through the introduction of a sequence of similarit
Externí odkaz:
http://arxiv.org/abs/2212.12614
Autor:
Chéritat, Arnaud
We study the slices of the parameter space of cubic polynomials where we fix the multiplier of a fixed point to some value $\lambda$. The main object of interest here is the radius of convergence of the linearizing parametrization. The opposite of it
Externí odkaz:
http://arxiv.org/abs/2003.13337
We prove the existence of Siegel disks with smooth boundaries in most families of holomorphic maps fixing the origin. The method can also yield other types of regularity conditions for the boundary. The family is required to have an indifferent fixed
Externí odkaz:
http://arxiv.org/abs/1911.10056
Publikováno v:
Nonlinearity , 34 (2021), 2430-2453
A cubic polynomial $f$ with a periodic Siegel disk containing an eventual image of a critical point is said to be a \emph{Siegel capture polynomial}. If the Siegel disk is invariant, we call $f$ a \emph{IS-capture polynomial} (or just an IS-capture;
Externí odkaz:
http://arxiv.org/abs/1809.02586
Autor:
Chéritat, Arnaud, Rousseau, Chrisitane
We describe the equivalence classes of germs of generic 1-parameter families of complex vector fields z dot = omega_epsilon(z) on C unfolding a singular point of multiplicity k+1: omega_0 = z^{k+1} + o(z^{k+1}). The equivalence is under conjugacy by
Externí odkaz:
http://arxiv.org/abs/1701.03276
Autor:
Chéritat, Arnaud
We present a (possibly) new sphere eversion based on the contractibility* of a certain subset of the space of immersions of the circle in the plane. (*: by strong deformation retraction)
Comment: 16 pages, 7 figures. This version has the followi
Comment: 16 pages, 7 figures. This version has the followi
Externí odkaz:
http://arxiv.org/abs/1410.4417
Autor:
Chéritat, Arnaud
Tout le contenu de ce mémoire est un travail en commun de l'auteur et de Xavier Buff.Pour theta nombre de Brjuno, soit r(theta) le rayon conforme du disque de Siegel de P_theta(z)=exp(i.2.pi.theta)z+z^2 et Phi(theta) la variante due à Yoccoz de la
Autor:
Chéritat, Arnaud
Inou and Shishikura provided a class of maps that is invariant by near-parabolic renormalization, and that has proved extremely useful in the study of the dynamics of quadratic polynomials. We provide here another construction, using more general arg
Externí odkaz:
http://arxiv.org/abs/1404.4735
Autor:
Chéritat, Arnaud
We give a proof of a phenomenon conjectured in our former article: "Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a worked out example of straightening". We also start an abstract discussion of the notion of limits of Riemann s
Externí odkaz:
http://arxiv.org/abs/1311.7520