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- Université Toulouse III - Paul SabatierFR936 papers
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6 papers · 2 filters
Herman's condition and critical points on the boundary of Siegel disks of polynomials with two critical values
Arnaud Chéritat, Pascale Roesch
We extend a theorem of Herman from the case of unicritical polynomials to the case of polynomials with two finite critical values. This theorem states that Siegel disks of such pol…
Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus one
Xavier Bressaud, Alexander I. Bufetov, Pascal Hubert
Deviation of ergodic sums is studied for substitution dynamical systems with a matrix that admits eigenvalues of modulus 1. We consider the corresponding eigenfunctions, and in The…
On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields
Lubomir Gavrilov
We prove that every heteroclinic saddle loop (a two-saddle cycle) occurring in an analytic finite-parameter family of plane analytic vector fields, may generate no more than a fini…
Böttcher coordinates
Xavier Buff, Adam Epstein, Sarah Koch
A well-known theorem of Böttcher asserts that an analytic germ f:(C,0)->(C,0) which has a superattracting fixed point at 0, more precisely of the form f(z) = az^k + o(z^k) for some…
The Weinstein conjecture in the presence of submanifolds having a Legendrian foliation
Klaus Niederkrüger, Ana Rechtman
Helmut Hofer introduced in '93 a novel technique based on holomorphic curves to prove the Weinstein conjecture. Among the cases where these methods apply are all contact 3--manifol…
Minimal Ahlfors regular conformal dimension of coarse conformal dynamics on the sphere
Peter Haïssinsky, Kevin M. Pilgrim
We prove that if the Ahlfors regular conformal dimension of a topologically cxc map on the sphere is realized by some metric on , then either Q=2 and…