W. de Melo

activity

19962026

most citedRigidity of critical circle maps

43 citations · 43 across the 2 of their papers we have counts for

collaborators

7 papers

math.DS2026

Blaschke-type models for multimodal circle maps

Edson de Faria, Welington de Melo, Pedro A. S. Salomão +1

For each integer $m \geq 1$ , we construct a finite-dimensional family of rational maps, given by Blaschke-type products, whose restriction to the unit circle consists of $2 m$ -multi…

math.DS2015★ 43 cited

Rigidity of critical circle maps

Pablo Guarino, Marco Martens, Welington de Melo

We prove that any two $C^{4}$ critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a $C^{1}$ circle diffeomorphism.…

math.DS2013

Rigidity of smooth critical circle maps

Pablo Guarino, Welington de Melo

We prove that any two $C^{3}$ critical circle maps with the same irrational rotation number of bounded type and the same odd criticality are conjugate to each other by a $C^{1 + α}$ ci…

math.DS1997

Rigidity of critical circle mappings, II

Edson de Faria, Welington de Melo

We prove that any two real-analytic critical circle maps with cubic critical point and the same irrational rotation number of bounded type are $C^{1 + α}$ conjugate for some $α > 0$ .

math.DS1997

Rigidity of critical circle mappings, I

Edson de Faria, Welington de Melo

We prove that two $C^{r}$ critical circle maps with the same rotation number of bounded type are $C^{1 + α}$ conjugate for some $α > 0$ provided their successive renormalizations converg…

math.DS1997

The multipliers of periodic points in one-dimensional dynamics

Marco Martens, Welington de Melo

It will be shown that the smooth conjugacy class of an $S -$ unimodal map which does not have a periodic attractor neither a Cantor attractor is determined by the multipliers of the…