23 citations · 25 across the 5 of their papers we have counts for
5 papers
Piecewise continuous and monotonic maps on the interval
Kleyber Cunha, Marcio Gouveia, Paulo Santana
Let be a piecewise continuous and monotonic map on the interval with at most finitely many discontinuities and turning points. In this paper we study properties about this clas…
On the convergence of renormalizations of piecewise smooth homeomorphisms on the circle
Abdumajid Begmatov, Kleyber Cunha
We study renormalizations of piecewise smooth homeomorphisms on the circle, by considering such maps as generalized interval exchange maps of genus one. Suppose that is absolu…
On the renormalizations of circle homeomorphisms with several break points
Kleyber Cunha, Akhtam Dzhalilov, Abdumajid Begmatov
Let be an orientation preserving homeomorphisms on the circle with several break points, that is, its derivative has jump discontinuities at these points. We study Rauzy-V…
Rigidity for piecewise smooth homeomorphisms on the circle
Kleyber Cunha, Daniel Smania
We find conditions for two piecewise C^{2+ν} homeomorphisms f and g of the circle to be C^1 conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the…
Renormalization for piecewise smooth homeomorphisms on the circle
Kleyber Cunha, Daniel Smania
In this work we study the renormalization operator acting on piecewise smooth homeomorphisms on the circle, that turns out to be essentially the study of Rauzy-Veech renormalizatio…