We study the growth of Df `` (f(c)) when f is a Fibonacci critical covering map of the circle with negative Schwarzian derivative, degree d >= 2 and critical point c of order l > 1. As an application we prove that f exhibits ...

On the persistence of invariant curves for smooth fibred holomorphic dynamics We establish the persistence of an invariant curve for a smooth fibered holomorphic dynamical system, provided that a diophantine condition for ...

For an observer in the Hubble flow, the last scattering surface (LSS) is well approximated by a 2-sphere. If a non-trivial topology of space is detectable, then this sphere intersects some of its topological images, ...

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 renormalizations of generalized interval exchange maps ...

Szego{double acute} has shown that real orthogonal polynomials on the unit circle can be mapped to orthogonal polynomials on the interval [-1,1] by the transformation 2x=z+z-1. In the 80's and 90's Delsarte and Genin showed ...

Szego{double acute} has shown that real orthogonal polynomials on the unit circle can be mapped to orthogonal polynomials on the interval [-1,1] by the transformation 2x=z+z-1. In the 80's and 90's Delsarte and Genin showed ...

A Teichmüller like structure on the space of d-degree holomorphic maps on the circle S1, marked by conjugations to the map z 7→ z d, can be defined. Here we introduce a definition of free energy associated to this kind of ...

We find conditions for two piecewise 'C POT.2+V' homeomorphisms f and g of the circle to be 'C POT.1' conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), ...

The article deals with singular perturbation of polynomial maps R-lambda,R- n(z) = z(n) + lambda/z, where lambda is a complex parameter and n is the degree, which is a particular case of the family of rational maps known ...