S. Bonnot

activity

20102019

collaborators

6 papers

math.GT2019

Limits of sequences of pseudo-Anosov maps and of hyperbolic 3-manifolds

Sylvain Bonnot, André de Carvalho, Juan González-Meneses +1

There are two objects naturally associated with a braid $β \in B_{n}$ of pseudo-Anosov type: a (relative) pseudo-Anosov homeomorphism $φ_{β} : S^{2} \to S^{2}$ ; and the finite volume com…

math.DS2016

Julia sets for Fibonacci endomorphisms of $C^{2}$ and $R^{2}$

S. Bonnot, A. de Carvalho, A. Messaoudi

We study the dynamics of the family $f_{c} (x, y) = (x y + c, x)$ of endomorphisms of $R^{2}$ and $C^{2}$ , where $c$ is a real or complex parameter. Such maps can be seen as…

math.DS2013

On the Fibonacci complex dynamical systems

El Houcein El Abdalaoui, Sylvain Bonnot, Ali Messaoudi +1

We consider in this paper a sequence of complex analytic functions constructed by the following procedure $f_{n} (z) = f_{n - 1} (z) f_{n - 2} (z) + c$ , where $c\in\C$ is a parameter. Our aim is…

math.DS2011

Geometrization of postcritically finite branched coverings (revised)

Sylvain Bonnot, Michael Yampolsky

We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K. Pilgrim. We show that every hyperbolic cycle in the decomposition do…

math.DS2010

Geometrization of postcritically finite branched coverings

Sylvain Bonnot, Michael Yampolsky

We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K.~Pilgrim. We show that every hyperbolic cycle in the decomposition do…

math.DS2010

Thurston equivalence to a rational map is decidable

Sylvain Bonnot, Mark Braverman, Michael Yampolsky

We demonstrate that the question whether or not a given postcritically finite topological ramified covering map of the 2-sphere is Thurston equivalent to a rational map is algorith…