Add to ORKGIn this paper we construct a correspondence between the parameter spaces of two families of one-dimensional dynamical systems, the α-continued fraction transformations Tα and unimodal maps. This correspondence identifies bifurcation parameters in the two families, and allows one to transfer topological and metric properties from one setting to the other. As an application, we recover results about the real slice of the Mandelbrot set, and the set of univoque numbers
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
This work is concerned with the study of the uni modal and bimodal families of maps in the interval....
The pourpose of the present memory is study the bifurcations and the symbolic dynamics of bimodal de...
In this paper we construct a correspondence between the parameter spaces of two families of one-dime...
We study the dynamics of a family Kαof discontinuous interval maps whose (infinitely many) branches ...
We study the dynamics of a family Kα of discontinuous interval maps whose (infinitely many) branches...
As a natural counterpart to Nakada's α-continued fraction maps, we study a one-parameter family of c...
Abstract. We study a two-parameter family of one-dimensional maps and the related (a, b)-continued f...
Abstract. For a real number 0 < λ < 2, we introduce a transformation Tλ naturally associated t...
Iterations of odd piecewise continuous maps with two discontinuities, i.e., symmetric discontinuous ...
This dissertation is a study of the dynamics of one-dimensional unimodal maps and is mainly concerne...
de Theorie Ergodique II \ Luminy, April 2006. They focus on the properties of uni-modal maps, their ...
These notes focus on the properties of unimodal maps, their description in terms of kneading maps, a...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recentl...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
This work is concerned with the study of the uni modal and bimodal families of maps in the interval....
The pourpose of the present memory is study the bifurcations and the symbolic dynamics of bimodal de...
In this paper we construct a correspondence between the parameter spaces of two families of one-dime...
We study the dynamics of a family Kαof discontinuous interval maps whose (infinitely many) branches ...
We study the dynamics of a family Kα of discontinuous interval maps whose (infinitely many) branches...
As a natural counterpart to Nakada's α-continued fraction maps, we study a one-parameter family of c...
Abstract. We study a two-parameter family of one-dimensional maps and the related (a, b)-continued f...
Abstract. For a real number 0 < λ < 2, we introduce a transformation Tλ naturally associated t...
Iterations of odd piecewise continuous maps with two discontinuities, i.e., symmetric discontinuous ...
This dissertation is a study of the dynamics of one-dimensional unimodal maps and is mainly concerne...
de Theorie Ergodique II \ Luminy, April 2006. They focus on the properties of uni-modal maps, their ...
These notes focus on the properties of unimodal maps, their description in terms of kneading maps, a...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recentl...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
This work is concerned with the study of the uni modal and bimodal families of maps in the interval....
The pourpose of the present memory is study the bifurcations and the symbolic dynamics of bimodal de...