We generalize a combinatorial formula of Douady from the main cardioid to other hyperbolic components H of the Mandelbrot set, constructing an explicit piecewise linear map which sends the set of angles of external rays landing on H to the set of angles of external rays landing on the real axis
The iteration of complex function can generate beautiful fractal images. This paper presents a novel...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
AbstractA useful formula is given for the coefficients of the conformal mapping from the unit disk o...
We give a new proof that all external rays of the Mandelbrot set at rational angles land, and of the...
Abstract In this paper, we give a brief overview of the geometry of the Mandelbrot set. We show how ...
The Mandelbrot set M is a subset of the parameter plane for iteration of the complex quadratic polyn...
13 pages, 16 figures.-- Printed version published on Jun 2004.Near to the cusp of a cardioid of the ...
En este trabajo de grado se muestra una introducción a los sistemas dinámicos, a través del estudio...
We consider the complex dynamics of a one parameter family of polynomials of type Ed [1], as fc(z) ...
Non-random complicated motions can exhibit a very rapid growth of errors and, despite perfect determ...
This paper will investigate a method for seeing the internal structure of individual hyperbolic comp...
International audienceWe describe an interesting interplay between symbolic dynamics, the structure ...
Understanding the geometry of the Mandelbrot set has been a central pillar of holomorphic dynamics o...
This work reports on a study of the Mandelbrot set and Julia set for a generalization of the well-ex...
We study renormalizability of external angles of the Mandelbrot set M. Estimates are made of the log...
The iteration of complex function can generate beautiful fractal images. This paper presents a novel...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
AbstractA useful formula is given for the coefficients of the conformal mapping from the unit disk o...
We give a new proof that all external rays of the Mandelbrot set at rational angles land, and of the...
Abstract In this paper, we give a brief overview of the geometry of the Mandelbrot set. We show how ...
The Mandelbrot set M is a subset of the parameter plane for iteration of the complex quadratic polyn...
13 pages, 16 figures.-- Printed version published on Jun 2004.Near to the cusp of a cardioid of the ...
En este trabajo de grado se muestra una introducción a los sistemas dinámicos, a través del estudio...
We consider the complex dynamics of a one parameter family of polynomials of type Ed [1], as fc(z) ...
Non-random complicated motions can exhibit a very rapid growth of errors and, despite perfect determ...
This paper will investigate a method for seeing the internal structure of individual hyperbolic comp...
International audienceWe describe an interesting interplay between symbolic dynamics, the structure ...
Understanding the geometry of the Mandelbrot set has been a central pillar of holomorphic dynamics o...
This work reports on a study of the Mandelbrot set and Julia set for a generalization of the well-ex...
We study renormalizability of external angles of the Mandelbrot set M. Estimates are made of the log...
The iteration of complex function can generate beautiful fractal images. This paper presents a novel...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
AbstractA useful formula is given for the coefficients of the conformal mapping from the unit disk o...
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