One of the most important open problems in computable complex dynamics is whether the Mandelbrot set can be computed with arbitrary precision. We will review what is known about this question, and present a recent negative result for a Mandelbrot-like set associated with a one-parameter cubic (instead of quadratic) family. This is joint work with Coronel and Yampolsky.Non UBCUnreviewedAuthor affiliation: Universidad Nacional Andres BelloFacult
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
Non-random complicated motions can exhibit a very rapid growth of errors and, despite perfect determ...
A complex point z0 is in the famous Mandelbrot Set fractal when an iterative process applied to z0 a...
A complex point Z0 is defined to be a member of the famous Mandelbrot set fractal when the iterative...
With computers, we are able to construct complicated fractal im-ages that describe the dynamics of c...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
Agraïments: The second author is partially supported by the Polish NCN grant decision DEC-2012/06/M/...
The classic Mandelbrot set gives information about the behavior of points under the iteration, or re...
This dissertation focuses on two problems in complex dynamics. The first relates to Newton\u27s meth...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of ratio...
We investigate with the help of Clifford algebraic methods the Mandelbrot set over arbitrary two-com...
The Mandelbrot set of the quadratic polynomial pc(z)=z^2+c is the set of those values c such that th...
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
Non-random complicated motions can exhibit a very rapid growth of errors and, despite perfect determ...
A complex point z0 is in the famous Mandelbrot Set fractal when an iterative process applied to z0 a...
A complex point Z0 is defined to be a member of the famous Mandelbrot set fractal when the iterative...
With computers, we are able to construct complicated fractal im-ages that describe the dynamics of c...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
Agraïments: The second author is partially supported by the Polish NCN grant decision DEC-2012/06/M/...
The classic Mandelbrot set gives information about the behavior of points under the iteration, or re...
This dissertation focuses on two problems in complex dynamics. The first relates to Newton\u27s meth...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of ratio...
We investigate with the help of Clifford algebraic methods the Mandelbrot set over arbitrary two-com...
The Mandelbrot set of the quadratic polynomial pc(z)=z^2+c is the set of those values c such that th...
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
In complex dynamics we compose a complex valued function with itself repeatedly and observe the orbi...
Non-random complicated motions can exhibit a very rapid growth of errors and, despite perfect determ...
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