AbstractIn this work the radius of the n-Mandelbrot set is investigated for when n is a positive even integer
AbstractLet δ(n) denote the minimum diameter of a set of n points in the plane in which any two posi...
We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelb...
We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelb...
AbstractIn this work the radius of the n-Mandelbrot set is investigated for when n is a positive eve...
Introduction. In considering the iteration of quadratic polynomials P c (z) = z 2 + c, where we d...
Based on the boundary scanning method, a partition of the boundary of the Mandelbrot set is defined....
In the present work, the area of the generalized Mandelbrot sets is defined as the double limit of t...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
Abstract. We investigate one-parameter analytic maps from the complex plane onto itself. We approxim...
The quaternionic Mandelbrot set (L'ensemble de Mandelbrot dans le corps des quaternions
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
AbstractLet a1, a2,…, an be natural numbers, and let S be the set of integer coordinate n-vectors wh...
Using Gronwall's area theorem, the area of the Mandelbrot set was found to be approximately 1:7...
A technique to compute fractal dimension as defined by the Kolmogorov capacity is discussed. The met...
Abstract. Let f(z) = zd + ad−1zd−1 + · · · + a1z ∈ Cp[z] be a degree d polynomial. We say f is po...
AbstractLet δ(n) denote the minimum diameter of a set of n points in the plane in which any two posi...
We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelb...
We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelb...
AbstractIn this work the radius of the n-Mandelbrot set is investigated for when n is a positive eve...
Introduction. In considering the iteration of quadratic polynomials P c (z) = z 2 + c, where we d...
Based on the boundary scanning method, a partition of the boundary of the Mandelbrot set is defined....
In the present work, the area of the generalized Mandelbrot sets is defined as the double limit of t...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
Abstract. We investigate one-parameter analytic maps from the complex plane onto itself. We approxim...
The quaternionic Mandelbrot set (L'ensemble de Mandelbrot dans le corps des quaternions
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
AbstractLet a1, a2,…, an be natural numbers, and let S be the set of integer coordinate n-vectors wh...
Using Gronwall's area theorem, the area of the Mandelbrot set was found to be approximately 1:7...
A technique to compute fractal dimension as defined by the Kolmogorov capacity is discussed. The met...
Abstract. Let f(z) = zd + ad−1zd−1 + · · · + a1z ∈ Cp[z] be a degree d polynomial. We say f is po...
AbstractLet δ(n) denote the minimum diameter of a set of n points in the plane in which any two posi...
We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelb...
We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelb...