AbstractIn this work the radius of the n-Mandelbrot set is investigated for when n is a positive even integer
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of ratio...
In this thesis, we present a number of results, mostly concerning set systems that are antichains an...
A technique to compute fractal dimension as defined by the Kolmogorov capacity is discussed. The met...
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...
In this article the algorithm required for plotting the most famous picture of the Mandelbrot Set wa...
AbstractA useful formula is given for the coefficients of the conformal mapping from the unit disk o...
peer-reviewedWe provide an analytic estimate for the size of the bulbs adjoining the main cardioid o...
AbstractLet m and r be positive integers. Define f(m,r) to be the least positive integer N such that...
Based on the boundary scanning method, a partition of the boundary of the Mandelbrot set is defined....
AbstractWe construct finite sets in Rn, n⩾298, which cannot be partitioned into n+11 parts of smalle...
Using Gronwall's area theorem, the area of the Mandelbrot set was found to be approximately 1:7...
In the present work, the area of the generalized Mandelbrot sets is defined as the double limit of t...
Direct look at the celebrated "chaotic" Mandelbrot Set in Fig..\ref{Mand2} immediately reveals that ...
A set of points in d-dimensional Euclidean space is almost equidistant if among any three points of ...
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of ratio...
In this thesis, we present a number of results, mostly concerning set systems that are antichains an...
A technique to compute fractal dimension as defined by the Kolmogorov capacity is discussed. The met...
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...
In this article the algorithm required for plotting the most famous picture of the Mandelbrot Set wa...
AbstractA useful formula is given for the coefficients of the conformal mapping from the unit disk o...
peer-reviewedWe provide an analytic estimate for the size of the bulbs adjoining the main cardioid o...
AbstractLet m and r be positive integers. Define f(m,r) to be the least positive integer N such that...
Based on the boundary scanning method, a partition of the boundary of the Mandelbrot set is defined....
AbstractWe construct finite sets in Rn, n⩾298, which cannot be partitioned into n+11 parts of smalle...
Using Gronwall's area theorem, the area of the Mandelbrot set was found to be approximately 1:7...
In the present work, the area of the generalized Mandelbrot sets is defined as the double limit of t...
Direct look at the celebrated "chaotic" Mandelbrot Set in Fig..\ref{Mand2} immediately reveals that ...
A set of points in d-dimensional Euclidean space is almost equidistant if among any three points of ...
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of ratio...
In this thesis, we present a number of results, mostly concerning set systems that are antichains an...
A technique to compute fractal dimension as defined by the Kolmogorov capacity is discussed. The met...