Abstract“Percolation dimension” is introduced in this note. It characterizes certain fractals and its definition is based on the Hausdorff dimension. It is shown that percolation dimension and “boundary dimension” are in a sense independent from the Hausdorff dimension and, therefore, privide an additional tool for classification of fractals
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
We introduce a technique that uses projection properties of fractal percolation to establish dimensi...
The Weierstrass-Mandelbrot (W-M) function was first used as an example of a real function which is c...
Abstract“Percolation dimension” is introduced in this note. It characterizes certain fractals and it...
Abstract. We introduce a new concept of dimension for metric spaces, the so called topological Hausd...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
We relate various concepts of fractal dimension of the limiting set in fractal percolation to the di...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Fractal geometry consists in the study of shapes established by simple or complex re cursive process...
How many fractals exist in nature or the virtual world In this work, we partially answer the second ...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
Abstract We study the porosity properties of fractal percolation sets E ⊂ Rd. Among other things, f...
The basic 'fractal percolation' process was first proposed by Mandelbrot in 1974 and takes the follo...
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
We introduce a technique that uses projection properties of fractal percolation to establish dimensi...
The Weierstrass-Mandelbrot (W-M) function was first used as an example of a real function which is c...
Abstract“Percolation dimension” is introduced in this note. It characterizes certain fractals and it...
Abstract. We introduce a new concept of dimension for metric spaces, the so called topological Hausd...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
We relate various concepts of fractal dimension of the limiting set C in fractal percolation to the ...
We relate various concepts of fractal dimension of the limiting set in fractal percolation to the di...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Fractal geometry consists in the study of shapes established by simple or complex re cursive process...
How many fractals exist in nature or the virtual world In this work, we partially answer the second ...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
Abstract We study the porosity properties of fractal percolation sets E ⊂ Rd. Among other things, f...
The basic 'fractal percolation' process was first proposed by Mandelbrot in 1974 and takes the follo...
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
We introduce a technique that uses projection properties of fractal percolation to establish dimensi...
The Weierstrass-Mandelbrot (W-M) function was first used as an example of a real function which is c...
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