Add to ORKGDie Arbeit untersucht die Geometrie selbstähnlicher Mengen endlichen Typs, indem die möglichen Nachbarschaften kleiner Teile klassifiziert und ihr Zusammenhang untersucht werden. Anwendungen sind die Dimension von selbstähnlichen Maßen und überlappenden Konstruktionen sowie die Bestimmung von Zusammenhangseigenschaften.Neighbor concepts have been under research for many years in fractal analysis. This thesis aims to study them systematically and apply them to calculate local measures of self-similar measure, Hausdorff dimension of some self-similar sets with exact overlaps, and to give a condition for connectedness of fractal tiles
We introduce a technique that uses projection properties of fractal percolation to establish dimensi...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
summary:In some recent work, fractal curvatures $C^f_k(F)$ and fractal curvature measures $C^f_k(F,\...
Abstract: Locally finite self-similar graphs with bounded geometry and without bounded geometry as w...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
We introduce a technique that uses projection properties of fractal percolation to establish dimensi...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
summary:In some recent work, fractal curvatures $C^f_k(F)$ and fractal curvature measures $C^f_k(F,\...
Abstract: Locally finite self-similar graphs with bounded geometry and without bounded geometry as w...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
We introduce a technique that uses projection properties of fractal percolation to establish dimensi...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...