AbstractIn answer to a question of Erdős, it is shown that, given any triangle, there exists a subset of the plane of Hausdorff dimension 2 that does not contain any similar copy of the vertex set of the triangle
We characterize the existence of certain geometric configurations in the fractal percolation limit s...
[EN] In this paper, we deal with a classical problem in Fractal Geometry consisting of the calculati...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
How many fractals exist in nature or the virtual world In this work, we partially answer the second ...
Thesis (Ph. D.)--University of Rochester. Department of Mathematics, 2020.We prove that fractal sets...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces a...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
AbstractLet φ:R→C be the Cannon–Thurston map associated to the Gieseking manifold; thus φ is also th...
Let $\De$ be a non-degenerate simplex on $k$ vertices. We prove that there exists a threshold $s_k<k...
We characterize the existence of certain geometric configurations in the fractal percolation limit s...
[EN] In this paper, we deal with a classical problem in Fractal Geometry consisting of the calculati...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
How many fractals exist in nature or the virtual world In this work, we partially answer the second ...
Thesis (Ph. D.)--University of Rochester. Department of Mathematics, 2020.We prove that fractal sets...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces a...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
AbstractLet φ:R→C be the Cannon–Thurston map associated to the Gieseking manifold; thus φ is also th...
Let $\De$ be a non-degenerate simplex on $k$ vertices. We prove that there exists a threshold $s_k<k...
We characterize the existence of certain geometric configurations in the fractal percolation limit s...
[EN] In this paper, we deal with a classical problem in Fractal Geometry consisting of the calculati...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
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