Using methods from ergodic theory along with properties of the Furstenberg measure we obtain conditions under which certain classes of plane self-affine sets have Hausdorff or box-counting dimensions equal to their affinity dimension. We exhibit some new specific classes of self-affine sets for which these dimensions are equal
We consider a class of planar self-affine sets which we call 'box-like'. A boxlike self-affine set i...
We consider a class of planar self-affine sets which we call 'box-like'. A boxlike self-affine set i...
We consider a class of planar self-affine sets which we call “box-like”. A box-like self-affine set ...
Using methods from ergodic theory along with properties of the Furstenberg measure we obtain conditi...
Using methods from ergodic theory along with properties of the Furstenberg measure we obtain conditi...
Under mild conditions we show that the affinity dimension of a planar self-affine set is equal to th...
Under mild conditions we show that the affinity dimension of a planar self-affine set is equal to th...
Under mild conditions we show that the affinity dimension of a planar self-affine set is equal to t...
Let $X=\bigcup\varphi_i(X)$ be a strongly separated self-affine set in $\mathbb{R}^2$ (or one satisf...
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number o...
Journal PaperA lower bound of the Hausdorff dimension of certain self-affine sets is given. Moreover...
We study the Lq-dimensions of self-affine measures and the Käenmäki measure on a class of self-affin...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
We study the Lq-dimensions of self-affine measures and the Käenmäki measure on a class of self-affin...
We consider a class of planar self-affine sets which we call 'box-like'. A box-like self-affine set ...
We consider a class of planar self-affine sets which we call 'box-like'. A boxlike self-affine set i...
We consider a class of planar self-affine sets which we call 'box-like'. A boxlike self-affine set i...
We consider a class of planar self-affine sets which we call “box-like”. A box-like self-affine set ...
Using methods from ergodic theory along with properties of the Furstenberg measure we obtain conditi...
Using methods from ergodic theory along with properties of the Furstenberg measure we obtain conditi...
Under mild conditions we show that the affinity dimension of a planar self-affine set is equal to th...
Under mild conditions we show that the affinity dimension of a planar self-affine set is equal to th...
Under mild conditions we show that the affinity dimension of a planar self-affine set is equal to t...
Let $X=\bigcup\varphi_i(X)$ be a strongly separated self-affine set in $\mathbb{R}^2$ (or one satisf...
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number o...
Journal PaperA lower bound of the Hausdorff dimension of certain self-affine sets is given. Moreover...
We study the Lq-dimensions of self-affine measures and the Käenmäki measure on a class of self-affin...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
We study the Lq-dimensions of self-affine measures and the Käenmäki measure on a class of self-affin...
We consider a class of planar self-affine sets which we call 'box-like'. A box-like self-affine set ...
We consider a class of planar self-affine sets which we call 'box-like'. A boxlike self-affine set i...
We consider a class of planar self-affine sets which we call 'box-like'. A boxlike self-affine set i...
We consider a class of planar self-affine sets which we call “box-like”. A box-like self-affine set ...
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