Add to ORKGWe disprove the conjecture of the paper by Zhang et al.(1) on the Schur-convexity of the dimension function for the family of Sierpinski pedal triangles. We also show that this function is not convex and the related area-ratio function is not concave in their respective domain
In this thesis we study the existence of an infinite-dimensional analog of maximal torus in the symp...
This article concerns the dimension theory of the graphs of a family of functions which include the ...
Using McMullen's Hausdorff dimension algorithm, we study numerically the dimension of the limit set ...
We disprove the conjecture of the paper [5] on the Schur-convexity of the dimension function for the...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
We provide a solution to the conjecture of Ref. 1 on the global minimal fractal dimension of Sierpin...
Recent findings show that the classical Riemann's non-differentiable function has a physical and geo...
AbstractLet G be a planar digraph embedded in the plane such that each bounded face contains three e...
We show for a compact set $E \subset \mathbb{R}^d$, $d \geq 4$, that if the Hausdorff dimension of $...
The article deals with a plane equipped with a convex distance function. We extend the notions of eq...
The present paper is concerned with the study of vector-valued interpolation functions on the Sierpi...
This note generalizes a result of Goodman[3], where it is shown that the convexity of Bèzier nets de...
22 pagesIn this paper, we give a positive answer for Mc Mullen's open question which addresses a pro...
International audienceWe show that the union of n translates of a convex body in R3 can have Θ(n3) h...
In this paper we consider the Cheeger problem for non-convex domains, with a particular interest in ...
In this thesis we study the existence of an infinite-dimensional analog of maximal torus in the symp...
This article concerns the dimension theory of the graphs of a family of functions which include the ...
Using McMullen's Hausdorff dimension algorithm, we study numerically the dimension of the limit set ...
We disprove the conjecture of the paper [5] on the Schur-convexity of the dimension function for the...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
We provide a solution to the conjecture of Ref. 1 on the global minimal fractal dimension of Sierpin...
Recent findings show that the classical Riemann's non-differentiable function has a physical and geo...
AbstractLet G be a planar digraph embedded in the plane such that each bounded face contains three e...
We show for a compact set $E \subset \mathbb{R}^d$, $d \geq 4$, that if the Hausdorff dimension of $...
The article deals with a plane equipped with a convex distance function. We extend the notions of eq...
The present paper is concerned with the study of vector-valued interpolation functions on the Sierpi...
This note generalizes a result of Goodman[3], where it is shown that the convexity of Bèzier nets de...
22 pagesIn this paper, we give a positive answer for Mc Mullen's open question which addresses a pro...
International audienceWe show that the union of n translates of a convex body in R3 can have Θ(n3) h...
In this paper we consider the Cheeger problem for non-convex domains, with a particular interest in ...
In this thesis we study the existence of an infinite-dimensional analog of maximal torus in the symp...
This article concerns the dimension theory of the graphs of a family of functions which include the ...
Using McMullen's Hausdorff dimension algorithm, we study numerically the dimension of the limit set ...