N. Chatzikonstantinou

most citedRigidity, graphs and Hausdorff dimension

6 citations · 6 across the 1 of their papers we have counts for

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math.CA2020

Configurations in Fractals

Nikolaos Chatzikonstantinou

We define the manifold of configurations to be the quotient set of $k$ points in Euclidean space identified under congruence, and prove that compact subsets of $\mathbb{R}^d, d \ge…

math.CA2017★ 6 cited

Rigidity, graphs and Hausdorff dimension

N. Chatzikonstantinou, A. Iosevich, S. Mkrtchyan +1

For a compact set $E \subset R^{d}$ and a connected graph $G$ on $k + 1$ vertices, we define a $G$ -framework to be a collection of $k + 1$ points in $E$ such that the distance be…