Nathan Dalaklis

collaborators

3 papers

math.DS2025

Multifractal Analysis of Equilibrium States of Endomorphisms of $P^{k}$

Nathan Dalaklis, Yan Mary He

Let $f$ be a holomorphic endomorphism of $C P^{k}$ of algebraic degree at least $2$ and let $X \subseteq C P^{k}$ be an uniformly expanding set. In th…

math.CA2025

The higher order partial derivatives of Okamoto's function with respect to the parameter

Pieter Allaart, Nathan Dalaklis, Kiko Kawamura +2

Let ${F_{a} : a \in (0, 1)}$ be Okamoto's family of continuous self-affine functions, introduced in [{\em Proc. Japan Acad. Ser. A Math. Sci.} {\bf 81} (2005), no. 3, 47--50]. This fam…

math.GN2024

The $D$ -Variant of Transfinite Hausdorff Dimension

Bryce Decker, Nathan Dalaklis

We assign every metric space $X$ the value $t_{D} H D (X)$ , an ordinal number or one of the symbols $- 1$ or $Ω$ , and we call it the $D$ -variant of transfinite Hausdorff dimension of $…

Multifractal Analysis of Equilibrium States of Endomorphisms of Pk

The higher order partial derivatives of Okamoto's function with respect to the parameter

The D-Variant of Transfinite Hausdorff Dimension

Multifractal Analysis of Equilibrium States of Endomorphisms of $P^{k}$

The $D$ -Variant of Transfinite Hausdorff Dimension