Nathan Dalaklis

collaborators

4 papers

math.DS2026

Complex Diophantine Approximations and Cusp Excursions

Nathan Dalaklis, Yan Mary He

We study the Hausdorff dimension spectrum of asymptotic approximation rates of complex Diophantine approximation and that of the asymptotic average excursion time of cusp excursion…

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…