2 papers
math.DS2025
McMullen's game for equicontinuously-twisted badly approximable points in continued fractions and beta expansions
David Lambert, David Simmons, Jiajie Zheng
In a beta-transformation (for integer beta) or a Gauss map system, given a sequence of functions fn from [0,1] to itself, consider the collection of points in [0,1] whose nth itera…
math.CA2025
The higher order partial derivatives of Okamoto's function with respect to the parameter
Pieter Allaart, Nathan Dalaklis, Kiko Kawamura +2
Let 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…