3 papers
math.DS2022
-revolving sequences and self-similar sets in the plane
Kiko Kawamura, Tobey Mathis
Initiated by Mizutani and Ito's work in 1987, Kawamura and Allen recently showed that certain self-similar sets generalized by two similar contractions have a natural complex power…
math.CA2021
The partial derivative of Okamoto's functions with respect to the parameter
Nathan Dalaklis, Kiko Kawamura, Tobey Mathis +1
The differentiability of the one parameter family of Okomoto's functions as functions of has been analyzed extensively since their introduction in 2005. As an analogue to a sim…
math.DS2021
Revolving sequences and Terdragon
Tobey Mathis, Kiko Kawamura
In 1970, Davis and Knuth introduced the concept of revolving sequences to represent Gaussian integers. Much later, Kawamura and Allen recently generalized this idea to a wider clas…