12 citations · 93 across the 37 of their papers we have counts for
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Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations
Kazuki Okamura
We consider the conjugate equation driven by two families of finite maps on the unit interval satisfying a compatibility condition. This framework contains de Rham's functional equ…
Non-existence of measurable solutions of certain functional equations via probabilistic approaches
Kazuki Okamura
This paper deals with functional equations in the form of where is given and and are unknown. We will show that if is a Borel measurable func…
Some results for conjugate equations
Kazuki Okamura
In this paper we consider a class of conjugate equations, which generalizes de Rham's functional equations. We give sufficient conditions for existence and uniqueness of solutions…
Hausdorff dimensions for graph-directed measures driven by infinite rooted trees
Kazuki Okamura
We give upper and lower bounds for the Hausdorff dimensions for a class of graph-directed measures when its underlying directed graph is the infinite N-ary tree. These measures are…
On regularity for de Rham's functional equations
Kazuki Okamura
We consider regularity for solutions of a class of de Rham's functional equations. Under some smoothness conditions of functions consisting the equation, we improve some results in…
A new generalization of the Takagi function
Kazuki Okamura
We consider a one-parameter family of functions on and partial derivatives with respect to the parameter . Each function of t…