Kan Jiang

activity

20142022

most citedMultiple expansions of real numbers with digits set

{0, 1, q}

7 citations · 55 across the 25 of their papers we have counts for

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Showing 2014 · math.DSShow all

2 papers · 2 filters

math.DS2014

Hausdorff dimension of the arithmetic sum of self-similar sets

Kan Jiang

Let $β > 1$ . We define a class of similitudes \[S:=\left\{f_{i}(x)=\dfrac{x}{β^{n_i}}+a_i:n_i\in \mathbb{N}^{+}, a_i\in \mathbb{R}\right\}.\] Taking any finite similitudes $\{f_{i}(x…

math.DS2014

On univoque points for self-similar sets

Simon Baker, Karma Dajani, Kan Jiang

Let $K \subseteq R$ be the unique attractor of an iterated function system. We consider the case where $K$ is an interval and study those elements of $K$ with a unique codin…