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math.DS2017
The Sierpiński gasket as the Martin boundary of a non-isotropic Markov chain
Marc Kesseböhmer, Tony Samuel, Karenina Sender
In 2012 Lau and Ngai, motivated by the work of Denker and Sato, gave an example of an isotropic Markov chain on the set of finite words over a three letter alphabet, whose Martin b…
math.DS2017★ 1 cited
On the density of intermediate β-shifts of finite type
Bing Li, Tuomas Sahlsten, Tony Samuel +1
We determine the structure of the set of intermediate -shifts of finite type. Specifically, we show that this set is dense in the parameter space $Δ= \{ (β, α) \in \mathbb{R}^{2…