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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★ 7 cited
Minkowski measurability of infinite conformal graph directed systems and application to Apollonian packings
Marc Kesseböhmer, Sabrina Kombrink
We give conditions for the existence of the Minkowski content of limit sets stemming from infinite conformal graph directed systems. As an application we obtain Minkowski measurabi…