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math.DS2016
Conformal graph directed Markov systems on Carnot groups
Vasilis Chousionis, Jeremy T. Tyson, Mariusz Urbański
We develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, we…
math.DS2008★ 8 cited
Directed porosity on conformal iterated function systems and weak convergence of singular integrals
Vasilis Chousionis
The aim of the present paper is twofold. We study directed porosity in connection with conformal iterated function systems (CIFS) and with singular integrals. We prove that limit s…