Develops 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, the authors develop the thermodynamic formalism and show that the limit set of an Carnot conformal GDMS has Hausdorff dimension given by Bowen's parameter.
American Mathematical Society Conformal graph directed markov systems on carnot groups, paperback/mariusz urbanski
