The authors develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemann

The main focus of this book is the exploration of the geometric and dynamic properties of a far reaching generalization of a conformal iterated function system

This book consists of three volumes. The first volume contains introductory accounts of topological dynamical systems, fi nite-state symbolic dynamics, distance

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A comprehensive and detailed presentation of finite and infinite ergodic theory, fractal measures, and thermodynamic formalism.