Conformal Graph Directed Markov Systems on Carnot Groups
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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.
| Autor: | Chousionis, Vasileios; Tyson, Jeremy T.; Urbanski, Mariusz |
| Nakladatel: | American Mathematical Society |
| ISBN: | 9781470442156 |
| Rok vydání: | 2020 |
| Jazyk : | Angličtina |
| Vazba: | Paperback / softback |
| Počet stran: | 153 |
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