Conformal Graph Directed Markov Systems on Carnot Groups Paperback / softback
by Vasileios Chousionis, Jeremy T. Tyson, Mariusz Urbanski
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
The authors 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, they develop the thermodynamic formalism and show that, under natural hypotheses, the limit set of an Carnot conformal GDMS has Hausdorff dimension given by Bowen's parameter.
They illustrate their results for a variety of examples of both linear and nonlinear iterated function systems and graph directed Markov systems in such sub-Riemannian spaces.
These include the Heisenberg continued fractions introduced by Lukyanenko and Vandehey as well as Kleinian and Schottky groups associated to the non-real classical rank one hyperbolic spaces.
Information
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Out of stock
- Format:Paperback / softback
- Pages:153 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2020
- Category:
- ISBN:9781470442156
Other Formats
- PDF from £76.50
Information
-
Out of stock
- Format:Paperback / softback
- Pages:153 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2020
- Category:
- ISBN:9781470442156