It takes the average reader 2 hours and 34 minutes to read Conformal Graph Directed Markov Systems on Carnot Groups by Vasileios Chousionis
Assuming a reading speed of 250 words per minute. Learn more
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.
Conformal Graph Directed Markov Systems on Carnot Groups by Vasileios Chousionis is 153 pages long, and a total of 38,709 words.
This makes it 52% the length of the average book. It also has 47% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 31 minutes to read Conformal Graph Directed Markov Systems on Carnot Groups aloud.
Conformal Graph Directed Markov Systems on Carnot Groups is suitable for students ages 10 and up.
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