Conformal Graph Directed Markov Systems on Carnot Groups (Memoirs of the American Mathematical Society, 266) - Softcover

Chousionis, Vasileios; Tyson, Jeremy T.; Urbanski, Mariusz

 
9781470442156: Conformal Graph Directed Markov Systems on Carnot Groups (Memoirs of the American Mathematical Society, 266)
Softcover
ISBN 10: 1470442159 ISBN 13: 9781470442156
Verlag: American Mathematical Society, 2020

Inhaltsangabe

"We 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, we 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. We illustrate our 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"--

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Über die Autorin bzw. den Autor

Vasileios Chousionis, University of Connecticut, Storrs, CT

Jeremy T. Tyson, University of Illinois at Urbana-Champaign, IL

Mariusz Urbanski, University of North Texas, Denton, TX

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Verlag
American Mathematical Society
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
1470442159
ISBN 13 
9781470442156
Einband
Taschenbuch
Anzahl der Seiten
153
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
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