Conformal Graph Directed Markov Systems on Carnot Groups

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...

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Bibliographic Details
Main Authors:	Chousionis, Vasilis, Tyson, Jeremy, Urbański, Mariusz
Format:	eBook Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society 2020
Edition:	1
Series:	Memoirs of the American Mathematical Society
Subjects:	Conformal mapping Hausdorff measures Markov processes Nilpotent Lie groups Thermodynamics > Mathematical models Heisenberg group iterated function system Bowen’s formula Hausdorff dimension Hausdorff measure continued fractions Iwasawa Carnot group conformal mapping packing measure open set condition thermodynamic formalism
ISBN:	9781470442156, 1470442159
ISSN:	0065-9266, 1947-6221
Online Access:	Get full text
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