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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory

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Conformal Graph Directed Markov Systems on Carnot Groups (Paperback) Loot Price: R2,218

Discovery Miles 22 180

Repayment Terms: R208 pm x 12*

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Conformal Graph Directed Markov Systems on Carnot Groups (Paperback): Vasileios Chousionis, Jeremy T. Tyson, Mariusz Urbanski

Conformal Graph Directed Markov Systems on Carnot Groups (Paperback)

Vasileios Chousionis, Jeremy T. Tyson, Mariusz Urbanski

Series: Memoirs of the American Mathematical Society

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Loot Price R2,218 Discovery Miles 22 180 | Repayment Terms: R208 pm x 12*

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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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Memoirs of the American Mathematical Society
Release date:	October 2020
Authors:	Vasileios Chousionis • Jeremy T. Tyson • Mariusz Urbanski
Dimensions:	254 x 178 x 15mm (L x W x T)
Format:	Paperback
Pages:	153
ISBN-13:	978-1-4704-4215-6
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Promotions
LSN:	1-4704-4215-9
Barcode:	9781470442156