Graph Directed Markov Systems
DOWNLOAD
Download Graph Directed Markov Systems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Graph Directed Markov Systems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Graph Directed Markov Systems
DOWNLOAD
Author : R. Daniel Mauldin
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07
Graph Directed Markov Systems written by R. Daniel Mauldin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-07 with Mathematics categories.
The main focus of this book is the exploration of the geometric and dynamic properties of a far reaching generalization of a conformal iterated function system - a Graph Directed Markov System. These systems are very robust in that they apply to many settings that do not fit into the scheme of conformal iterated systems. The basic theory is laid out here and the authors have touched on many natural questions arising in its context. However, they also emphasise the many issues and current research topics which can be found in original papers. For example the detailed analysis of the structure of harmonic measures of limit sets, the examination of the doubling property of conformal measures, the extensive study of generalized polynomial like mapping or multifractal analysis of geometrically finite Kleinian groups. This book leads readers onto frontier research in the field, making it ideal for both established researchers and graduate students.
Graph Directed Markov Systems
DOWNLOAD
Author : R. Daniel Mauldin
language : en
Publisher:
Release Date : 2014-05-14
Graph Directed Markov Systems written by R. Daniel Mauldin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Electronic books categories.
Monograph on Graph Directed Markov Systems with backgound and research level material.
Dimension Spectrum And Graph Directed Markov Systems
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2006
Dimension Spectrum And Graph Directed Markov Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Graph theory categories.
Conformal Graph Directed Markov Systems On Carnot Groups
DOWNLOAD
Author : Vasileios Chousionis
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-28
Conformal Graph Directed Markov Systems On Carnot Groups written by Vasileios Chousionis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Mathematics categories.
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.
Resonances For Graph Directed Markov Systems And Geometry Of Infinitely Generated Dynamical Systems
DOWNLOAD
Author : Martial R. Hille
language : en
Publisher:
Release Date : 2009
Resonances For Graph Directed Markov Systems And Geometry Of Infinitely Generated Dynamical Systems written by Martial R. Hille and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Graph theory categories.
Ergodic Theory Finite And Infinite Thermodynamic Formalism Symbolic Dynamics And Distance Expanding Maps
DOWNLOAD
Author : Mariusz Urbański
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-11-22
Ergodic Theory Finite And Infinite Thermodynamic Formalism Symbolic Dynamics And Distance Expanding Maps written by Mariusz Urbański and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Mathematics categories.
The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are presented in detail. Abstract ergodic theory is also given a significant attention. Ergodic theorems, ergodicity, and Kolmogorov-Sinai metric entropy are fully explored. Furthermore, the book gives the reader an opportunity to find rigorous presentation of thermodynamic formalism for distance expanding maps and, in particular, subshifts of finite type over a finite alphabet. It also provides a fairly complete treatment of subshifts of finite type over a countable alphabet. Transfer operators, Gibbs states and equilibrium states are, in this context, introduced and dealt with. Their relations are explored. All of this is applied to fractal geometry centered around various versions of Bowen’s formula in the context of expanding conformal repellors, limit sets of conformal iterated function systems and conformal graph directed Markov systems. A unique introduction to iteration of rational functions is given with emphasize on various phenomena caused by rationally indifferent periodic points. Also, a fairly full account of the classicaltheory of Shub’s expanding endomorphisms is given; it does not have a book presentation in English language mathematical literature.
Asymptotic Counting In Conformal Dynamical Systems
DOWNLOAD
Author : Mark Pollicott
language : en
Publisher: American Mathematical Society
Release Date : 2021-09-24
Asymptotic Counting In Conformal Dynamical Systems written by Mark Pollicott and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-24 with Mathematics categories.
View the abstract.
Open Conformal Systems And Perturbations Of Transfer Operators
DOWNLOAD
Author : Mark Pollicott
language : en
Publisher: Springer
Release Date : 2018-02-05
Open Conformal Systems And Perturbations Of Transfer Operators written by Mark Pollicott and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Mathematics categories.
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved. The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.
Meromorphic Dynamics
DOWNLOAD
Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023
Meromorphic Dynamics written by Janina Kotus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Functions, Meromorphic categories.
"The first of two volumes provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students"--
Meromorphic Dynamics Volume 2
DOWNLOAD
Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023-05-04
Meromorphic Dynamics Volume 2 written by Janina Kotus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-04 with Mathematics categories.
This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to topological dynamics of transcendental meromorphic functions, before progressing to elliptic functions, discussing at length their classical properties, measurable dynamics and fractal geometry. The authors then look in depth at compactly non-recurrent elliptic functions. Much of this material is appearing for the first time in book or paper form. Both senior and junior researchers working in ergodic theory and dynamical systems will appreciate what is sure to be an indispensable reference.