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Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps, Mario Roy, Mariusz Urbanski, Sara Munday


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Автор: Mario Roy, Mariusz Urbanski, Sara Munday
Название:  Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps
ISBN: 9783110702750
Издательство: Walter de Gruyter
Классификация: ISBN-10: 3110702754
Обложка/Формат: Digital (delivered electronically)
Страницы: 458
Вес: 0.00 кг.
Дата издания: 22.11.2021
Серия: Mathematics
Язык: English
Читательская аудитория: Professional and scholarly
Рейтинг:
Поставляется из: Германии
Описание:

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.




Ergodic Theory - Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps

Автор: Urbański Roy Munday Mariusz Mario
Название: Ergodic Theory - Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps
ISBN: 3110702649 ISBN-13(EAN): 9783110702644
Издательство: Walter de Gruyter
Рейтинг:
Цена: 41276.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

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.

Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry

Автор: Mario Roy, Mariusz Urbanski, Sara Munday
Название: Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry
ISBN: 3110702738 ISBN-13(EAN): 9783110702736
Издательство: Walter de Gruyter
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Цена: 25848.00 р.
Наличие на складе: Нет в наличии.

Описание:

This book consists of three volumes. The first volume contains introductory accounts of topological dynamical systems, fi nite-state symbolic dynamics, distance expanding maps, and ergodic theory of metric dynamical systems acting on probability measure spaces, including metric entropy theory of Kolmogorov and Sinai. More advanced topics comprise infi nite ergodic theory, general thermodynamic formalism, topological entropy and pressure. Thermodynamic formalism of distance expanding maps and countable-alphabet subshifts of fi nite type, graph directed Markov systems, conformal expanding repellers, and Lasota-Yorke maps are treated in the second volume, which also contains a chapter on fractal geometry and its applications to conformal systems. Multifractal analysis and real analyticity of pressure are also covered. The third volume is devoted to the study of dynamics, ergodic theory, thermodynamic formalism and fractal geometry of rational functions of the Riemann sphere.

Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal Gdmss, Lasota-Yorke Maps and Fractal G

Автор: Urbański Mariusz, Roy Mario, Munday Sara
Название: Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal Gdmss, Lasota-Yorke Maps and Fractal G
ISBN: 3110700611 ISBN-13(EAN): 9783110700619
Издательство: Walter de Gruyter
Рейтинг:
Цена: 38219.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This book consists of three volumes. The first volume contains introductory accounts of topological dynamical systems, fi nite-state symbolic dynamics, distance expanding maps, and ergodic theory of metric dynamical systems acting on probability measure spaces, including metric entropy theory of Kolmogorov and Sinai. More advanced topics comprise infi nite ergodic theory, general thermodynamic formalism, topological entropy and pressure. Thermodynamic formalism of distance expanding maps and countable-alphabet subshifts of fi nite type, graph directed Markov systems, conformal expanding repellers, and Lasota-Yorke maps are treated in the second volume, which also contains a chapter on fractal geometry and its applications to conformal systems. Multifractal analysis and real analyticity of pressure are also covered. The third volume is devoted to the study of dynamics, ergodic theory, thermodynamic formalism and fractal geometry of rational functions of the Riemann sphere.

Thermodynamic Formalism: Cirm Jean-Morlet Chair, Fall 2019

Автор: Pollicott Mark, Vaienti Sandro
Название: Thermodynamic Formalism: Cirm Jean-Morlet Chair, Fall 2019
ISBN: 3030748626 ISBN-13(EAN): 9783030748623
Издательство: Springer
Цена: 7927.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: - Part I Specifications and Expansiveness. - 1. Beyond Bowen's Specification Property. - 2. The Role of Continuity and Expansiveness on Leo and Periodic Specification Properties. - Part II Low Dimensional Dynamics and Thermodynamics Formalism. - 3. Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions. - Part III Probability Theory Ergodicity and Thermodynamic Formalism. - 4. Recurrent Sets for Ergodic Sums of an Integer Valued Function. - 5. Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations. - 6. Limit Theorem for Reflected Random Walks. - 7. The Strong Borel-Cantelli Property in Conventional and Nonconventional Setups. - 8. Application of the Convergence of the Spatio-Temporal Processes for Visits to Small Sets. - Part IV Geometry and Thermodynamics Formation. - 9. Rate of Mixing for Equilibrium States in Negative Curvature and Trees. - 10. Statistical Properties of the Rauzy-Veech-Zorich Map. - 11. Entropy Rigidity, Pressure Metric, and Immersed Surfaces in Hyperbolic 3-Manifolds. - 12. Higher Teichmьller Theory for Surface Groups and Shifts of Finite Type. - Part V Fractal Geometry. - 13. Dimension Estimates for C1 Iterated Function Systems and C1 Repellers, a Survey. - 14. Intermediate Dimensions: A Survey. - 15. Fractal Geometry of Bedford-McMullen Carpets. - 16. Some Variants of Orponen's Theorem on Visible Parts of Fractal Sets.

Thermodynamic Formalism and Applications to Dimension Theory

Автор: Luis Barreira
Название: Thermodynamic Formalism and Applications to Dimension Theory
ISBN: 3034803362 ISBN-13(EAN): 9783034803366
Издательство: Springer
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Цена: 12196.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume provides a unified exposition of thermodynamic formalism and some of its main extensions, with an emphasis on the relation to the dimension theory and the multifractal analysis of dynamical systems. It also includes a discussion of the most substantial applications.

Fluid and Thermodynamics: Volume 2: Advanced Fluid Mechanics and Thermodynamic Fundamentals

Автор: Hutter Kolumban, Wang Yongqi
Название: Fluid and Thermodynamics: Volume 2: Advanced Fluid Mechanics and Thermodynamic Fundamentals
ISBN: 3319815628 ISBN-13(EAN): 9783319815626
Издательство: Springer
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Цена: 29936.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: 3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level.

Advances in the Modelling of Thermodynamic Systems

Автор: Essefi Elhoucine, Jendoubi Ibtissem
Название: Advances in the Modelling of Thermodynamic Systems
ISBN: 1799888010 ISBN-13(EAN): 9781799888017
Издательство: Mare Nostrum (Eurospan)
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Цена: 40887.00 р.
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Описание: Presents recent advances in modeling of thermodynamic systems as well as the state of the art of many disciplines including human made industrial processes (materials studies, renewable energy, heat and mass transfer, and heat pump and air conditioning) and natural processes taking place on Earth, Mars and the universe.

Advances in the Modelling of Thermodynamic Systems

Автор: Essefi Elhoucine, Jendoubi Ibtissem
Название: Advances in the Modelling of Thermodynamic Systems
ISBN: 1799888029 ISBN-13(EAN): 9781799888024
Издательство: Mare Nostrum (Eurospan)
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Цена: 30908.00 р.
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Описание: Discusses the recent advances in modeling of thermodynamic systems as well as the state-of-the-art manmade industrial processes and natural processes taking place on Earth and beyond. The book reveals an interdisciplinary vision of thermodynamics from the minuscule to the immense.

Foundations of Ergodic Theory

Автор: Viana
Название: Foundations of Ergodic Theory
ISBN: 1107126967 ISBN-13(EAN): 9781107126961
Издательство: Cambridge Academ
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Цена: 16157.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Rich with examples, applications and over 400 exercises, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. It requires few prerequisites, beginning with elementary material suitable for undergraduate students and gradually building up to more sophisticated topics.

Modeling Thermodynamic Distance, Curvature and Fluctuations: A Geometric Approach

Автор: Badescu Viorel
Название: Modeling Thermodynamic Distance, Curvature and Fluctuations: A Geometric Approach
ISBN: 3319816039 ISBN-13(EAN): 9783319816036
Издательство: Springer
Рейтинг:
Цена: 20580.00 р.
Наличие на складе: Нет в наличии.

Описание: This textbook aims to briefly outline the main directions in which thegeometrization of thermodynamics has been developed in the last decades. The textbook is accessible to people trained in thermal sciences but notnecessarily with solid formation in mathematics.

Modeling Thermodynamic Distance, Curvature and Fluctuations

Автор: Viorel Badescu
Название: Modeling Thermodynamic Distance, Curvature and Fluctuations
ISBN: 3319337882 ISBN-13(EAN): 9783319337883
Издательство: Springer
Рейтинг:
Цена: 14818.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This textbook aims to briefly outline the main directions in which thegeometrization of thermodynamics has been developed in the last decades.The textbook is accessible to people trained in thermal sciences but notnecessarily with solid formation in mathematics.

Black-body Radiative, Thermodynamic, and Chromatic Functions: Tables in Finite Spectral Ranges

Автор: Fisenko
Название: Black-body Radiative, Thermodynamic, and Chromatic Functions: Tables in Finite Spectral Ranges
ISBN: 3319389947 ISBN-13(EAN): 9783319389943
Издательство: Springer
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Цена: 14025.00 р.
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Описание: This book provides detailed calculated values for the thermal radiative and thermodynamic functions of black-body radiation in finite spectral ranges. The results are presented in tabular form. The areas of thermal power generation, infrared medical diagnostics, solar power and nuclear generation, and astrophysics are included. A range of the thermal radiative and thermodynamic functions are calculated by the authors in the finite frequency/wavenumber/wavelength intervals at different temperatures. This book also contains the tables of the chromaticity coordinates and RGB parameters calculated for different color spaces (Rec.709 (HDTV), sRGB, Adobe RGB). A number of the optimization problems is formulated and solved for various thermal black-body radiative and thermodynamic functions in a finite range of frequencies.


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