Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry:
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 Kol...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2022]
|
| Series: | De Gruyter Expositions in Mathematics
volume 69/2 |
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-91 DE-706 DE-739 Volltext |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (XXIX, 432-921 Seiten) |
| ISBN: | 9783110702699 9783110702736 |
| DOI: | 10.1515/9783110702699 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:06:22Z |
| indexdate | 2025-03-31T10:01:54Z |
| institution | BVB |
| isbn | 9783110702699 9783110702736 |
| language | English |
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| spelling | Urbański, Mariusz 1958- Verfasser (DE-588)120432684 aut Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry Mariusz Urbański, Mario Roy, Sara Munday Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry Berlin ; Boston De Gruyter [2022] © 2022 1 Online-Ressource (XXIX, 432-921 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter Expositions in Mathematics volume 69/2 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. Dynamische Systeme Ergodentheorie Fraktal MATHEMATICS / Differential Equations / General bisacsh Roy, Mario Verfasser aut Munday, Sara Verfasser (DE-588)1116447908 aut Erscheint auch als Druck-Ausgabe 978-3-11-070061-9 De Gruyter Expositions in Mathematics volume 69/2 (DE-604)BV044998893 69,2 https://doi.org/10.1515/9783110702699 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Urbański, Mariusz 1958- Roy, Mario Munday, Sara Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry De Gruyter Expositions in Mathematics Dynamische Systeme Ergodentheorie Fraktal MATHEMATICS / Differential Equations / General bisacsh |
| title | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry |
| title_alt | Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry |
| title_auth | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry |
| title_exact_search | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry |
| title_exact_search_txtP | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry |
| title_full | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry Mariusz Urbański, Mario Roy, Sara Munday |
| title_fullStr | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry Mariusz Urbański, Mario Roy, Sara Munday |
| title_full_unstemmed | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry Mariusz Urbański, Mario Roy, Sara Munday |
| title_short | Non-Invertible Dynamical Systems. Volume 2, Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry |
| title_sort | non invertible dynamical systems volume 2 finer thermodynamic formalism distance expanding maps and countable state subshifts of finite type conformal gdmss lasota yorke maps and fractal geometry |
| topic | Dynamische Systeme Ergodentheorie Fraktal MATHEMATICS / Differential Equations / General bisacsh |
| topic_facet | Dynamische Systeme Ergodentheorie Fraktal MATHEMATICS / Differential Equations / General |
| url | https://doi.org/10.1515/9783110702699 |
| volume_link | (DE-604)BV044998893 |
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