Conformal Graph Directed Markov Systems on Carnot Groups. (Record no. 20999)
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| 001 - CONTROL NUMBER | |
| control field | EBC6346625 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724114521.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2020 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470462451 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470442156 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC6346625 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL6346625 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1194962964 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | TJ265 |
| Item number | .C468 2020 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 621.40210000000002 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Chousionis, Vasileios. |
| 245 10 - TITLE STATEMENT | |
| Title | Conformal Graph Directed Markov Systems on Carnot Groups. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2020. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (170 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society Series ; |
| Volume/sequential designation | v.266 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Introduction -- Chapter 1. Carnot groups -- 1.1. Carnot groups -- 1.2. Contact mappings -- 1.3. Dimension comparison in Carnot groups -- Chapter 2. Carnot groups of Iwasawa type and conformal mappings -- 2.1. Iwasawa groups of complex, quaternionic or octonionic type -- 2.2. Conformal mappings on Carnot groups -- Chapter 3. Metric and geometric properties of conformal maps -- 3.1. Norm of the horizontal differential and local Lipschitz constant -- 3.2. Koebe distortion theorems for Carnot conformal mappings -- Chapter 4. Conformal graph directed Markov systems -- 4.1. Graph Directed Markov Systems -- 4.2. Carnot conformal graph directed Markov systems -- Chapter 5. Examples of GDMS in Carnot groups -- 5.1. Infinite self-similar iterated function systems -- 5.2. Iwasawa conformal Cantor sets -- 5.3. Continued fractions in Iwasawa groups -- 5.4. Complex hyperbolic Kleinian groups of Schottky type -- Chapter 6. Countable alphabet symbolic dynamics: foundations of the thermodynamic formalism -- 6.1. Subshifts of finite type and topological pressure -- 6.2. Gibbs states, equilibrium states and potentials -- 6.3. Perron-Frobenius Operator -- Chapter 7. Hausdorff dimension of limit sets -- 7.1. Topological pressure, -number, and Bowen's parameter -- 7.2. Hausdorff dimension and Bowen's formula -- 7.3. Characterizations of co-finitely regular and strongly regular Carnot conformal IFS -- 7.4. Dimension spectrum for subsystems of Carnot conformal IFS -- Chapter 8. Conformal measures and regularity of domains -- 8.1. Bounding coding type and null boundary -- 8.2. Regularity properties of domains in Carnot groups -- 8.3. Conformal measure estimates -- Chapter 9. Examples revisited -- 9.1. Infinite self-similar iterated function systems -- 9.2. Continued fractions in groups of Iwasawa type -- 9.3. Iwasawa conformal Cantor sets. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 10. Finer properties of limit sets: Hausdorff, packing and invariant measures -- 10.1. Finiteness of Hausdorff measure and positivity of packing measure -- 10.2. Positivity of Hausdorff measure and finiteness of packing measure -- 10.3. Hausdorff and packing measures for continued fraction systems in groups of Iwasawa type -- 10.4. Hausdorff dimensions of invariant measures -- Chapter 11. Equivalent separation conditions for finite GDMS -- Bibliography -- Index -- Back Cover. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Thermodynamics-Mathematical models. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tyson, Jeremy T. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Urbański, Mariusz. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Chousionis, Vasileios |
| Title | Conformal Graph Directed Markov Systems on Carnot Groups |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2020 |
| International Standard Book Number | 9781470442156 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6346625">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6346625</a> |
| Public note | Click to View |
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