Unimodularity in Randomly Generated Graphs. (Record no. 7022)
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| fixed length control field | 06180nam a22005773i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC5612806 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724113457.0 |
| 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 | 240724s2018 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470450175 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470439149 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC5612806 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL5612806 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1076544160 |
| 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 | QA166.17 .U556 2018 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.2/3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sobieczky, Florian. |
| 245 10 - TITLE STATEMENT | |
| Title | Unimodularity in Randomly Generated Graphs. |
| 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 | 2018. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (226 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 | Contemporary Mathematics Series ; |
| Volume/sequential designation | v.719 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Contents -- Preface -- Monotonicity of average return probabilities for random walks in random environments -- 1. Introduction -- 2. Statements of Results and Background -- 3. Proofs -- References -- Counterexamples for percolation on unimodular random graphs -- 1. Introduction -- 2. Basic constructions -- 3. A discontinuous phase transition -- 4. Nonamenability and uniqueness -- References -- Invariant -percolation on regular trees -- References -- Sparse graph limits along balls -- 1. Hyperfiniteness -- 2. Yu's Property -- 3. Further questions that arise -- 4. An infinite model -- References -- Percolation and coarse conformal uniformization -- 1. Introduction -- 2. Two conjectures -- 3. Conformal invariance and hyperbolicity -- References -- Invariant tilings and unimodular decorations of Cayley graphs -- 1. Introduction -- 2. Duality -- References -- Distributional lattices on Riemannian symmetric spaces -- 1. Introduction -- 2. Distributional lattices -- 3. General Properties of Poisson-Voronoi tilings in Symmetric Spaces -- 4. Additional structure for Poisson-Voronoi tessellations in nonpositively curved spaces -- References -- Eternal Family Trees and dynamics on unimodular random graphs -- 1. Introduction -- 2. Unimodular Networks -- 3. Vertex-Shifts and Foil Classification -- 4. Eternal Family Trees -- 5. Trees and Networks Beyond Unimodularity -- 6. Eternal Branching Processes -- Conclusion -- Acknowledgements -- References -- Circular slider graphs: de Bruijn, Kautz, Rauzy, lamplighters and spiders -- Introduction -- 1. De Bruijn graphs -- 2. Circular slider graphs -- 3. Examples -- 4. Periodic slider graphs: connectedness and step induced graphs -- 5. Missing links and transversally Markov circular slider graphs -- 6. Lamplighters over cyclic groups -- 7. Lamplighters and circular slider graphs. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8. Spider slider graphs -- References -- All properly ergodic Markov chains over a free group are orbit equivalent -- 1. Introduction -- 2. Preliminaries -- 3. General results regarding Markov chains -- 4. General constructions of orbit-equivalences -- 5. From properly ergodic to generator-ergodic -- 6. Proof of the main theorem -- References -- Shift-coupling of random rooted graphs and networks -- 1. Introduction -- 2. Random Rooted Graphs and Networks -- 3. Shift-Coupling of Random Rooted Networks -- 4. The Unimodular Case and Balancing Transport Kernels -- 5. Network Extension and Unimodularization -- 6. A Construction Using Stable Transports -- 7. Proofs -- 8. Bibliography of Analogous Results for Point Processes -- Acknowledgements -- References -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume contains the proceedings of the AMS Special Session on Unimodularity in Randomly Generated Graphs, held from October 8-9, 2016, in Denver, Colorado. Unimodularity, a term initially used in locally compact topological groups, is one of the main examples in which the generalization from groups to graphs is successful. The "randomly generated graphs", which include percolation graphs, random Erdős-Rényi graphs, and graphings of equivalence relations, are much easier to describe if they result as random objects in the context of unimodularity, with respect to either a vertex-transient "host"-graph or a probability measure. This volume tries to give an impression of the various fields in which the notion currently finds strong development and application: percolation theory, point processes, ergodic theory, and dynamical systems. |
| 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 | Random graphs. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Graph theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Dynamical systems and ergodic theory -- Ergodic theory -- Entropy and other invariants, isomorphism, classification.-msc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Dynamical systems and ergodic theory -- Ergodic theory -- Measure-preserving transformations.-msc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Probability theory and stochastic processes -- Combinatorial probability -- Combinatorial probability.-msc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Probability theory and stochastic processes -- Markov processes -- Transition functions, generators and resolvents.-msc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Probability theory and stochastic processes -- Special processes -- Interacting random processes. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | statistical mechanics type models. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | percolation theory.-msc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Probability theory and stochastic processes -- Special processes -- Processes in random environments.-msc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Probability theory and stochastic processes -- Stochastic processes -- Point processes.-msc. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Sobieczky, Florian |
| Title | Unimodularity in Randomly Generated Graphs |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2018 |
| International Standard Book Number | 9781470439149 |
| 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 | Contemporary Mathematics Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5612806">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5612806</a> |
| Public note | Click to View |
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