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Unimodularity in randomly generated graphs /

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 gr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Sobieczky, Florian (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2018.
Colección:Contemporary mathematics (American Mathematical Society) ; v. 719.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Unimodularity in randomly generated graphs /  |c Florian Sobieczky, editor. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2018. 
300 |a 1 online resource (x, 211 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Contemporary mathematics ;  |v volume 719 
500 |a "AMS Special Session on Unimodularity in Randomly Generated Graphs, October 8-9, 2016, Denver, Colorado." 
504 |a Includes bibliographical references. 
588 0 |a Print record version. 
505 0 |a 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 
505 8 |a Percolation and coarse conformal uniformization1. 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 
505 8 |a 2. Unimodular Networks3. 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; 8. Spider slider graphs 
505 8 |a 7. Proofs8. Bibliography of Analogous Results for Point Processes; Acknowledgements; References; Back Cover 
520 |a 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-transien. 
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650 0 |a Random graphs. 
650 0 |a Graph theory. 
650 6 |a Graphes aléatoires. 
650 7 |a MATHEMATICS  |x Applied.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Graph theory  |2 fast 
650 7 |a Random graphs  |2 fast 
650 7 |a Probability theory and stochastic processes  |x Special processes  |x Interacting random processes; statistical mechanics type models; percolation theory.  |2 msc 
650 7 |a Probability theory and stochastic processes  |x Special processes  |x Processes in random environments.  |2 msc 
650 7 |a Probability theory and stochastic processes  |x Markov processes  |x Transition functions, generators and resolvents.  |2 msc 
650 7 |a Probability theory and stochastic processes  |x Combinatorial probability  |x Combinatorial probability.  |2 msc 
650 7 |a Probability theory and stochastic processes  |x Stochastic processes  |x Point processes.  |2 msc 
650 7 |a Dynamical systems and ergodic theory  |x Ergodic theory  |x Measure-preserving transformations.  |2 msc 
650 7 |a Dynamical systems and ergodic theory  |x Ergodic theory  |x Entropy and other invariants, isomorphism, classification.  |2 msc 
700 1 |a Sobieczky, Florian,  |e editor. 
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830 0 |a Contemporary mathematics (American Mathematical Society) ;  |v v. 719. 
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