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eBook
Unimodularity in Randomly Generated Graphs
2018
Overview
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.
Publisher
American Mathematical Society
Subject
/ Combinatorial probability.-msc
/ Dynamical systems and ergodic theory
/ Entropy and other invariants, isomorphism, classification.-msc
/ Interacting random processes
/ Measure-preserving transformations.-msc
/ Probability theory and stochastic processes
/ Processes in random environments.-msc
ISBN
147043914X, 9781470439149
