Random Graph Dynamics: References

By R. Durrett. 2006

689 citations recorded by the source corpus.

Subfields: Demography, Genetics, Political Science and International Relations

View Paper: https://www.semanticscholar.org/paper/f49623c2d4ff7bba43908b8a2ad20279d1008865

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Demography

In Genetics

In Political Science and International Relations

Citations in the corpus

Aggregate Fluctuations and the Network Structure of Intersectoral Trade (2010, background): “Durrett (2006) and Chung and Lu (2006) provide textbook treatments.”
Large deviations of empirical neighborhood distribution in sparse random graphs (2013, neutral): “themonographs [18,23].”
Population Dynamics and Random Genealogies (2008, background): “Without even speaking of tools from the “omics” era, there are at least two examples of recent, active fields of probability theory related to population biology: genealogy, or phylogeny, modelling and reconstruction[11,35], whose toy model is the Kingman coalescent[74], and social networks[34], who”
Mean field conditions for coalescing random walks (2011, background): “That means that the “big bang” phase (to use Durrett’s phrase) at the beginning of the process has to be controlled by other means.”
The early evolution of the H-free process (2009, background): “While there has been considerable recent interest in using such processes to model networks that arise in applications (see [11] and the references therein), random graphs have long been an important component in the construction of sophisticated combinatorial objects (see [4]).”
Distances in Random Graphs with Finite Mean and Infinite Variance Degrees (2005, methodology): “3 Related work There are many papers on scale-free graphs and we refer to reviews such as the ones by Albert and Barabási [1], Newman [18] and the recent book by Durrett [9] for an introduction; we refer to [2, 3, 17] for an introduction to classical random graphs.”
Recent advances in percolation theory and its applications (2015, background): “Many real-world complex networks such as the Internet [159], social networks [160], disease modeling [161] etc.”
An analysis of the fixation probability of a mutant on special classes of non-directed graphs (2008, methodology): “This has the benefit of extending to larger more complex graphical systems, such as the small world networks of Bollobas & Chung (1988) (see also Durrett (2007), Newman et al.”
The largest component in a subcritical random graph with a power law degree distribution (2007, background): “The Annals of Applied Probability 2008, Vol. 18, No. 4, 1651–1668 DOI: 10.1214/07-AAP490 © Institute of Mathematical Statistics, 2008”
Epidemics on Random Graphs with Tunable Clustering (2007, background): “ng the parameters of the model. An important goal of network modelling is to investigate how the structure of the network aﬀects the behavior of various types of dynamic processes on the network; see Durrett (2006) for an overview. When it comes to epidemics, Andersson (1999) is a comprehensible int”
Emergence of Giant Cycles and Slowdown Transition in Random Transpositions and k-Cycles (2010, background): “2 in Durrett [10] may be adapted almost verbatim to show that there is a giant component if and only if E(Dv) > 1, and that the fraction of vertices in the giant component is the survival probability of the associated branching process.”
Random Dot Product Graph Models for Social Networks (2007, background): “There are three models that, together with their variations, are the core models for these complex networks [6].”
Network science: A Review Focused on Tourism (2010, neutral): “Moreover, even in networks not growing by the addition of nodes, links can be added, deleted or moved (rewired) to adapt the network to specific conditions, and, thus besides the preferential attachment family, other mechanisms able to generate a power-law degree distribution exist (Albert et al. 20”