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Random Walks on Small World Networks

Random Walks on Small World Networks

We study the mixing time of random walks on small-world networks modelled as follows: starting with the 2-dimensional periodic grid, each pair of vertices {u,v} with distance d> 1 is added as a ā€œlong-rangeā€ edge with probability proportional to d -r , where rā‰„ 0 is a parameter of the ā€¦