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  Full distribution of FPTs in random walks on graphs

+ 5 like - 0 dislike

There is a lot of published research on the mean passage passage time (FPT) for random walks on various types of graphs. How about the variance of the FPT and higher momenta? In fact, I would be interested to know for what graphs and random graphs the full distribution of FPTs has been computed analytically in some regime.

For elementary graphs like $K_n$, the full distribution of the FPT is a back-of-the-envelope calculation. For the Erdős–Rényi model in the sparse regime, the full distribution of FPTs has been computed in cond-mat/0410309. I have found other papers about the Erdős–Rényi -- but nothing, for instance, about the FTP distribution in the Barabasi model, or scale-free networks in general.

Perhaps I'm not searching efficiently? If somebody could redirect me, I would be grateful. I'm virtually new to this website, so I can only hope the question is not off-topic.

This post imported from StackExchange MathOverflow at 2015-12-08 22:44 (UTC), posted by SE-user Sandra Wollish
asked Sep 19, 2015 in Theoretical Physics by Sandra Wollish (25 points) [ no revision ]
retagged Dec 8, 2015

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