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diff --git a/doc/latex/latex/dynamics/randomwalks/statdistr2.tex b/doc/latex/latex/dynamics/randomwalks/statdistr2.tex new file mode 100644 index 0000000..09c1bc2 --- /dev/null +++ b/doc/latex/latex/dynamics/randomwalks/statdistr2.tex @@ -0,0 +1,24 @@ +%%% +%%% Layer activity +%%% + +\myprogram{{statdistr2}} + {compute the stationary distribution of additive, multiplicative and intensive biased walks in a multiplex with $2$ layers.} + {$<$layer1$>$ $<$layer2$>$ $<overlapping network>$ $<$N$>$ $b_1$ $b_2$} + +\mydescription{Compute and print the stationary distribution of additive, multiplicative and intensive biased walks in a multiplex with $2$ layers. + Files \textit{layer1}, \textit{layer2}, contain the (undirected) edge list of the two layer, and each + line is in the format: + + \hspace{0.5cm}\textit{src\_ID} \textit{dest\_ID} + + where \textit{src\_ID} and \textit{dest\_ID} are the IDs of the two + endpoints of an edge. + + The file \textit{overlapping network} has also a third column indicating the number of times two nodes are connected across all layers. + + $N$ is the number of nodes, $b_1$ is the first bias exponent (the bias exponent for layer $1$ for additive and multiplicative walks, the bias exponent on the participation coefficient for intensive walks), $b_2$ is the second bias exponent (the bias exponent for layer $1$ for additive and multiplicative walks, the bias exponent on the participation coefficient for intensive walks).} + +\myreturn{N lines. In the n-th line we report the node ID, the stationary distribution of that node for additive walks with exponents $b_1$ and $b_2$, the stationary distribution for multiplicative walks with exponents $b_1$ and $b_2$, the stationary distribution for multiplicative walks with exponents $b_1$ and $b_2$, the values of the bias exponents $b_1$ and $b_2$.} + +\myreference{\refbiased} |