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First-passage percolation on width-two stretches with exponential link weights

   
@article{ECP1493,
	author = {Eckhard Schlemm},
	title = {First-passage percolation on width-two stretches with exponential link weights},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {14},
	year = {2009},
	keywords = {First-passage percolation, percolation rate, Markov chains, ergodicity},
	abstract = {We consider the first-passage percolation problem on effectively one-dimensional graphs with vertex set $\{1,\dots,n\}\times\{0,1\}$ and translation-invariant edge-structure. For three of six non-trivial cases we obtain exact expressions for the asymptotic percolation rate $\chi$ by solving certain recursive distributional equations and invoking results from ergodic theory to identify $\chi$ as the expected asymptotic one-step growth of the first-passage time from $(0,0)$ to $(n,0)$.},
	pages = {no. 41, 424-434},
	issn = {1083-589X},
	doi = {10.1214/ECP.v14-1493},    
        url = {http://ecp.ejpecp.org/article/view/1493}}