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Document type:
Zeitschriftenaufsatz 
Author(s):
Schlemm, E. 
Title:
On the Markov transition kernels for first-passage percolation on the ladder 
Abstract:
We consider the first-passage percolation problem on the random graph with vertex set Nx{0,1}, edges joining vertices at Euclidean distance equal to unity and independent exponential edge weights. We provide a central limit theorem for the first-passage times ln between the vertices (0,0) and (n,0), thus extending earlier results about the almost sure convergence of ln/n as n→infinity. We use generating function techniques to compute the n-step transition kernels of a closely related M...    »
 
Journal title:
J. Appl. Probab. 
Year:
2011 
Journal volume:
48 
Journal issue:
Reviewed:
ja 
Language:
en 
Semester:
SS 11 
Format:
Text