ISSN:
1572-9036
Keywords:
first passage percolation
;
time constant
;
Poisson broken lines process
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this note we introduce a process, which we call 'the Poisson broken lines process", and we compute the intensity of a point process which is obtained by intersecting the Poisson broken lines process with an abscissa axis. In the second part we apply this result to compute an explicit lower bound for the time constant of a planar Bernoulli first passage percolation model with the parameter p 〈 pc.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006398321624
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