%0 Journal Article %T System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site %A Tetsuya Mitsudo %J Physics %D 2013 %I arXiv %R 10.1088/1751-8113/47/14/145001 %X It is found that a large deviation function for frequency of events of size not equal to the system size in the one dimensional forest-fire model with a single ignition site at an edge is independent of the system size, by using an exact "decomposition" of the modified transition matrix of a master equation. An exchange in the largest eigenvalue of the modified transition matrix may not occur in the model. %U http://arxiv.org/abs/1309.5212v2