Yu Zhang
Published 2012-09-26, updated 2013-10-14Version 2
In this paper, we consider the linearly reinforced and the once-reinforced random walk models in the transient phase on trees. We show the large deviations for the upper tails for both models. We also show the exponential decay for the lower tail in the once-reinforced random walk model. On the other hand, the lower tail is in polynomial decay for the linearly reinforced random walk model.
Large Deviations for Partition Functions of Directed Polymers and Some Other Models in an IID Field
Large Deviations for Statistics of Jacobi Process
Large deviations of empirical neighborhood distribution in sparse random graphs
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