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arXiv · 2007.14000

On large deviation rate functions for a continuous-time directed polymer in weak disorder

Ryoki Fukushima·Stefan Junk
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Abstract

We show that the endpoint large deviation rate function for a continuous-time directed polymer agrees with the rate function of the underlying random walk near the origin in the whole weak disorder phase.

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Ryoki Fukushima, Stefan Junk. 2020-07-28. On large deviation rate functions for a continuous-time directed polymer in weak disorder. https://doi.org/10.1214/21-ecp378

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