Delocalization of Polymers in Lower Tail Large Deviation

Communications in Mathematical Physics, pp. 781-806, 2019.

Cited by: 0|Bibtex|Views11|DOI:https://doi.org/10.1007/s00220-019-03526-0
Other Links: academic.microsoft.com|arxiv.org|link.springer.com

Abstract:

Directed last passage percolation models on the plane, where one studies the weight as well as the geometry of optimizing paths (called polymers) in a field of i.i.d. weights, are paradigm examples of models in KPZ universality class. In this article, we consider the large deviation regime, i.e., when the polymer has a much smaller (lower...More

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