REVIEW 2 cited by
Directed polymers in a random environment: a review of the phase transitions
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
The model of directed polymer in a random environment is a fundamental model of interaction between a simple random walk and ambient disorder. This interaction gives rise to complex phenomena and transitions from a central limit theory to novel statistical behaviours. Despite its intense study, there are still many aspects and phases which have not yet been identified. In this review we focus on the current status of our understanding of the transition between weak and strong disorder phases, give an account of some of the methods that the study of the model has motivated and highlight some open questions.
Forward citations
Cited by 2 Pith papers
-
Last passage percolation in hierarchical environments
For i.i.d. weights with P(X>t)~Ct^{-2}, the last passage time is shown to be at least c n(log n)^{3/4}/log log n with high probability, and a finite-second-moment distribution is exhibited whose last passage time grow...
-
The Critical 2d Stochastic Heat Flow and Related Models
Review of the proof that 2d directed polymer and stochastic heat equation partition functions converge, in a critical window, to a unique object called the critical 2d stochastic heat flow.
Discussion (0). Continue with ORCID to comment.