REVIEW 1 cited by
Differentiability of the Shape Function for Directed Polymers in Continuous Space
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
abstract
For directed polymers, the shape function computes the limiting average energy accrued by paths with a given average slope. We prove that, for a large family of directed polymer models in discrete time and continuous space in dimension $1+1$, for positive and zero temperature, the shape function is differentiable with respect to the slope on the entire real line.
Forward citations
Cited by 1 Pith paper
-
Classification of the limit shape for 1+1-dimensional FPP
In a planar FPP model with deterministic vertical weights, the limit shape has a flat vertical edge if and only if the horizontal edge weight distribution charges its infimum.
Discussion (0). Continue with ORCID to comment.